Embed Size (px)
Citation preview
Skills PracticeAngles of Polygons
NAME ______________________________________________ DATE ____________ PERIOD _____
8-18-1
© Glencoe/McGraw-Hill 419 Glencoe Geometry
Less
on
8-1
Find the sum of the measures of the interior angles of each convex polygon.
1. nonagon 2. heptagon 3. decagon
The measure of an interior angle of a regular polygon is given. Find the numberof sides in each polygon.
4. 108 5. 120 6. 150
Find the measure of each interior angle using the given information.
7. 8.
9. quadrilateral STUW with �S � �T, 10. hexagon DEFGHI with �U � �W, m�S � 2x � 16, �D � �E � �G � �H, �F � �I,m�U � x � 14 m�D � 7x, m�F � 4x
Find the measures of an interior angle and an exterior angle for each regularpolygon.
11. quadrilateral 12. pentagon 13. dodecagon
Find the measures of an interior angle and an exterior angle given the number ofsides of each regular polygon. Round to the nearest tenth if necessary.
14. 8 15. 9 16. 13
H G
FI
D ES T
UW
2x �
(2x � 20)� (3x � 10)�
(2x � 10)�
L M
NP
x �
x �
(2x � 15)�
(2x � 15)�
A B
CD
© Glencoe/McGraw-Hill 426 Glencoe Geometry
Complete each statement about �LMNP. Justify your answer.
1. L�Q� �
2. �LMN �
3. �LMP �
4. �NPL is supplementary to .
5. L�M� �
ALGEBRA Use �RSTU to find each measure or value.
6. m�RST � 7. m�STU �
8. m�TUR � 9. b �
COORDINATE GEOMETRY Find the coordinates of the intersection of thediagonals of parallelogram PRYZ given each set of vertices.
10. P(2, 5), R(3, 3), Y(�2, �3), Z(�3, �1) 11. P(2, 3), R(1, �2), Y(�5, �7), Z(�4, �2)
12. PROOF Write a paragraph proof of the following.Given: �PRST and �PQVUProve: �V � �S
13. CONSTRUCTION Mr. Rodriquez used the parallelogram at the right to design a herringbone pattern for a paving stone. He will use the pavingstone for a sidewalk. If m�1 is 130, find m�2, m�3, and m�4.
1 2
34
P R
S
U V
Q
T
TU
SRB30� 23
4b � 1
25�
?
?
?
?
?P N
MQ
L
Practice Parallelograms
NAME ______________________________________________ DATE ____________ PERIOD _____
8-28-2
© Glencoe/McGraw-Hill 432 Glencoe Geometry
Determine whether each quadrilateral is a parallelogram. Justify your answer.
1. 2.
3. 4.
COORDINATE GEOMETRY Determine whether a figure with the given vertices is aparallelogram. Use the method indicated.
5. P(�5, 1), S(�2, 2), F(�1, �3), T(2, �2); Slope Formula
6. R(�2, 5), O(1, 3), M(�3, �4), Y(�6, �2); Distance and Slope Formula
ALGEBRA Find x and y so that each quadrilateral is a parallelogram.
7. 8.
9. 10.
11. TILE DESIGN The pattern shown in the figure is to consist of congruent parallelograms. How can the designer be certain that the shapes areparallelograms?
�4y � 2
x � 12
�2x � 6
y � 23�4x � 6
�6x
7y � 312y � 7
3y � 5�3x � 4
�4x � 22y � 8(5x � 29)�
(7x � 11)�(3y � 15)�
(5y � 9)�
118� 62�
118�62�
Practice Tests for Parallelograms
NAME ______________________________________________ DATE ____________ PERIOD _____
8-38-3
© Glencoe/McGraw-Hill 438 Glencoe Geometry
ALGEBRA RSTU is a rectangle.
1. If UZ � x � 21 and ZS � 3x � 15, find US.
2. If RZ � 3x � 8 and ZS � 6x � 28, find UZ.
3. If RT � 5x � 8 and RZ � 4x � 1, find ZT.
4. If m�SUT � 3x � 6 and m�RUS � 5x � 4, find m�SUT.
5. If m�SRT � x2 � 9 and m�UTR � 2x � 44, find x.
6. If m�RSU � x2 � 1 and m�TUS � 3x � 9, find m�RSU.
GHJK is a rectangle. Find each measure if m�1 � 37.
7. m�2 8. m�3
9. m�4 10. m�5
11. m�6 12. m�7
COORDINATE GEOMETRY Determine whether BGHL is a rectangle given each setof vertices. Justify your answer.
13. B(�4, 3), G(�2, 4), H(1, �2), L(�1, �3)
14. B(�4, 5), G(6, 0), H(3, �6), L(�7, �1)
15. B(0, 5), G(4, 7), H(5, 4), L(1, 2)
16. LANDSCAPING Huntington Park officials approved a rectangular plot of land for aJapanese Zen garden. Is it sufficient to know that opposite sides of the garden plot arecongruent and parallel to determine that the garden plot is rectangular? Explain.
K
2 1 5
436
7
J
HG
U T
SRZ
Practice Rectangles
NAME ______________________________________________ DATE ____________ PERIOD _____
8-48-4
© Glencoe/McGraw-Hill 444 Glencoe Geometry
Use rhombus PRYZ with RK � 4y � 1, ZK � 7y � 14,PK � 3x � 1, and YK � 2x � 6.
1. Find PY. 2. Find RZ.
3. Find RY. 4. Find m�YKZ.
Use rhombus MNPQ with PQ � 3�2�, PA � 4x � 1, and AM � 9x � 6.
5. Find AQ. 6. Find m�APQ.
7. Find m�MNP. 8. Find PM.
COORDINATE GEOMETRY Given each set of vertices, determine whether �BEFGis a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning.
9. B(�9, 1), E(2, 3), F(12, �2), G(1, �4)
10. B(1, 3), E(7, �3), F(1, �9), G(�5, �3)
11. B(�4, �5), E(1, �5), F(�7, �1), G(�2, �1)
12. TESSELATIONS The figure is an example of a tessellation. Use a ruler or protractor to measure the shapes and then name the quadrilaterals used to form the figure.
AN
M Q
P
K
P
YR
Z
Practice Rhombi and Squares
NAME ______________________________________________ DATE ____________ PERIOD _____
8-58-5
Skills PracticeTrapezoids
NAME ______________________________________________ DATE ____________ PERIOD _____
8-68-6
© Glencoe/McGraw-Hill 449 Glencoe Geometry
Less
on
8-6
COORDINATE GEOMETRY ABCD is a quadrilateral with vertices A(�4, �3),B(3, �3), C(6, 4), D(�7, 4).
1. Verify that ABCD is a trapezoid.
2. Determine whether ABCD is an isosceles trapezoid. Explain.
COORDINATE GEOMETRY EFGH is a quadrilateral with vertices E(1, 3), F(5, 0),G(8, �5), H(�4, 4).
3. Verify that EFGH is a trapezoid.
4. Determine whether EFGH is an isosceles trapezoid. Explain.
COORDINATE GEOMETRY LMNP is a quadrilateral with vertices L(�1, 3), M(�4, 1),N(�6, 3), P(0, 7).
5. Verify that LMNP is a trapezoid.
6. Determine whether LMNP is an isosceles trapezoid. Explain.
ALGEBRA Find the missing measure(s) for the given trapezoid.
7. For trapezoid HJKL, S and T are 8. For trapezoid WXYZ, P and Q aremidpoints of the legs. Find HJ. midpoints of the legs. Find WX.
9. For trapezoid DEFG, T and U are 10. For isosceles trapezoid QRST, find themidpoints of the legs. Find TU, m�E, length of the median, m�Q, and m�S.and m�G.
ST
RQ125�
60
25
D E
FG
T U85�
35�42
14
W X
YZ
P Q12
19
H J
KL
S T72
86
© Glencoe/McGraw-Hill 456 Glencoe Geometry
Position and label each quadrilateral on the coordinate plane.
1. parallelogram with side length b units 2. isosceles trapezoid with height b units,and height a units bases 2c � a units and 2c � a units
Name the missing coordinates for each quadrilateral.
3. parallelogram 4. isosceles trapezoid
Position and label the figure on the coordinate plane. Then write a coordinateproof for the following.
5. The opposite sides of a parallelogram are congruent.
6. THEATER A stage is in the shape of a trapezoid. Write a coordinate proof to prove that T�R� and S�F� are parallel.
x
y
T(10, 0)
S(30, 25)F(0, 25)
R(20, 0)O
B(a, 0)
D(b, c) C(a � b, c)
A(0, 0)
x
y
W(a, 0)
Z(b, c)Y(?, ?)
X(?, ?) Ox
y
J(2b, 0)
K(?, a)L(c, ?)
H(0, 0)O
B(a � 2c, 0)
D(a, b) C(2c, b)
A(0, 0)B(b, 0)
D(c, a) C(b � c, a)
A(0, 0)
Practice Coordinate Proof with Quadrilaterals
NAME ______________________________________________ DATE ____________ PERIOD _____
8-78-7
© Glencoe/McGraw-Hill A3 Glencoe Geometry
An
swer
s
Skil
ls P
ract
ice
An
gle
s o
f P
oly
go
ns
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-1
8-1
©G
lenc
oe/M
cGra
w-H
ill41
9G
lenc
oe G
eom
etry
Lesson 8-1
Fin
d t
he
sum
of
the
mea
sure
s of
th
e in
teri
or a
ngl
es o
f ea
ch c
onve
x p
olyg
on.
1.n
onag
on2.
hep
tago
n3.
deca
gon
1260
900
1440
Th
e m
easu
re o
f an
in
teri
or a
ngl
e of
a r
egu
lar
pol
ygon
is
give
n.F
ind
th
e n
um
ber
of s
ides
in
eac
h p
olyg
on.
4.10
85.
120
6.15
0
56
12
Fin
d t
he
mea
sure
of
each
in
teri
or a
ngl
e u
sin
g th
e gi
ven
in
form
atio
n.
7.8.
m�
A�
115,
m�
B�
65,
m�
L�
100,
m�
M�
110,
m�
C�
115,
m�
D�
65m
�N
�70
,m�
P�
80
9.qu
adri
late
ral
ST
UW
wit
h �
S�
�T
,10
.hex
agon
DE
FG
HI
wit
h
�U
��
W,m
�S
�2x
�16
,�
D�
�E
� �
G�
�H
,�F
��
I,m
�U
�x
�14
m�
D�
7x,m
�F
�4x
m�
S�
116,
m�
T�
116,
m�
D�
140,
m�
E�
140,
m�
U�
64,m
�W
�64
m�
F�
80,m
�G
�14
0,m
�H
�14
0,m
�I�
80
Fin
d t
he
mea
sure
s of
an
in
teri
or a
ngl
e an
d a
n e
xter
ior
angl
e fo
r ea
ch r
egu
lar
pol
ygon
.
11.q
uad
rila
tera
l12
.pen
tago
n13
.dod
ecag
on
90,9
010
8,72
150,
30
Fin
d t
he
mea
sure
s of
an
in
teri
or a
ngl
e an
d a
n e
xter
ior
angl
e gi
ven
th
e n
um
ber
of
sid
es o
f ea
ch r
egu
lar
pol
ygon
.Rou
nd
to
the
nea
rest
ten
th i
f n
eces
sary
.
14.8
15.9
16.1
3
135,
4514
0,40
152.
3,27
.7
HG
FI
DE
ST
UW
2x�( 2x
� 2
0)�
( 3x
� 1
0)�
( 2x
� 1
0)�
LM
NP
x�
x�
( 2x
� 1
5)�
( 2x
� 1
5)�
AB
CD
©G
lenc
oe/M
cGra
w-H
ill42
0G
lenc
oe G
eom
etry
Fin
d t
he
sum
of
the
mea
sure
s of
th
e in
teri
or a
ngl
es o
f ea
ch c
onve
x p
olyg
on.
1.11
-gon
2.14
-gon
3.17
-gon
1620
2160
2700
Th
e m
easu
re o
f an
in
teri
or a
ngl
e of
a r
egu
lar
pol
ygon
is
give
n.F
ind
th
e n
um
ber
of s
ides
in
eac
h p
olyg
on.
4.14
45.
156
6.16
0
1015
18
Fin
d t
he
mea
sure
of
each
in
teri
or a
ngl
e u
sin
g th
e gi
ven
in
form
atio
n.
7.8.
quad
rila
tera
l R
ST
Uw
ith
m
�R
�6x
�4,
m�
S�
2x�
8
m�
J�
115,
m�
K�
130,
m�
M�
50,m
�N
�65
m�
R�
128,
m�
S�
52,
m�
T�
128,
m�
U�
52
Fin
d t
he
mea
sure
s of
an
in
teri
or a
ngl
e an
d a
n e
xter
ior
angl
e fo
r ea
ch r
egu
lar
pol
ygon
.Rou
nd
to
the
nea
rest
ten
th i
f n
eces
sary
.
9.16
-gon
10.2
4-go
n11
.30-
gon
157.
5,22
.516
5,15
168,
12
Fin
d t
he
mea
sure
s of
an
in
teri
or a
ngl
e an
d a
n e
xter
ior
angl
e gi
ven
th
e n
um
ber
of
sid
es o
f ea
ch r
egu
lar
pol
ygon
.Rou
nd
to
the
nea
rest
ten
th i
f n
eces
sary
.
12.1
413
.22
14.4
0
154.
3,25
.716
3.6,
16.4
171,
9
15.C
RYST
ALL
OG
RA
PHY
Cry
stal
s ar
e cl
assi
fied
acc
ordi
ng
to s
even
cry
stal
sys
tem
s.T
he
basi
s of
th
e cl
assi
fica
tion
is
the
shap
es o
f th
e fa
ces
of t
he
crys
tal.
Tu
rqu
oise
bel
ongs
to
the
tric
lin
ic s
yste
m.E
ach
of
the
six
face
s of
tu
rqu
oise
is
in t
he
shap
e of
a p
aral
lelo
gram
.F
ind
the
sum
of
the
mea
sure
s of
th
e in
teri
or a
ngl
es o
f on
e su
ch f
ace.
360
RS
TU
x�
( 2x
� 1
5)�
( 3x
� 2
0)�
( x �
15)
�
JK
MN
Pra
ctic
e (
Ave
rag
e)
An
gle
s o
f P
oly
go
ns
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-1
8-1
Answers (Lesson 8-1)
© Glencoe/McGraw-Hill A6 Glencoe Geometry
Skil
ls P
ract
ice
Par
alle
log
ram
s
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-2
8-2
©G
lenc
oe/M
cGra
w-H
ill42
5G
lenc
oe G
eom
etry
Lesson 8-2
Com
ple
te e
ach
sta
tem
ent
abou
t �
DE
FG
.Ju
stif
y yo
ur
answ
er.
1.D�
G�||
E�F�;
op
p.s
ides
of
�ar
e || .
2.D�
E��
G�F�;
op
p.s
ides
of
�ar
e �
.
3.G�
H��
E�H�
;d
iag
.of
�b
isec
t ea
ch o
ther
.
4.�
DE
F�
�F
GD
;o
pp
.�o
f �
are
�.
5.�
EF
Gis
su
pple
men
tary
to
.�
DE
Fo
r �
FG
D;
con
s.�
in �
are
sup
pl.
6.�
DG
E�
�F
EG
;d
iag
.of
�se
par
ates
�in
to 2
��
s.
ALG
EBR
AU
se �
WX
YZ
to f
ind
eac
h m
easu
re o
r va
lue.
7.m
�X
YZ
�8.
m�
WZ
Y�
9.m
�W
XY
�10
.a�
CO
OR
DIN
ATE
GEO
MET
RYF
ind
th
e co
ord
inat
es o
f th
e in
ters
ecti
on o
f th
ed
iago
nal
s of
par
alle
logr
am H
JK
Lgi
ven
eac
h s
et o
f ve
rtic
es.
11.H
(1,1
),J
(2,3
),K
(6,3
),L
(5,1
)12
.H(�
1,4)
,J(3
,3),
K(3
,�2)
,L(�
1,�
1)
(3.5
,2)
(1,1
)
13.P
RO
OF
Wri
te a
par
agra
ph p
roof
of
the
theo
rem
Con
secu
tive
an
gles
in
a p
aral
lelo
gram
are
supp
lem
enta
ry.
Giv
en:
�A
BC
DP
rove
:�
Aan
d �
Bar
e su
pp
lem
enta
ry.
�B
and
�C
are
sup
ple
men
tary
.�
Can
d �
Dar
e su
pp
lem
enta
ry.
�D
and
�A
are
sup
ple
men
tary
.P
roo
f:W
e ar
e g
iven
�A
BC
D,s
o w
e kn
ow
th
at A�
B�|| C�
D�an
d B�
C�|| D�
A�by
the
def
initi
on
of
a p
aral
lelo
gra
m.W
e al
so k
now
th
at if
tw
o p
aral
lel l
ines
are
cut
by a
tra
nsv
ersa
l,th
en c
on
secu
tive
inte
rio
r an
gle
s ar
e su
pp
lem
enta
ry.
So
,�A
and
�B
,�B
and
�C
,�C
and
�D
,an
d �
Dan
d �
Aar
e p
airs
of
sup
ple
men
tary
an
gle
s.
DC
BA
1560
6012
0
YZ
XW
A 50�
30
2 a 70�
?
?
?
???F
G
ED
H
©G
lenc
oe/M
cGra
w-H
ill42
6G
lenc
oe G
eom
etry
Com
ple
te e
ach
sta
tem
ent
abou
t �
LM
NP
.Ju
stif
y yo
ur
answ
er.
1.L�
Q��
N�Q�
;d
iag
.of
�b
isec
t ea
ch o
ther
.
2.�
LM
N�
�N
PL
;o
pp
.�o
f �
are
�.
3.�
LM
P�
�N
PM
;d
iag
.of
�se
par
ates
�in
to 2
��
s.
4.�
NP
Lis
su
pple
men
tary
to
.�
MN
Po
r �
PL
M;
con
s.�
in �
are
sup
pl.
5.L�
M��
N�P�
;o
pp
.sid
es o
f �
are
�.
ALG
EBR
AU
se �
RS
TU
to f
ind
eac
h m
easu
re o
r va
lue.
6.m
�R
ST
�7.
m�
ST
U�
8.m
�T
UR
�9.
b�
CO
OR
DIN
ATE
GEO
MET
RYF
ind
th
e co
ord
inat
es o
f th
e in
ters
ecti
on o
f th
ed
iago
nal
s of
par
alle
logr
am P
RY
Zgi
ven
eac
h s
et o
f ve
rtic
es.
10.P
(2,5
),R
(3,3
),Y
(�2,
�3)
,Z(�
3,�
1)11
.P(2
,3),
R(1
,�2)
,Y(�
5,�
7),Z
(�4,
�2)
(0,1
)(�
1.5,
�2)
12.P
RO
OF
Wri
te a
par
agra
ph p
roof
of
the
foll
owin
g.G
iven
:�P
RS
Tan
d �
PQ
VU
Pro
ve:�
V�
�S
Pro
of:
We
are
giv
en �
PR
ST
and
�P
QV
U.S
ince
op
po
site
ang
les
of
a p
aral
lelo
gra
m a
re c
on
gru
ent,
�P
��
Van
d
�P
��
S.S
ince
co
ng
ruen
ce o
f an
gle
s is
tra
nsi
tive
,�
V�
�S
by t
he
Tran
siti
ve P
rop
erty
of
Co
ng
ruen
ce.
13.C
ON
STR
UC
TIO
NM
r.R
odri
quez
use
d th
e pa
rall
elog
ram
at
the
righ
t to
de
sign
a h
erri
ngb
one
patt
ern
for
a p
avin
g st
one.
He
wil
l u
se t
he
pavi
ng
ston
e fo
r a
side
wal
k.If
m�
1 is
130
,fin
d m
�2,
m�
3,an
d m
�4.
50,1
30,5
0
12
34P
R
S
UVQ
T
612
5
5512
5T
U
SR
B30
�23
4b �
1
25�
?
?
??
?P
N
MQ
L
Pra
ctic
e (
Ave
rag
e)
Par
alle
log
ram
s
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-2
8-2
Answers (Lesson 8-2)
© Glencoe/McGraw-Hill A9 Glencoe Geometry
An
swer
s
Skil
ls P
ract
ice
Test
s fo
r P
aral
lelo
gra
ms
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-3
8-3
©G
lenc
oe/M
cGra
w-H
ill43
1G
lenc
oe G
eom
etry
Lesson 8-3
Det
erm
ine
wh
eth
er e
ach
qu
adri
late
ral
is a
par
alle
logr
am.J
ust
ify
you
r an
swer
.
1.2.
Yes;
a p
air
of
op
po
site
sid
esYe
s;b
oth
pai
rs o
f o
pp
osi
teis
par
alle
l an
d c
on
gru
ent.
ang
les
are
con
gru
ent.
3.4.
No
;n
on
e o
f th
e te
sts
for
Yes;
bo
th p
airs
of
op
po
site
sid
esp
aral
lelo
gra
ms
is f
ulf
illed
.ar
e co
ng
ruen
t.
CO
OR
DIN
ATE
GEO
MET
RYD
eter
min
e w
het
her
a f
igu
re w
ith
th
e gi
ven
ver
tice
s is
ap
aral
lelo
gram
.Use
th
e m
eth
od i
nd
icat
ed.
5.P
(0,0
),Q
(3,4
),S
(7,4
),Y
(4,0
);S
lope
For
mu
la
yes
6.S
(�2,
1),R
(1,3
),T
(2,0
),Z
(�1,
�2)
;Dis
tan
ce a
nd
Slo
pe F
orm
ula
yes
7.W
(2,5
),R
(3,3
),Y
(�2,
�3)
,N(�
3,1)
;Mid
poin
t F
orm
ula
no
ALG
EBR
AF
ind
xan
d y
so t
hat
eac
h q
uad
rila
tera
l is
a p
aral
lelo
gram
.
8.9.
x�
24,y
�19
x�
3,y
�14
10.
11.
x�
45,y
�20
x�
17,y
�9
3x �
14
x �
20
3y �
2y
� 2
0( 4
x �
35)
�
( 3x
� 1
0)�
( 2y
� 5
) �
( y �
15)
�
2y �
11
y � 3
4x � 3
3x
x �
16
y �
19
2y
2x �
8
©G
lenc
oe/M
cGra
w-H
ill43
2G
lenc
oe G
eom
etry
Det
erm
ine
wh
eth
er e
ach
qu
adri
late
ral
is a
par
alle
logr
am.J
ust
ify
you
r an
swer
.
1.2.
Yes;
the
dia
go
nal
s b
isec
tN
o;
no
ne
of
the
test
s fo
rea
ch o
ther
.p
aral
lelo
gra
ms
is f
ulf
illed
.
3.4.
Yes;
bo
th p
airs
of
op
po
site
No
;n
on
e o
f th
e te
sts
for
ang
les
are
con
gru
ent.
par
alle
log
ram
s is
fu
lfill
ed.
CO
OR
DIN
ATE
GEO
MET
RYD
eter
min
e w
het
her
a f
igu
re w
ith
th
e gi
ven
ver
tice
s is
ap
aral
lelo
gram
.Use
th
e m
eth
od i
nd
icat
ed.
5.P
(�5,
1),S
(�2,
2),F
(�1,
�3)
,T(2
,�2)
;Slo
pe F
orm
ula
no
6.R
(�2,
5),O
(1,3
),M
(�3,
�4)
,Y(�
6,�
2);D
ista
nce
an
d S
lope
For
mu
la
yes
ALG
EBR
AF
ind
xan
d y
so t
hat
eac
h q
uad
rila
tera
l is
a p
aral
lelo
gram
.
7.8.
x�
20,y
�12
x�
�6,
y�
13
9.10
.
x�
�3,
y�
2x
��
2,y
��
5
11.T
ILE
DES
IGN
Th
e pa
tter
n s
how
n i
n t
he
figu
re i
s to
con
sist
of
con
gru
ent
para
llel
ogra
ms.
How
can
th
e de
sign
er b
e ce
rtai
n t
hat
th
e sh
apes
are
para
llel
ogra
ms?
Sam
ple
an
swer
:C
on
firm
th
at b
oth
pai
rs o
f o
pp
osi
te �
s ar
e �
.
�4y
� 2
x � 12
�2x
� 6
y �
23
�4x
� 6
�6x
7y �
312
y �
7
3y �
5�
3x
� 4
�4x
� 2
2y �
8( 5
x �
29)
�
( 7x
� 1
1)�
( 3y
� 1
5)�
( 5y
� 9
) �
118�
62�
118�
62�
Pra
ctic
e (
Ave
rag
e)
Test
s fo
r P
aral
lelo
gra
ms
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-3
8-3
Answers (Lesson 8-3)
© Glencoe/McGraw-Hill A12 Glencoe Geometry
Skil
ls P
ract
ice
Rec
tan
gle
s
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-4
8-4
©G
lenc
oe/M
cGra
w-H
ill43
7G
lenc
oe G
eom
etry
Lesson 8-4
ALG
EBR
AA
BC
Dis
a r
ecta
ngl
e.
1.If
AC
�2x
�13
an
d D
B�
4x�
1,fi
nd
x.7
2.If
AC
�x
�3
and
DB
�3x
�19
,fin
d A
C.
14
3.If
AE
�3x
�3
and
EC
�5x
�15
,fin
d A
C.
60
4.If
DE
�6x
�7
and
AE
�4x
�9,
fin
d D
B.
82
5.If
m�
DA
C�
2x�
4 an
d m
�B
AC
�3x
�1,
fin
d x.
17
6.If
m�
BD
C�
7x�
1 an
d m
�A
DB
�9x
�7,
fin
d m
�B
DC
.43
7.If
m�
AB
D�
x2�
7 an
d m
�C
DB
�4x
�5,
fin
d x.
6
8.If
m�
BA
C�
x2�
3 an
d m
�C
AD
�x
�15
,fin
d m
�B
AC
.67
or
84
PR
ST
is a
rec
tan
gle.
Fin
d e
ach
mea
sure
if
m�
1 �
50.
9.m
�2
4010
.m�
340
11.m
�4
5012
.m�
540
13.m
�6
4014
.m�
750
15.m
�8
100
16.m
�9
80
CO
OR
DIN
ATE
GEO
MET
RYD
eter
min
e w
het
her
TU
XY
is a
rec
tan
gle
give
n e
ach
set
of v
erti
ces.
Ju
stif
y yo
ur
answ
er.
17.T
(�3,
�2)
,U(�
4,2)
,X(2
,4),
Y(3
,0)
No
;sa
mp
le a
nsw
er:
An
gle
s ar
e n
ot
rig
ht
ang
les.
18.T
(�6,
3),U
(0,6
),X
(2,2
),Y
(�4,
�1)
Yes;
sam
ple
an
swer
:O
pp
osi
te s
ides
are
co
ng
ruen
t an
d d
iag
on
als
are
con
gru
ent.
19.T
(4,1
),U
(3,�
1),X
(�3,
2),Y
(�2,
4)
Yes;
sam
ple
an
swer
:O
pp
osi
te s
ides
are
par
alle
l an
d c
on
secu
tive
sid
esar
e p
erp
end
icu
lar.
T
12
34
56
78
9
SRPD
CBA
E
©G
lenc
oe/M
cGra
w-H
ill43
8G
lenc
oe G
eom
etry
ALG
EBR
AR
ST
Uis
a r
ecta
ngl
e.
1.If
UZ
�x
�21
an
d Z
S�
3x�
15,f
ind
US
.78
2.If
RZ
�3x
�8
and
ZS
�6x
�28
,fin
d U
Z.
44
3.If
RT
�5x
�8
and
RZ
�4x
�1,
fin
d Z
T.
9
4.If
m�
SU
T�
3x�
6 an
d m
�R
US
�5x
�4,
fin
d m
�S
UT
.39
5.If
m�
SR
T�
x2�
9 an
d m
�U
TR
�2x
�44
,fin
d x.
�5
or
7
6.If
m�
RS
U�
x2�
1 an
d m
�T
US
�3x
�9,
fin
d m
�R
SU
.24
or
3
GH
JK
is a
rec
tan
gle.
Fin
d e
ach
mea
sure
if
m�
1 �
37.
7.m
�2
538.
m�
337
9.m
�4
3710
.m�
553
11.m
�6
106
12.m
�7
74
CO
OR
DIN
ATE
GEO
MET
RYD
eter
min
e w
het
her
BG
HL
is a
rec
tan
gle
give
n e
ach
set
of v
erti
ces.
Ju
stif
y yo
ur
answ
er.
13.B
(�4,
3),G
(�2,
4),H
(1,�
2),L
(�1,
�3)
Yes;
sam
ple
an
swer
:O
pp
osi
te s
ides
are
par
alle
l an
d c
on
secu
tive
sid
esar
e p
erp
end
icu
lar.
14.B
(�4,
5),G
(6,0
),H
(3,�
6),L
(�7,
�1)
Yes;
sam
ple
an
swer
:O
pp
osi
te s
ides
are
co
ng
ruen
t an
d d
iag
on
als
are
con
gru
ent.
15.B
(0,5
),G
(4,7
),H
(5,4
),L
(1,2
)
No
;sa
mp
le a
nsw
er:
Dia
go
nal
s ar
e n
ot
con
gru
ent.
16.L
AN
DSC
API
NG
Hu
nti
ngt
on P
ark
offi
cial
s ap
prov
ed a
rec
tan
gula
r pl
ot o
f la
nd
for
aJa
pan
ese
Zen
gar
den
.Is
it s
uff
icie
nt
to k
now
th
at o
ppos
ite
side
s of
th
e ga
rden
plo
t ar
eco
ngr
uen
t an
d pa
rall
el t
o de
term
ine
that
th
e ga
rden
plo
t is
rec
tan
gula
r? E
xpla
in.
No
;if
yo
u o
nly
kn
ow
th
at o
pp
osi
te s
ides
are
co
ng
ruen
t an
d p
aral
lel,
the
mo
st y
ou
can
co
ncl
ud
e is
th
at t
he
plo
t is
a p
aral
lelo
gra
m.
K
21
5
43
67
JHGU
TSR
Z
Pra
ctic
e (
Ave
rag
e)
Rec
tan
gle
s
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-4
8-4
Answers (Lesson 8-4)
© Glencoe/McGraw-Hill A15 Glencoe Geometry
An
swer
s
Skil
ls P
ract
ice
Rh
om
bi a
nd
Sq
uar
es
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-5
8-5
©G
lenc
oe/M
cGra
w-H
ill44
3G
lenc
oe G
eom
etry
Lesson 8-5
Use
rh
omb
us
DK
LM
wit
h A
M�
4x,A
K�
5x�
3,an
d
DL
�10
.
1.F
ind
x.2.
Fin
d A
L.
35
3.F
ind
m�
KA
L.
4.F
ind
DM
.
9013
Use
rh
omb
us
RS
TV
wit
h R
S�
5y�
2,S
T�
3y�
6,an
d
NV
�6.
5.F
ind
y.6.
Fin
d T
V.
212
7.F
ind
m�
NT
V.
8.F
ind
m�
SV
T.
3060
9.F
ind
m�
RS
T.
10.F
ind
m�
SR
V.
120
60
CO
OR
DIN
ATE
GEO
MET
RYG
iven
eac
h s
et o
f ve
rtic
es,d
eter
min
e w
het
her
�Q
RS
Tis
a r
hom
bus,
a re
cta
ngl
e,or
a s
qu
are
.Lis
t al
l th
at a
pp
ly.E
xpla
in y
our
reas
onin
g.
11.Q
(3,5
),R
(3,1
),S
(�1,
1),T
(�1,
5)
Rh
om
bus,
rect
ang
le,s
qu
are;
all s
ides
are
co
ng
ruen
t an
d t
he
dia
go
nal
sar
e p
erp
end
icu
lar
and
co
ng
ruen
t.
12.Q
(�5,
12),
R(5
,12)
,S(�
1,4)
,T(�
11,4
)
Rh
om
bus;
all s
ides
are
co
ng
ruen
t an
d t
he
dia
go
nal
s ar
e p
erp
end
icu
lar,
but
no
t co
ng
ruen
t.
13.Q
(�6,
�1)
,R(4
,�6)
,S(2
,5),
T(�
8,10
)
Rh
om
bus;
all s
ides
are
co
ng
ruen
t an
d t
he
dia
go
nal
s ar
e p
erp
end
icu
lar,
but
no
t co
ng
ruen
t.
14.Q
(2,�
4),R
(�6,
�8)
,S(�
10,2
),T
(�2,
6)
No
ne;
op
po
site
sid
es a
re c
on
gru
ent,
but
the
dia
go
nal
s ar
e n
eith
erco
ng
ruen
t n
or
per
pen
dic
ula
r.
RV
NS
T
ML
AD
K
©G
lenc
oe/M
cGra
w-H
ill44
4G
lenc
oe G
eom
etry
Use
rh
omb
us
PR
YZ
wit
h R
K�
4y�
1,Z
K�
7y�
14,
PK
�3x
�1,
and
YK
�2x
�6.
1.F
ind
PY
.2.
Fin
d R
Z.
4042
3.F
ind
RY
.4.
Fin
d m
�Y
KZ
.
2990
Use
rh
omb
us
MN
PQ
wit
h P
Q�
3�2�,
PA
�4x
�1,
and
A
M�
9x �
6.
5.F
ind
AQ
.6.
Fin
d m
�A
PQ
.
345
7.F
ind
m�
MN
P.
8.F
ind
PM
.
906
CO
OR
DIN
ATE
GEO
MET
RYG
iven
eac
h s
et o
f ve
rtic
es,d
eter
min
e w
het
her
�B
EF
Gis
a r
hom
bus,
a re
cta
ngl
e,or
a s
qu
are
.Lis
t al
l th
at a
pp
ly.E
xpla
in y
our
reas
onin
g.
9.B
(�9,
1),E
(2,3
),F
(12,
�2)
,G(1
,�4)
Rh
om
bus;
all s
ides
are
co
ng
ruen
t an
d t
he
dia
go
nal
s ar
e p
erp
end
icu
lar,
but
no
t co
ng
ruen
t.
10.B
(1,3
),E
(7,�
3),F
(1,�
9),G
(�5,
�3)
Rh
om
bus,
rect
ang
le,s
qu
are;
all s
ides
are
co
ng
ruen
t an
d t
he
dia
go
nal
sar
e p
erp
end
icu
lar
and
co
ng
ruen
t.
11.B
(�4,
�5)
,E(1
,�5)
,F(�
7,�
1),G
(�2,
�1)
No
ne;
two
of
the
op
po
site
sid
es a
re n
ot
con
gru
ent.
12.T
ESSE
LATI
ON
ST
he
figu
re i
s an
exa
mpl
e of
a t
esse
llat
ion
.Use
a r
ule
r
or p
rotr
acto
r to
mea
sure
th
e sh
apes
an
d th
en n
ame
the
quad
rila
tera
ls
use
d to
for
m t
he
figu
re.
Th
e fi
gu
re c
on
sist
s o
f 6
con
gru
ent
rho
mb
i.
AN M
QP
K
P
YR
Z
Pra
ctic
e (
Ave
rag
e)
Rh
om
bi a
nd
Sq
uar
es
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-5
8-5
Answers (Lesson 8-5)
© Glencoe/McGraw-Hill A18 Glencoe Geometry
Skil
ls P
ract
ice
Trap
ezo
ids
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-6
8-6
©G
lenc
oe/M
cGra
w-H
ill44
9G
lenc
oe G
eom
etry
Lesson 8-6
CO
OR
DIN
ATE
GEO
MET
RYA
BC
Dis
a q
uad
rila
tera
l w
ith
ver
tice
s A
(�4,
�3)
,B
(3,�
3),C
(6,4
),D
(�7,
4).
1.V
erif
y th
at A
BC
Dis
a t
rape
zoid
.
A�B�
|| C�D�
2.D
eter
min
e w
het
her
AB
CD
is a
n i
sosc
eles
tra
pezo
id.E
xpla
in.
iso
scel
es;
AD
��
58�an
d B
C�
�58�
CO
OR
DIN
ATE
GEO
MET
RYE
FG
His
a q
uad
rila
tera
l w
ith
ver
tice
s E
(1,3
),F
(5,0
),G
(8,�
5),H
(�4,
4).
3.V
erif
y th
at E
FG
His
a t
rape
zoid
.
E�F�
|| G�H�
4.D
eter
min
e w
het
her
EF
GH
is a
n i
sosc
eles
tra
pezo
id.E
xpla
in.
no
t is
osc
eles
;E
H�
�26�
and
FG
��
34�
CO
OR
DIN
ATE
GEO
MET
RYL
MN
Pis
a q
uad
rila
tera
l w
ith
ver
tice
s L
(�1,
3),M
(�4,
1),
N(�
6,3)
,P(0
,7).
5.V
erif
y th
at L
MN
Pis
a t
rape
zoid
.L�M�
|| N�P�
6.D
eter
min
e w
het
her
LM
NP
is a
n i
sosc
eles
tra
pezo
id.E
xpla
in.
no
t is
osc
eles
;L
P�
�17�
and
MN
��
8�
ALG
EBR
AF
ind
th
e m
issi
ng
mea
sure
(s)
for
the
give
n t
rap
ezoi
d.
7.F
or t
rape
zoid
HJ
KL
,San
d T
are
8.F
or t
rape
zoid
WX
YZ
,Pan
d Q
are
mid
poin
ts o
f th
e le
gs.F
ind
HJ
.58
mid
poin
ts o
f th
e le
gs.F
ind
WX
.5
9.F
or t
rape
zoid
DE
FG
,Tan
d U
are
10.F
or i
sosc
eles
tra
pezo
id Q
RS
T,f
ind
the
mid
poin
ts o
f th
e le
gs.F
ind
TU
,m�
E,
len
gth
of
the
med
ian
,m�
Q,a
nd
m�
S.
and
m�
G.
28,9
5,14
542
.5,1
25,5
5
ST
RQ
125�
60 25
DE F
G
TU
85�
35�
42
14
WX
YZ
PQ
12 19
HJ
KLS
T72 86
©G
lenc
oe/M
cGra
w-H
ill45
0G
lenc
oe G
eom
etry
CO
OR
DIN
ATE
GEO
MET
RYR
ST
Uis
a q
uad
rila
tera
l w
ith
ver
tice
s R
(�3,
�3)
,S(5
,1),
T(1
0,�
2),U
(�4,
�9)
.
1.V
erif
y th
at R
ST
Uis
a t
rape
zoid
.
R�S�
|| T�U�
2.D
eter
min
e w
het
her
RS
TU
is a
n i
sosc
eles
tra
pezo
id.E
xpla
in.
no
t is
osc
eles
;R
U�
�37�
and
ST
��
34�
CO
OR
DIN
ATE
GEO
MET
RYB
GH
Jis
a q
uad
rila
tera
l w
ith
ver
tice
s B
(�9,
1),G
(2,3
),H
(12,
�2)
,J(�
10,�
6).
3.V
erif
y th
at B
GH
Jis
a t
rape
zoid
.
B�G�
|| H�J�
4.D
eter
min
e w
het
her
BG
HJ
is a
n i
sosc
eles
tra
pezo
id.E
xpla
in.
no
t is
osc
eles
;B
J�
�50�
and
GH
��
125
�
ALG
EBR
AF
ind
th
e m
issi
ng
mea
sure
(s)
for
the
give
n t
rap
ezoi
d.
5.F
or t
rape
zoid
CD
EF
,Van
d Y
are
6.F
or t
rape
zoid
WR
LP
,Ban
d C
are
mid
poin
ts o
f th
e le
gs.F
ind
CD
.38
mid
poin
ts o
f th
e le
gs.F
ind
LP
.18
7.F
or t
rape
zoid
FG
HI,
Kan
d M
are
8.F
or i
sosc
eles
tra
pezo
id T
VZ
Y,f
ind
the
mid
poin
ts o
f th
e le
gs.F
ind
FI,
m�
F,
len
gth
of
the
med
ian
,m�
T,a
nd
m�
Z.
and
m�
I.51
,40,
5519
.5,6
0,12
0
9.C
ON
STR
UC
TIO
NA
set
of
stai
rs l
eadi
ng
to t
he
entr
ance
of
a bu
ildi
ng
is d
esig
ned
in
th
esh
ape
of a
n i
sosc
eles
tra
pezo
id w
ith
th
e lo
nge
r ba
se a
t th
e bo
ttom
of
the
stai
rs a
nd
the
shor
ter
base
at
the
top.
If t
he
bott
om o
f th
e st
airs
is
21 f
eet
wid
e an
d th
e to
p is
14,
fin
dth
e w
idth
of
the
stai
rs h
alfw
ay t
o th
e to
p.17
.5 f
t
10.D
ESK
TO
PSA
car
pen
ter
nee
ds t
o re
plac
e se
vera
l tr
apez
oid-
shap
ed d
eskt
ops
in a
clas
sroo
m.T
he
carp
ente
r kn
ows
the
len
gth
s of
bot
h b
ases
of
the
desk
top.
Wh
at o
ther
mea
sure
men
ts,i
f an
y,do
es t
he
carp
ente
r n
eed?
Sam
ple
an
swer
:th
e m
easu
res
of
the
bas
e an
gle
sV
YZ
T60
�34 5
H
KM
G
IF
140�
125�
21
36
WR
LP
BC
4266F
E
DC
VY
2818Pra
ctic
e (
Ave
rag
e)
Trap
ezo
ids
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-6
8-6
Answers (Lesson 8-6)
© Glencoe/McGraw-Hill A21 Glencoe Geometry
An
swer
s
Skil
ls P
ract
ice
Co
ord
inat
e P
roo
f w
ith
Qu
adri
late
rals
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-7
8-7
©G
lenc
oe/M
cGra
w-H
ill45
5G
lenc
oe G
eom
etry
Lesson 8-7
Pos
itio
n a
nd
lab
el e
ach
qu
adri
late
ral
on t
he
coor
din
ate
pla
ne.
1.re
ctan
gle
wit
h l
engt
h 2
au
nit
s an
d 2.
isos
cele
s tr
apez
oid
wit
h h
eigh
t a
un
its,
hei
ght
au
nit
sba
ses
c�
bu
nit
s an
d b
�c
un
its
Nam
e th
e m
issi
ng
coor
din
ates
for
eac
h q
uad
rila
tera
l.
3.re
ctan
gle
C(c
,a)
4.re
ctan
gle
G(0
,2b
)
5.pa
rall
elog
ram
R(a
�b
,c),
S(a
,0)
6.is
osce
les
trap
ezoi
dW
(a�
b,c
),Y
(0,c
)
Pos
itio
n a
nd
lab
el t
he
figu
re o
n t
he
coor
din
ate
pla
ne.
Th
en w
rite
a c
oord
inat
ep
roof
for
th
e fo
llow
ing.
7.T
he
segm
ents
join
ing
the
mid
poin
ts o
f th
e si
des
of a
rh
ombu
s fo
rm a
rec
tan
gle.
Giv
en:
AB
CD
is a
rh
om
bus.
M,N
,P,a
nd
Qar
e th
e m
idp
oin
ts
of
A�B�
,B�C�
,C�D�
,an
d D�
A�,r
esp
ecti
vely
.P
rove
:M
NP
Qis
a r
ecta
ng
le.
Pro
of:
M�
(�a,
b),
N�
(a,b
),P
�(a
,�b
),an
d Q
�(�
a,�
b).
slo
pe
of
M�N�
�� a
b �� (�
b a)�
or
0sl
op
e o
f Q�
P����
�ba�
�(�ab
)�
or
0
slo
pe
of
M�Q�
�� �
� ab �
� (�b a)
�o
r u
nd
efin
edsl
op
e o
f N�
P��
�ba�
�(�ab
)�
or
un
def
ined
M�N�
and
Q�P�
hav
e th
e sa
me
slo
pe.
M�Q�
and
N�P�
also
hav
e th
e sa
me
slo
pe.
M�N�
is p
erp
end
icu
lar
to M�
Q�.T
her
efo
re,b
oth
pai
rs o
f o
pp
osi
te s
ides
are
par
alle
l an
d c
on
secu
tive
sid
es a
re p
erp
end
icu
lar.
Th
is m
ean
s th
at M
NP
Qis
a r
ecta
ng
le.
xO
y B( 0
, 2b)
D( 0
, �2b
)PN
M Q
C( 2
a, 0
)
A( �
2a, 0
)
x
y
T( b
, 0)
W( ?
, c)
Y( ?
, ?)
S( a
, 0)
Ox
y
S( a
, ?)
R( ?
, ?)
P( b
, c)
T( 0
, 0)
O
x
y
E( 5
b, 0
)
F( 5
b, 2
b)G
( ?, ?
)
D( 0
, 0)
Ox
y
U( c
, 0)
C( ?
, ?)
D( 0
, a)
A( 0
, 0)
O
xO
y
B( b
� c
, 0)
B( b
, a)
C( c
, a)
A( 0
, 0)
xO
y
B( 2
a, 0
)
D( 0
, a)
C( 2
a, a
)
A( 0
, 0)
©G
lenc
oe/M
cGra
w-H
ill45
6G
lenc
oe G
eom
etry
Pos
itio
n a
nd
lab
el e
ach
qu
adri
late
ral
on t
he
coor
din
ate
pla
ne.
1.pa
rall
elog
ram
wit
h s
ide
len
gth
bu
nit
s 2.
isos
cele
s tr
apez
oid
wit
h h
eigh
t b
un
its,
and
hei
ght
au
nit
sba
ses
2c�
au
nit
s an
d 2c
�a
un
its
Nam
e th
e m
issi
ng
coor
din
ates
for
eac
h q
uad
rila
tera
l.
3.pa
rall
elog
ram
4.is
osce
les
trap
ezoi
d
K(2
b�
c,a)
,L(c
,a)
X(�
a,0)
,Y(�
b,c
)
Pos
itio
n a
nd
lab
el t
he
figu
re o
n t
he
coor
din
ate
pla
ne.
Th
en w
rite
a c
oord
inat
ep
roof
for
th
e fo
llow
ing.
5.T
he
oppo
site
sid
es o
f a
para
llel
ogra
m a
re c
ongr
uen
t.
Giv
en:
AB
CD
is a
par
alle
log
ram
.P
rove
:A�
B��
C�D�
,A�D�
�B�
C�P
roo
f:
AB
��
(a�
0�
)2�
(�
0 �
0�
)2 ��
�a
2 �o
r a
CD
��
[(a
��
b)
�b
�]2
�(
�c
�c
�)2 �
��
a2 �
or
a
AD
��
(b�
0�
)2�
(�
c�
0�
)2 ��
�b
2�
�c
2 �A
B�
�[(
a�
�b
) �
a�
]2�
(c�
�0)
2�
��
b2
��
c2 �
AB
�C
Dan
d A
D�
BC
,so
A�B�
�C�
D�an
d A�
D��
B�C�
6.TH
EATE
RA
sta
ge i
s in
th
e sh
ape
of a
tra
pezo
id.W
rite
a
coor
din
ate
proo
f to
pro
ve t
hat
T �R�
and
S�F�
are
para
llel
.
Giv
en:
T(1
0,0)
,R(2
0,0)
,S(3
0,25
),F
(0,2
5)P
rove
:T�R�
|| S�F�
Pro
of:
Th
e sl
op
e o
f T�R�
�� 20 0
� �0 10
��
� 10 0�an
d
the
slo
pe
of
SF
��2 35 0� �
2 05�
�� 30 0�
.Sin
ce T�
R�an
d
S�F�
bo
th h
ave
a sl
op
e o
f 0,
T�R�|| S�
F�.
x
y T( 1
0, 0
)
S( 3
0, 2
5)F
( 0, 2
5)
R( 2
0, 0
)O
xO
y
B( a
, 0)
D( b
, c)
C( a
� b
, c)
A( 0
, 0)
x
y
W( a
, 0)
Z( b
, c)
Y( ?
, ?)
X( ?
, ?)
Ox
y
J(2b
, 0)
K( ?
, a)
L(c,
?)
H( 0
, 0)
O
xO
y
B( a
� 2
c, 0
)
D( a
, b)
C( 2
c, b
)
A( 0
, 0)
xO
y
B( b
, 0)
D( c
, a)
C( b
� c
, a)
A( 0
, 0)P
ract
ice (
Ave
rag
e)
Co
ord
inat
e P
roo
f w
ith
Qu
adri
late
rals
NA
ME
____
____
____
____
____
____
____
____
____
____
____
__D
AT
E__
____
____
__P
ER
IOD
____
_
8-7
8-7
Answers (Lesson 8-7)
