Geometry Name: _ Test #7 Extra Quadrilateral Practice November 2012

In Exercises 1-7, ABCD is a parallelogram. "* '(CJ\A., ~ wc.....lA-t to n:.-clvc;u.J Y <>i­ f.p 10 ~ Ii Ju. p"--'("'--lld~

1. Perimeter ABCD = 2. AO = 11, and BO = 7. 3. Perimeter ABCD = 46.

D 26 em c AC = __, BD = __ AB = __,BC= __

cI5~ \.A

A

#.*A. a = , b = __, S. Perimeter ABeD = 16x - 12. 6. a = __, b = __,

c= 'AD= c=

c Dr-----7--. c

_ /4X+3/ AIC----.L-----=:..L-~BAL.---6-3--~B

AL----- B

1. In each exercise decide whether the given information permits you to deduce thaI Quad. REST is a parallelogram. If your answer is yes. state the definition

or theorem tbal applies.

0.. TM~£M

b. TS II RE: TS ~ RE ~ R E T SC. TS II R£: TR II S£

Given CJQSTU: CJQRWV Prove: L'T ~ L' W

"* YCIIA.. ~ <..AkL ~ )O..-v p-ut'C"s.. Find (he values of (he specified variables. Llch quadrilaleral IS a [)ar;illelogram.

0 II. 10. Woo86 "

. Y

Jx"

x=- y=_. y=­

G

11. Find each lettered angle measure.

~:: e.=- I.~

Do: r= J" c'=' 5:: k:; d :=. h=

h

b B c

13 PQRS is a: rectangle and tI..{ . KLMN is a square and IS;.ABCD is a rhombus,

OS = 16. NM= 8. AD = 11, and DO = 6.

OQ= __ mLOKL = __ OB =

mLQRS= __ mLMOL = __ BC =

SQ= __ Perimeter KLMN = _ . mLAOD =

Ir-----;:Fc

A=-----":

l/.ii.. Perimeter PQRS = 220. PS = __

S 4,X + 1 R

p

In Exercises /1-J,/" match each description with all the terms that fit it.

a. Trapezoid b. Isosceles triangle c. Parallelogram d. Rhombus

f. Rectangle g. Square h. All quadrilaterals

I?s'. __ Diagonals bisect each other. .;23 • Diagonals are perpendicular.

1'1 • __ Diagonals are congruent. /)4 • __ Measures of interior angles sum to 360°.

).0', __ Opposite sides are congruent. ;).~. Opposite angles are congruent.

;l , . __ Both diagonals bisect angles. Q.tJ;. __ Diagonals are perpendicular bisectors of each other.

.?~. __ Has exactly one pair of congruent sides.

,;)f). Perimeter = 116. x = __ c9-~. x = , y = _

11. Given: Rhombus ABeD

Prove: 1..1 and L2 are complements.

t=xplq\r1 In e-. pa.ra.3ro..f>l,.

;l.q x= __,y= __ 3D. x= __,y= __

22°

y

Name: _Geometry 11/1' 'r'est #7 Extra Quadrilateral Practice November 2012IT)

In Exercises 1-7, ABCD is a parallelogram.

1. Perimeter ABCD = g~ 2. AO = 11, and BO = 7. 3. Perimeter ABCD = 46.

A

l . or theorem that applies.

4. TM ~ EM NO

b. Tsli RE: TS~ RE

C. TsIIRE: TRlIsE S

OQSTU; OQRWV ~ ~W

D 26 em C AC = ;).;)-., BD = ~ AB = ~, BC = --L 3 K 1"-) -;..;l.315~ i J:8lCA .)~ B 3><.:::.;11

X ::: IJ A B

4. a = 5 J " b = ~, 5. Perimeter ABCD = 16x - 12. 6. a = ~ )', b = ~. ,

nO'c = '1

T

Given: Prove: ~T

I ~ ~ -t- 8"~ t Co ::: I ~ y: - {~ I •

I Lf l{ ::. <is' J<.

I'D ~ X

AD = r"]<:;>

in each exercise decide whether the given information permits you 10 deduce thaI quad. REST is a parallelogram. If your answer is yes, slate the definition

Find the values of {he specified variables. Each quadrilateral is a rar;illclogram.U;>' lItO ( .( ::: X. 1),11

l:l(" =- 3x -sq 0 1I. 41' d.LQ.:;{LLJq. ~o26 10. 2J70 86'

2 Y"=5~ L.. T;;:.Q~ 6 .... 'i :: ;to ]x'

3· ?- t'? L

31<+-4. +- s" ..... Ilt ':. r<j)

<is'X=llqOX:::'oU

G

12. Find each lettered angle measure.

0..= scr e. ::. l~~' \." w( b-: ll.!:l' f:: 3t J= r /'e. ~ 1L.1 ~'

~= 5)' R-~I ot ==3i' :. I J.'

l. 6. 'LlJ(.n

:l, .I-F peu-~l(­

ef~1 ~ o-fPLS';-.

31y~st(L1'

13 .PQRS is a: rectangle and iS;.ABCD is a rhombus, OS = 16. AD = 11. and DO = 6.

OQ = )LP OB=~

BC = ,\mLQRS=~'

SQ = 3;)" . mLAOD = erO ~

;,-__--;;,c

A""------":

IVi., Perimeter PQRS = 220. PS = .3.3 1'1. Given: Rhombus ABeD

I~ ~ .\- Lj -;:. d- ;}D Prove: L 1 and L2 are complements.

/~x ~~,.'2\\tJ t=xplcUtl ;0 c.. f'a."'~.Jr-a..fh .. X :=- 1'6 ~~~~

I. _. \. ' .".L L- '1 ~ ew Sor~U--O l.)oJ~ )

:;).T......,.L-~ ctCiD s-o YY\ t- I t- VV' L

VVtLIt-VV\L-~t-qD-=:'IW S,D,In Exercises 1~-d.(P, match each description with all the terms that fit it.

VIALl t-~L.:;;L-':"cz.O

a. Trapezoid b. Isosceles triangle c. Parallelogram d. Rhombus Su ~

f. Rectangle g. Square h. All quadrilaterals ~~ 1<6. e-A1t-lpiagonals bisect each other. .;23. ~ Diagonals are perpendicular.

ICf .4 Diagonals are congruent. .Qt..!. h.- Measures of interior angles sum to 360°.

C-tc\.I~\1 c,~ ,f, 4 . )0'. __ Opposite sides are congruent. ;;25"'. ) OpposIte angles are congruent.

,;l i ' -i.tL Both diagonals bisect angles. Q&. ~ Diagonals are perpendicular . ) bisectors of each other.

d-~' ~ Has exactly one pair of congruent sides.

/1­

.-,f). Perimeter = 116. x = '3 D x {~~, y = S~·<9-'6.; =

~~

~ 30. x = I'd-, y = K