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Honors Geometry Chapter 5 Practice Problems
Baroody Page 1 of 15
1.
Draw the Quadrilateral Family Venn Diagram with all the associated definitions and properties.
Honors Geometry Chapter 5 Practice Problems
Baroody Page 2 of 15
2.
3.
Write 5 ways to prove that a quadrilateral is a parallelogram:
Rectangle that is not a RhombusRhombus that is not a Rectangle
1.
2.
3.
4.
5.
Name 5 properties of a rectangle that is not a rhombus and the corresponding propertiesof a rhombus that is not a rectangle:
Honors Geometry Chapter 5 Practice Problems
Baroody Page 3 of 15
4.
5.
Diagonals bisect each other and bisect the ∠s
Diagonals are ⊥ and ≅ and bisect each other
Consecutive ∠s measure 30°, 150°, 110°, 70°
Consecutive sides measure 15, 18, 18, 15
Consecutive sides measure 15, 18, 15, 181.
2.
3.
4.
5.
Give the best name for a quadrilateral whose:
If 2 ∠s of a trapezoid are ≅, the trapezoid is isosceles.
If a parallelogram is equilateral, it is equiangular.
If the diagonals of a quadrilateral divide each ∠ such that each halfmeasures 45°, the quadrilateral is a square.
If the diagonals of a quadrilateral are ≅, it is an isosceles trapezoid.1.
2.
3.
4.
Answer Sometimes, Always, or Never
Honors Geometry Chapter 5 Practice Problems
Baroody Page 4 of 15
6.
7.
x+24
2x+6
ABCD is a parallelogram. Find the measure of ∠C.
DA
B C
x
x+6
ABCD is a rectangle. The area is 160 u2. Find the perimeter.
C
A
D
B
Honors Geometry Chapter 5 Practice Problems
Baroody Page 5 of 15
8.
9.
OSP is isosceles
ONR PS
Prove:
Given:
Statements ReasonsS
N
O
P
R
∠A supp. ∠B
∠C supp. ∠D
Prove:
Given:
Statements Reasons
A
B
D
C
Honors Geometry Chapter 5 Practice Problems
Baroody Page 6 of 15
10.
11.
YZ bisects ∠AYB
CY ≅ AYYZ CA
Prove:
Given:
Statements Reasons
Z
C
A
Y
B
Given:
Prove:
ODC AB
AD ≅ BC
Statements Reasons
C
BOA
D
Honors Geometry Chapter 5 Practice Problems
Baroody Page 7 of 15
12.
13.
Given:
Prove:
ABCD is an isoscelestrapezoid with legs AD & BC
DPC & APB are isosceles
Statements Reasons
P
C
A B
D
Given:
Prove:
ABCD is a BE ≅ DF
AC bisects EF
Statements Reasons
G
F
CB
A D
E
Honors Geometry Chapter 5 Practice Problems
Baroody Page 8 of 15
14.
15.
Given:
Prove:
ABCD is a ∠GHA ≅ ∠FECHB ≅ DE
GH ≅ EF
Statements Reasons
F
E
BA
D C
H
G
Given:
Prove:
ID bisects BRBI ≅ IR
BIRD is a kite
Statements Reasons
K
D
I
B R
Honors Geometry Chapter 5 Practice Problems
Baroody Page 9 of 15
16.
17.
Given:
Prove:
YTWX is a parallelogramYP ⊥ TWZW ⊥ TYTP ≅ TZ
YTWX is a rhombus
Statements Reasons
Z
P W
Y
T
X
Given:
Prove:
ACDF is a ∠AFB ≅ ∠ECD
FBCE is a
Statements Reasons
E
CA
F D
B
Honors Geometry Chapter 5 Practice Problems
Baroody Page 10 of 15
18.
19.
Given:
Prove:
ABCD is a AB ⊥ BC
DEC is isosceles
Statements Reasons
E
C
A
B
D
Given:
Prove:
AED & BEC are isosceles with≅ bases AD & BC, respectively
ABCD is a rectangle
Statements Reasons
E
C
A
B
D
Honors Geometry Chapter 5 Practice Problems
Baroody Page 11 of 15
20.
21.
Prove that the quadrilateral formed by connecting the midpoints of the sides of a is a .
Statements Reasons
Given:
Prove:
TWX is isosceles with base WXRY WX
RWXY is an isoscelestrapezoid
Statements Reasons
Y
T
W X
R
Honors Geometry Chapter 5 Practice Problems
Baroody Page 12 of 15
22.
Given:
Prove:
EFGH is a AE ≅ BF ≅ CG ≅ DH
ABCD is a
Statements Reasons
D
CB
GE
F
HA
Honors Geometry Chapter 5 Practice Problems
Baroody Page 13 of 15
23.
Given:
Prove:
RSOT is a parallelogramMS ≅ TP
MOPR is a parallelogram
Statements Reasons
P
O
R
S
T
M
Honors Geometry Chapter 5 Practice Problems
Baroody Page 14 of 15
24.
Given:
Prove:
PQRS is a A is the midpoint of QR
PA bisects ∠QPS
SA bisects ∠PSR
Statements ReasonsS
RAQ
P
Honors Geometry Chapter 5 Practice Problems
Baroody Page 15 of 15
25.
Given:
Prove:
KOR is equilateralKOPR is a KMOR is a
JMP is equilateral
Statements Reasons
P
J
M O
K R
