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Worksheets

Congruent Polygons

Total questions: 25

Worksheet time: 34mins

Name
Class
Date
1.
What is congruency?  
a)
Same size and shape 
b)
Same size
c)
segment 
d)
congruent 
2.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
3.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

4.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
5.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
6.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
7.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

8.

Given  ΔABC  ΔDEF\Delta ABC\ \cong\ \Delta DEF , find the value of x.

a)

17

b)

18

c)

19

d)

20

9.
a)

A

b)

B

c)

C

d)

D

10.
a)

A

b)

B

c)

C

d)

D

11.

Given   DFGH  QRSTDFGH\ ≅\ QRST , If FG =12, DH = 15 and m∠T = 110°. Find the measure of QT, RS, and ∠ H.

a)

QT = 12 RS = 15 and m∠ H =110°

b)

QT = 15 RS = 12 and m∠ H =110°

c)

QT = 15 RS = 12 and m∠ H =70°

d)

QT = 12 RS = 15 and m∠ H =70°

12.

If ∆EHG≅∆KFC, then which statement is true?

a)

EH≅FC

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

13.

Which is the correct congruence statement for the figures shown.

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

14.

△DEF ≅ △QRS. What is the value of y?

a)

6.2

b)

8

c)

9

d)

7

15.

ABGH ≅ CDEF. What is the value of x?

a)

17.5

b)

25

c)

21.25

d)

46.25

16.

If the m<R is 34o and m<L is 81o, find the m<J.

a)

34o

b)

81o

c)

65o

d)

73o

17.

Polygon ABGH ≅ polygon CDEF. What is the m<G?

a)

90o

b)

75o

c)

105o

d)

62o

18.
What is the length of US?
a)
22
b)
17
c)
31
19.

Find the value of x.

a)

1

b)

2

c)

3

d)

4

20.
Given triangle ABC is congruent to triangle DEF, find the value of x.
a)
17
b)
18
c)
19
d)
20
21.
What does x equal?
a)
9
b)
11
c)
17
22.
x = 
a)
24
b)
40
c)
32
23.
FD = ≅
a)
IK
b)
KJ
c)
JI
d)
EF
24.

Angle Review: Identify the angle pair.

a)

adjacent angles

b)

complementary angles

c)

linear pair

d)

vertical angles

25.

Angle Review: Identify the angle pair.

a)

complementary angles

b)

linear pair

c)

supplementary

d)

vertical angles