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cpctc

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠ACB?

a)

45o

b)

55o

c)

80o

d)

100o

2.

△BAC ≅ △QPR. If BC = 15, AB = 9, AC = 12, what is RQ?

a)

9

b)

12

c)

15

d)

36

3.

If BC = 17 , CD = 25 , and BD = 14 , what is YZ?

a)

YZ = 14

b)

YZ = 25

c)

YZ = 17

d)

YZ cannot be determined.

4.

If EG = 37 , GF = 30 , and FE = 25 , what is KI?

a)

KI = 50

b)

KI = 37

c)

KI = 30

d)

KI = 25

5.

△GFE ≅ △JKI

If ∠F = 81° , ∠E = 57° and ∠G = 42° , what is ∠K ?

a)

∠K = 42°

b)

∠K = 81°

c)

∠K = 57°

d)

∠K = 180°

6.

Solve for xx given ∆ABC≅∆MNO∆ABC≅∆MNO , AC=34AC=34 , AB=14−xAB=14-x , and MO=3x−2MO=3x-2 . Hint.... sketch a picture.

a)

12

b)

-20

c)

4

d)

34

7.

Given that ΔPQR ≅ Δ LJK,  PR=2x+6, JL= 10 units,  LK= 3x-6, find the measure of side PQ.  Hint... sketch and label a picture.

a)
12
b)
10
c)
2
d)
30
8.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

9.

Given △EAD ≅ △CAB, find the value of x.

a)

68

b)

37

c)

108

10.

What values for x and y make ΔCAT ≅ ΔDOG?

a)

x = 6, y = 7

b)

x = 6, y = 12.9

c)

x = 7, y = 7

d)

x = 7, y = 12.9