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CPCTC & Algebra Practice

Total questions: 11

Worksheet time: 33mins

Name
Class
Date
1.

△ABC ≅ △DFE.


What angle in △DFE is congruent to ∠B?

a)

∠D

b)

∠F

c)

∠E

d)

∠A

e)

∠C

2.

Given that ΔDGK ≅ ΔSMO, then DK ≅ _________?

a)

SO

b)

MO

c)

SM

d)

MS

3.

Which is the correct congruency statement based on the diagram?

a)

△ABC ≅ △FED

b)

△EFD ≅ △CBA

c)

△BCA ≅ △EFD

d)

△DFE ≅ △ABC

4.

If △EFI ≅ △GFH, then what is the measure of ∠H?

a)

1

b)

5

c)

43.5

d)

18

5.

If △PQR ≅ △WTR, what is the measure of ∠T?

a)

40

b)

85

c)

55

d)

65

6.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

7.

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

a)

68

b)

37

c)

108

8.

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

9.

If △ACD ≅ △CAB, what is the measure of ∠B?

a)

13

b)

33

c)

29

d)

9

10.

△MKP ≅ △TFH


If MP = 5x + 3, KP = 6, TF = 13, TH = 18, and FH = 23, then what is the value of x?

a)

3

b)

3/5

c)

2

d)

4

11.

ΔCOW ≅ ΔPIG


If CO = 25, CW = 18, IG = 23, and PG = 7x - 17, find the value of x.

a)

5

b)

5.7

c)

6

d)

18