Free Printable 4.1/4.2 Angles in Triangles/Congruent Triangles

1.

Use the Exterior Angle Theorem to find the value of x.

a)

117

b)

94

c)

149

d)

31

2.

Find the value of x.

a)

x = 27

b)

x = 53

c)

x = 49

d)

x = -16

3.

Find the measure of $\angle\ B$

a)

30

b)

45

c)

60

d)

90

4.

Given the two triangles, which statement is true by CPCTC?

a)

$\angle ACB\ \cong\ \angle\ DFE$

b)

$\angle\ BAC\ \cong\ \angle\ FDE$

c)

$\angle CAB\ \cong\angle FED$

d)

$\angle ABC\ \cong\ \angle\ DEF$

5.

Use the Third Angles Theorem to find the value of x.

a)

x = 60

b)

x = 55

c)

x = 15

d)

x = 65

6.

Solve for x.

a)

x = 10

b)

x = 4

c)

x = 5

d)

x = 39

7.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

8.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

9.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

10.

A triangle has one angle that measures 75° and one angle that measures 19°. What is the measure of the third angle?

a)

86°

b)

94°

c)

105°

d)

161°

11.

Solve for x.

a)

44^o

b)

^-14o

c)

-7^o

d)

63^o

12.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

13.

Solve for x.

a)

16

b)

11

c)

50

d)

6

14.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

15.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

16.

Solve for x.

a)

6

b)

-10

c)

7

d)

-9

17.

Find the measure of each angle indicated.

a)

22

b)

25

c)

29

d)

55

18.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

19.

What is the measure of angle x?

a)

45

b)

60

c)

65

d)

75

20.

Solve for x.

a)

34

b)

9

c)

109

d)

7

21.

Solve for x.

a)

6

b)

8

c)

15

d)

13

22.

Solve for x.

a)

13

b)

8

c)

11

d)

4

23.

Does a triangle with these side lengths exist?

20, 10, 9

a)

Yes, only one

b)

No

c)

Yes, many

24.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

25.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

26.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

27.

Solve for x.

a)

1

b)

2

c)

3

d)

4

28.

Which statement indicates that the triangles in each pair are congruent.

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

29.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

30.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

31.

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

a)

40^o

b)

50^o

c)

90^o

d)

45^o

32.

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

a)

45^o

b)

55^o

c)

80^o

d)

100^o

33.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

34.

What is the measure of angle A in the triangle?

a)

116*

b)

25*

c)

62*

d)

54*

35.

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

a)

12

b)

10

c)

2

d)

30

36.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

37.

a)

A

b)

B

c)

C

d)

D

38.

In congruent triangles, corresponding parts are always ______.

a)

opposite

b)

equal

c)

equilateral

d)

acute

39.

If ΔDEF ≅ ΔRST, then we can conclude that ∠T ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

EF

40.

If ΔDEF ≅ ΔRST, then we can conclude that ∠S ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

DE

41.

ΔEDF ≅ Δ____

a)

ABC

b)

CAB

c)

BAC

42.

ΔXYZ ≅ Δ ____

a)

CAB

b)

BAC

c)

ABC

43.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

44.

This symbol means congruent

a)

≅

b)

≠

c)

∠

d)

Δ

45.

I indicate an angle using this symbol

a)

≅

b)

Δ

c)

∠

d)

Λ

46.

Congruent sides have the same number of ______

a)

arcs

b)

slash marks

c)

dots

47.

Shapes that are the same shape and the same size are ________.

a)

similar

b)

unique

c)

congruent

d)

corresponding

4.1/4.2 Angles in Triangles/Congruent Triangles

Total questions: 47

Worksheet time: 2hrs 9mins

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