Free Printable Proving Triangles Congruent

1.

If ∆LMK ≅ ∆LNT, then
$\angle K\cong$ (a) $\overline{LM}\cong$ (b)

$\angle L\ \cong$ (c) $\overline{MK}\cong$ (d)

$\angle M\cong$ (e)

Choose from the below words

$\angle L$

$\angle N$

$\angle T$

$\overline{LN}$

$\overline{NT}$

\overline{LT}

2.

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

a)

∆LMK ≅ ∆LMT

b)

∆LMK ≅ ∆TMK

c)

∆LTKM ≅ ∆LMT

d)

∆TMK ≅ ∆TLK

3.

Remember order matters. Which of the following is true?

a)

∆JLK ≅ ∆XWJ

b)

∆LJK ≅ ∆JWX

c)

∆JKL ≅ ∆JXW

d)

∆LKJ ≅ ∆JXW

4.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

5.

State if the triangles are congruent and why.

a)

Not congruent

b)

SAS

c)

ASA

d)

HL

6.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

Not congruent

7.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

SSS

8.

State if the triangles are congruent and why.

a)

AAS

b)

ASA

c)

Not congruent

d)

SSS

9.

State if the triangles are congruent and why.

a)

ASA

b)

AAS

c)

SAS

d)

Not congruent

10.

State if the triangles are congruent and why.

a)

SAS

b)

AAS

c)

ASA

d)

Not congruent

11.

State if the triangles are congruent and why.

a)

HL

b)

SAS

c)

Not congruent

d)

AAS

12.

Which option does not work to prove triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

SSA

13.

Fill in the missing proofs.

a)

Reflexive Property

b)

SAS(Side-Angle-Side)

c)

Vertical Angles Theorem

d)

Transitive Property

e)

SSS(Side-Side-Side)

14.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

15.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

16.

What is the reason for Step #2? (a)

What is the statement for Step #3? (b)

What is the reason for Step #4? (c)

What is the reason for Step #5? (d)

What is the statement for Step #6? (e)

Choose from the below words

AB≅CD

Alternate Interior Angles Theorem

$\angle B\cong\angle D$

Reflexive Property

AAS

ASA

\angle BCD\cong\angle BAD

Corresponding Angles

Symmetric Property

$\overline{BC}\cong\overline{DA}$

17.

What is the statement for Step #3? (a)

What is the statement for Step #4? (b)

What is the statement for Step #5? (c)

What is the reason for Step #5? (d)

Choose from the below words

Proof

$\overline{AH}\cong\overline{AH}$

\Delta AMH\cong\Delta ATH

$\overline{HM}\cong\overline{AT}$

CPCTC Theorem

18.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

19.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

20.

When using hypotenuse leg (HL) in a proof, you must prove that......

Choose all that apply.

a)

The hypotenuses are congruent

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

e)

a pair of legs are congruent.

21.

What is the reason for Step #2 (a)

What is the statement for Step #3? (b)

What is the reason for Step #4? (c)

Choose from the below words

Given

$\angle AED\cong\angle CEB$

ASA

\angle DAE\cong\angle ECB

AAS

22.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

23.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

24.

Solve for x.

a)

8

b)

9

c)

13

d)

15

25.

Solve for x.

a)

A

b)

B

c)

C

d)

D

26.

What is the measure of angle x?

a)

70

b)

160

c)

135

d)

20

27.

Solve for x.

(a)

28.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

29.

∆ABC≅∆XYZ

which is true?

a)

AB≅XY

b)

BC≅CB

c)

AB≅YX

d)

AB≅XZ

30.

The triangles are congruent by SSS postulate. Finish the congruence statement:

\Delta DOG\cong\Delta_{ }

(a)

31.

After proving the triangles are congruent by HL Theorem, which statements are true for CPCTC?

a)

$\angle X\cong\angle V$

b)

$\angle U\cong\angle X$

c)

$XW\cong VW$

d)

$\angle XUW\cong\angle UWV$

32.

Which congruence postulate you would use to prove each pair of triangles congruent?

a)

1.

SAS

b)

2.

ASA

c)

3.

SAS

d)

4.

Cannot be proven congruent

Proving Triangles Congruent - Quiz Review

Total questions: 32

Worksheet time: 36mins

Similar Resources on Wayground