Free Printable IM Geo Unit 2 - L9 -Triangle Congruence Theorems

1.

State if the two triangles are congruent. If they are, state how you know.

a)

Side-Side-Side

b)

NOT Congruent

c)

Side-Angle-Side

d)

Angle-Side-Angle

2.

State if the two triangles are congruent. If they are, state how you know.

a)

Side-Angle-Side

b)

Side-Side-Side

c)

Angle-Side-Angle

d)

NOT congruent

3.

State if the two triangles are congruent. If they are, state how you know.

a)

Side-Side-Side

b)

NOT Congruent

c)

Angle-Side-Angle

d)

Side-Angle-Side

4.

State if the two triangles are congruent. If they are, state how you know.

a)

Side-Side-Side

b)

NOT Congruent

c)

Angle-Side-Angle

d)

Side-Angle-Side

5.

State if the two triangles are congruent. If they are, state how you know.

a)

Side-Side-Side

b)

Angle-Side-Angle

c)

NOT Congruent

d)

Side-Angle-Side

6.

What additional information is required for the 2 triangles to be congruent by Angle-Side-Angle triangle congruence theorem?

a)

A

b)

B

c)

C

d)

D

7.

What additional information is required for the 2 triangles to be congruent by Side-Side-Side triangle congruence theorem?

a)

A

b)

B

c)

C

d)

D

8.

What additional information is required for the 2 triangles to be congruent by Side-Angle-Side triangle congruence theorem?

a)

A

b)

B

c)

C

d)

D

9.

Are the triangles congruent, if yes, why?

a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

NOT Congruent

10.

Are the triangles congruent, if yes, why?

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

NOT Congruent

11.

State if the two triangles are congruent. If they are, state how you know.

a)

Side-Side-Side

b)

NOT Congruent

c)

Side-Angle-Side

d)

Angle-Side-Angle

12.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

NOT Congruent

b)

Side-Side-Side

c)

Side-Angle-Side

d)

Angle-Side-Angle

13.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

NOT Congruent

14.

Name the postulate, if possible, that makes the triangles congruent.

a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

NOT Congruent

15.

If DA bisects IE, then

a)

$\overline{ID}\ \cong\ \overline{ED}$

b)

$\overline{IA}\ \cong\ \overline{EA}$

c)

$\angle IDA\ \cong\ \angle EDA$

d)

$\angle IAD\ and\ \angle EAD$ are right angles

16.

Pick the correct congruent segment

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

17.

Can the triangles be proven congruent? If so, how?

a)

Angle-Side-Angle

b)

Side-Side-Side

c)

Side-Angle-Side

d)

Cannot be proven congruent

18.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

Not necessarily congruent

19.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

20.

a)

$\angle ADB\ \cong\angle CDB$

b)

$\angle A\ \cong\angle C$

c)

$\angle ADB\cong\angle CDB$ are right angles

d)

$\angle ABC\cong\angle CBD$

21.

a)

$\angle BAC\cong\angle DAC$

b)

$\angle B\cong\angle D$

c)

$\angle BAD\cong\angle BCD$

d)

$CB\cong CD$

22.

What is the correct choice for Reason 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

23.

Congruent figures...

a)

Have the same dimensions (side lengths and angle measures)

b)

Are the same shape and size

c)

Can be mapped onto one another using rigid motions

d)

All of the above

24.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

Side-Side-Side

b)

Angle-Angle-Angle

c)

Angle-Side-Angle

d)

Side-Side-Angle

25.

How would you name the triangle that is congruent to triangle XYZ?

a)

Triangle WXZ

b)

Triangle ZWX

c)

Triangle XWZ

d)

Triangle XZW

26.

How would you name the triangle congruent to triangle ABC?

a)

Triangle FMN

b)

Triangle NMF

c)

Triangle MNF

d)

Triangle MFN

27.

Which Triangle Congruence Theorem you can use to prove that the triangles are congruent

a)

Angle-Side-Angle

b)

Side-Angle-Side

c)

Side-Side-Side

d)

NOT Congruent

28.

Which Triangle Congruence Theorem you can use to prove that the triangles are congruent

a)

Side-Angle-Side

b)

NOT Congruent

c)

Angle-Side-Angle

d)

Side-Side-Side

29.

Which Triangle Congruence Theorem you can use to prove that the triangles are congruent

a)

Side-Angle-Side

b)

NOT Congruent

c)

Angle-Side-Angle

d)

Side-Side-Side

30.

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

a)

two base angles are congruent

b)

the third side is congruent

c)

three angles are congruent

d)

no other relationships exist

31.

what is almost always the first reason in a proof?

a)

given

b)

reflexive

c)

definition of bisector

d)

CPCTC

32.

Which of these is the given for this theorem?

a)

$\Delta ABC$ is isosceles with base $\overline{AB}$

b)

$\angle A\ \cong\ \angle B$

c)

draw a midpoint on $\overline{AB}$ to get two congruent angles

33.

If $\overline{AB}$ is the base of the isosceles triangle $\Delta ABC$ , which two sides are congruent?

a)

$\overline{AB}\ \cong\ \overline{AC}$

b)

$\overline{AB}\ \cong\ \overline{BC}$

c)

$\overline{AC}\ \cong\ \overline{BC}$

34.

We need to add an auxiliary line to divide $\Delta ABC$ into two congruent triangles. Which statement will do that?

a)

Let D be the midpoint of $\overline{AB}$

b)

Let D be the midpoint of $\overline{BC}$

c)

Let D be the midpoint of $\overline{AC}$

35.

What are the two congruent segments formed by the midpoint D?

a)

$\overline{AD}\ \cong\ \overline{BD}$

b)

$\overline{AC}\ \cong\ \overline{BC}$

c)

$\overline{CD}\ \cong\ \overline{CD}$

d)

$\overline{AB}\ \cong\ \overline{CD}$

36.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle GEQ\cong\angle NEW$ Vertical angles

b)

$\overline{WN}\cong\overline{GQ}$ ; Prove

c)

$\angle G\cong\angle N$ ; Alternate Interior angles

d)

$\angle W\cong\angle Q$ ; Alternate Interior angles

37.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

38.

What is Reason C?

a)

Side-Side-Side triangle congruence theorem

b)

Side-Angle-Side triangle congruence theorem

c)

Angle-Side-Angle triangle congruence theorem

d)

Angle-Angle-Side triangle congruence theorem

39.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

40.

What is statement #2?

a)

∠ABC≅∠EDC

b)

∠BCA≅∠DCE

c)

BC≅CD

d)

∠E≅∠A

41.

What is reason #3?

a)

Side-Angle-Side triangle congruence theorem

b)

Angle-Side-Angle triangle congruence theorem

c)

Side-Angle-Side

d)

Angle-Side-Angle

42.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

Side-Angle-Side

b)

NOT Congruent

c)

Angle-Side-Angle

d)

Side-Side-Side

43.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

44.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

45.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

IM Geo Unit 2 - L9 -Triangle Congruence Theorems

Total questions: 45

Worksheet time: 47mins

Similar Resources on Wayground