Free Printable Proving Triangles Congruent

1.

How do you know the following statement is true?

\angle A\cong\angle C

a)

Third Angle Theorem

b)

Corresponding Angles Theorem

c)

Alternate Interior Angles Theorem

d)

Vertical Angle Theorem

2.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

3.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

4.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

5.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

6.

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

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

7.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

8.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

9.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

10.

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

no, not enough information

11.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

SSS

12.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

13.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

14.

∆ABC≅∆XYZ

which is true?

a)

AB≅XY

b)

AB≅YZ

c)

AB≅XZ

d)

BC≅AB

15.

∆EHG≅∆KFC

Which is a true statement?

a)

EH≅FC

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

16.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

17.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

18.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

$\Delta\ ABC\ \cong\ \Delta DFE$

d)

$\Delta ABC\ \cong\Delta\ DEF$

19.

$\angle AXB\cong\angle CXD$ How do you know the following is true?

a)

Corresponding Angle Theorem

b)

Alternate Interior Angle Theorem

c)

Vertical Angle Theorem

d)

Third Angle Theorem

20.

How do you know the following is true?
$\Delta ABX\cong\Delta CDX$

a)

SAS

b)

AAS

c)

ASA

d)

SSA

21.

Solve for x & y.

Enter your answer as x, y

Example: If x=5 and y=7, type 5, 7

(a)

22.

$\Delta ABD\cong\Delta CDB$

Solve for x.

(Just type the number.)

(a)

23.

a)

1. Given, 3. Correp < Post, 4.Point A is the midpoint of ZC, Def of midpoint, 5. $\overline{AZ}\cong\overline{AC}$ , Def of $\cong$

b)

1. Given, 3. Vert < Thm, 4. $\Delta YZA\cong\Delta BCA$ , ASA, 5. $\overline{AZ}\cong\overline{AC}$ , CPCTC

c)

1. Given, 3. Vert <Thm, 4. $\Delta YZA\cong\Delta BCA$ , AAS, 5. $\overline{AZ}\cong\overline{AC}$ , CPCTC

d)

1. Given, 3. Corres. < Post, 4. $\Delta YZA\cong\Delta BCA$ , ASA, 5. $\overline{AZ}\cong\overline{AC}$ , CPCTC

Proving Triangles Congruent

Total questions: 23

Worksheet time: 26mins

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