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Triangle Congruence Review - Printable Math Worksheets year 8 - Wayground

Triangle Congruence Review

Jonathan Duncan

Created by Jonathan Duncan

20 questions

8th - 10th Grade

Math

Updated Oct 2026

Triangle Congruence Review is a mathematics worksheet for Grades 8–10 that builds fluency with identifying corresponding sides and angles and determining whether triangles are congruent. Across 20 questions—4 multiple-select and 16 multiple-choice—students match corresponding parts, use congruence statements to find unknown measures, and evaluate whether the information provided is sufficient. The worksheet also asks students to select or identify the appropriate SSS, SAS, ASA, AAS, or H-L theorem or postulate, complete missing reasons in a congruence proof, and distinguish valid conclusions from unsupported ones. Algebraic angle relationships and diagram-based reasoning reinforce accurate correspondence and proof selection. This free printable worksheet includes a complete answer key and is suitable for review, independent practice, or a formative check before a geometry assessment.

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Triangle Congruence Review

Total questions: 20

Name
Class
Date
1.
x= y= Choose 2 answers

x=

y=

Choose 2 answers

a)

7

b)

25

c)

6

d)

11

e)

18

2.
Question Image
a)

∠6 & ∠2

b)

∠5 & ∠6

c)

∠3 & ∠4

d)

∠5 & ∠8

e)

∠4 & ∠5

3.

If BCDE ≅ OPQR, then DE =

a)

PQ

b)

OR

c)

OP

d)

QR

4.
Question Image
a)

Reflexive Property, Given

b)

Transitive Property, Reflexive Property

c)

Given, Reflexive Property

d)

Reflexive Property, Transitive Property

5.
∠ABC≅ ?

∠ABC≅ ?

a)

∠PMN

b)

∠NPM

c)

∠NMP

d)

∠MNP

6.
The two triangles are congruent. Find the value of c . (Diagrams are not to scale.)

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

a)

4

b)

5

c)

3

d)

38

7.

Given: ∆ABC≅∆PQR, m∠B=3V+4, & m∠Q=8v-6. Find m∠B

[Hint: DRAW A PICTURE!]

a)

22

b)

11

c)

10

d)

2

8.
Question Image
a)

Symmetric Property of ≅ ; SSS

b)

Reflexive Property of ≅ ; SAS

c)

Reflexive Property of ≅ ; SSS

d)

Symmetric Property of ≅; SAS

9.
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

a)
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
b)
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
c)
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
d)
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
10.
State whether ∆ABC and ∆AED are congruent. Justify your answer.

State whether ∆ABC and ∆AED are congruent. Justify your answer.

a)

yes, by either SSS or SAS

b)

yes, by SSS only

c)

yes, by SAS only

d)

Not enough information to reach a conclusion.

e)

No, they are NOT congruent

11.

In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?

a)
In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?
b)
In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?
c)
In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?
d)
In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?
e)
In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?
12.
From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Explain.

From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Explain.

a)

yes, by ASA

b)

yes, by AAA

c)

yes, by AAS

d)

no

e)

Unsure

13.
Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?

Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?

a)

either ASA or AAS

b)

ASA only

c)

AAS only

d)

neither

14.
Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD.

Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD.

a)

SAS

b)

AAS

c)

ASA

d)

H-L

e)

none of these

15.
Supply the missing reasons to complete the proof. Given: ∠Q ≅ ∠T; QR ≅ TR

Supply the missing reasons to complete the proof.

Given: ∠Q ≅ ∠T; QR ≅ TR

a)

3. ASA

4.Substitution

b)

3. SAS

4. CPCTC

c)

3. AAS

4. CPCTC

d)

3. ASA

4. CPCTC

16.
For which situation could you prove ∆1≅ ∆2 using the H-L Theorem?

For which situation could you prove

∆1≅ ∆2 using the H-L Theorem?

a)

I only

b)

II only

c)

I & II

d)

I & III

e)

III only

17.

If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]

a)

MN = PR

b)

∠M ≅ ∠P

c)

NO = QR

d)

∠N ≅ ∠Q

18.
Question Image
a)

∠N

b)

∠P

c)

∠M

d)

None of these

19.
What else must you know to prove the triangles congruent by ASA? By SAS?

What else must you know to prove the triangles congruent by ASA? By SAS?

a)
What else must you know to prove the triangles congruent by ASA? By SAS?
b)
What else must you know to prove the triangles congruent by ASA? By SAS?
c)
What else must you know to prove the triangles congruent by ASA? By SAS?
d)
What else must you know to prove the triangles congruent by ASA? By SAS?
20.
Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

a)

∆CAB ≅ ∆DAC

b)

∆ACB ≅ ∆ACD

c)

∆ABC ≅ ∆ACD

d)

No, the triangles cannot be proven congruent.

WaygroundAnswer Key

Triangle Congruence Review

Total questions: 20

1.
d)

11

, c)

6

2.
a)

∠6 & ∠2

, e)

∠4 & ∠5

3.
d)

QR

4.
a)

Reflexive Property, Given

5.
d)

∠MNP

6.
c)

3

7.
c)

10

8.
c)

Reflexive Property of ≅ ; SSS

9.
c)
10.
d)

Not enough information to reach a conclusion.

11.
c) , d)
12.
c)

yes, by AAS

, a)

yes, by ASA

13.
c)

AAS only

14.
a)

SAS

15.
d)

3. ASA

4. CPCTC

16.
e)

III only

17.
a)

MN = PR

18.
a)

∠N

19.
c)
20.
b)

∆ACB ≅ ∆ACD

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FAQs

What does the Triangle Congruence Review worksheet cover?

This worksheet reviews how to match corresponding sides and angles, find unknown measures from congruent-triangle statements, and decide whether given information proves triangles congruent. Its 20 multiple-choice and multiple-select questions specifically require students to apply SSS, SAS, ASA, AAS, and H-L, complete proof steps, and recognize when the information is insufficient.

How can I use this worksheet to teach triangle congruence criteria?

Introduce the correspondence in a statement such as ∆ABC ≅ ∆PQR before students work on the items that match sides and angles or solve for their measures. Then have students classify the diagram-based questions by the information shown—SSS, SAS, ASA, AAS, or H-L—and explain why a tempting option such as AAA does not establish congruence. Finish by using the missing-reasons proof item to connect the selected criterion to a formal justification.

What mistakes should I watch for when students complete this triangle congruence worksheet?

Watch for students reading congruent-triangle letters in the wrong order, which leads them to pair sides or angles incorrectly and choose the wrong measure. Students may also treat three angles as enough for congruence, use ASA when the known parts support only AAS, overlook the right-triangle conditions required for H-L, or claim congruence when the diagram does not provide enough information. In the algebraic items, check that they set corresponding angle measures equal before solving.

How do I assign and grade this Triangle Congruence Review worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking the multiple-choice, multiple-select, and proof-related responses. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How does this worksheet help students move from identifying congruence to proving it?

The review progresses beyond matching corresponding parts by asking students to choose the missing information for SAS or ASA, identify valid ways to prove a pair congruent, and complete reasons such as ASA and CPCTC in a proof. These tasks help students justify a congruence conclusion from specific evidence rather than relying only on visual similarity or the appearance of the diagrams.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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