Congruence

Congruence

8th - 10th Grade

15 Qs

quiz-placeholder

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Congruence

Congruence

Assessment

Quiz

Mathematics

8th - 10th Grade

Practice Problem

Medium

CCSS
HSG.SRT.B.5, HSG.CO.B.7, 4.G.A.1

+4

Standards-aligned

Created by

Debra Hale

Used 344+ times

FREE Resource

About this resource

This quiz focuses on triangle congruence, a fundamental topic in geometry that belongs in the high school curriculum, specifically at the 9th or 10th grade level. Students working through these problems need to master the five standard congruence postulates and theorems: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and the invalid SSA condition. The questions require students to analyze given information about triangles, identify which sides and angles correspond between congruent triangles, and apply the correct congruence rule to justify their conclusions. Students must also understand congruence notation and statements, recognize that SSA is not a valid test for congruence, and work with corresponding parts of congruent triangles (CPCTC). The quiz demands both conceptual understanding of what makes triangles congruent and procedural skills in applying these rules to specific geometric situations. Created by Debra Hale, a Mathematics teacher in US who teaches grade 8 and 10. This assessment serves multiple instructional purposes in the geometry classroom, functioning effectively as a formative assessment tool to gauge student understanding before moving to more complex proof-writing activities. The quiz works well as a review session before a unit test, homework practice to reinforce concepts taught in class, or a warm-up activity to activate prior knowledge at the beginning of a lesson on geometric proofs. Students benefit from the variety of question formats that require them to identify congruence rules, complete congruence statements, and determine corresponding parts of congruent figures. This quiz aligns with Common Core State Standards CCSS.MATH.CONTENT.HSG.CO.B.7, which requires students to use the definition of congruence in terms of rigid motions to show that two triangles are congruent, and CCSS.MATH.CONTENT.HSG.CO.B.8, which focuses on explaining how the criteria for triangle congruence follow from the definition of congruence in terms of rigid motions.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which is NOT a test to prove triangles congruent?

SAA
SSS
SSA
SAS

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Complete the congruence statement.

CRP
PCR
RPC
PRC

Tags

CCSS.HSG.CO.B.7

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which segment is congruent to EF? 

HG
HF
GF
IE

Tags

CCSS.HSG.CO.B.7

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Use the congruency statement to answer the following: 
<F = ___

<H
<I
<G
not congruent to another angle

Tags

CCSS.HSG.CO.B.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

Yes by ASA
Yes by AAS
Yes by SSA
Not congruent

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

AAA
AAS
ASA
Not necessarily congruent

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

SSA
AAS
ASA
Not necessarily congruent

Tags

CCSS.HSG.SRT.B.5

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