Triangle Postulates

Triangle Postulates

9th - 12th Grade

20 Qs

quiz-placeholder

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Triangle Postulates

Triangle Postulates

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSG.SRT.B.5, HSG.CO.B.7, 8.G.A.5

+3

Standards-aligned

Created by

Sylvia Paredes

Used 1K+ times

FREE Resource

About this resource

This quiz focuses on triangle congruence postulates and theorems, specifically targeting high school geometry concepts appropriate for grades 9-10. Students must demonstrate mastery of the five valid triangle congruence criteria: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles). The questions require students to analyze given triangle diagrams and determine which postulate proves congruence, write proper congruence statements with corresponding vertices in correct order, and apply CPCTC (Corresponding Parts of Congruent Triangles are Congruent) reasoning. Students need solid understanding of triangle angle sum properties, the ability to distinguish between included and non-included sides and angles, and recognition of invalid congruence attempts like SSA and AAA. The quiz also incorporates basic angle measurement skills and connects geometric transformations to congruence proofs. Created by Sylvia Paredes, a Mathematics teacher in the US who teaches grades 9-12. This assessment serves as an excellent formative evaluation tool for students working through their first formal introduction to geometric proof concepts. Teachers can deploy this quiz as a warm-up activity to gauge student readiness before launching into two-column proofs, or as homework practice to reinforce lesson concepts after initial instruction on triangle congruence. The varied question formats make it ideal for review sessions before unit tests, helping students solidify their understanding of when triangles are congruent versus when insufficient information exists. This quiz effectively supports Common Core standards G-CO.7 (using congruence criteria to solve problems) and G-CO.8 (explaining congruence in terms of rigid motions), while building the foundational reasoning skills students need for more advanced proof-writing in geometry.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Congruent by

SSS
SAS
ASA
AAS

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

SAS
ASA
AAS
Not Possible

Tags

CCSS.HSG.SRT.B.5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

SSS
SAS
AAS
Not Possible

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How are these two triangles congruent?

SAS
ASA
AAS
Not enough information

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How are these two triangles congruent?

AAS
ASA
Not enough information
SAS

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Media Image

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

SSS
SAS
ASA
HL

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the correct congruence statement for these congruent triangles?

ΔRTS ≅ΔEFD
ΔRTS ≅ΔFDE
ΔRTS ≅ΔFED
ΔRTS ≅ΔDEF

Tags

CCSS.HSG.CO.B.7

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