Congruent Triangles Proof Practice

Congruent Triangles Proof Practice

9th - 10th Grade

16 Qs

quiz-placeholder

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Congruent Triangles Proof Practice

Congruent Triangles Proof Practice

Assessment

Quiz

Mathematics

9th - 10th Grade

Practice Problem

Medium

CCSS
HSG.SRT.B.5, HSG.CO.C.9

Standards-aligned

Created by

Michelle Wise

Used 2K+ times

FREE Resource

About this resource

This quiz focuses on congruent triangles and geometric proofs, specifically targeting the systematic approach to proving triangle congruence through formal two-column proofs. Designed for high school geometry students at the 9th-10th grade level, the content requires students to demonstrate mastery of congruence postulates (SAS, ASA, AAS, SSS), fundamental geometric properties (reflexive property, vertical angles theorem), and the logical structure of mathematical proofs. Students must identify appropriate statements and reasons for each step in a proof sequence, recognize when triangles are congruent based on given information, and apply properties such as the definition of midpoint and vertical angles theorem. The quiz demands both procedural fluency in applying congruence theorems and conceptual understanding of how geometric relationships support logical conclusions in formal mathematical arguments. Created by Michelle Wise, a Mathematics teacher in US who teaches grade 9-10. This comprehensive assessment tool serves multiple instructional purposes, from formative assessment during initial proof instruction to summative evaluation of student mastery. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge before introducing new proof techniques, assign it as homework to reinforce classroom learning, or use it for review sessions before unit examinations. The varied question formats allow educators to identify specific areas where students struggle—whether in recognizing congruence patterns, applying appropriate theorems, or understanding the logical flow of proof construction. This quiz aligns with Common Core State Standards G.CO.8 (explaining criteria for triangle congruence) and G.CO.10 (proving geometric theorems), providing targeted practice that builds the analytical reasoning skills essential for advanced geometric thinking.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the "statement" for step 2 of the proof?

AD=AD
AD=DA
HD=DN
HD=ND

Tags

CCSS.HSG.SRT.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

AH=AN
AD=AD
HD=ND
HD=DN

Tags

CCSS.HSG.SRT.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

HA=HA
Tacos
MA=AM
MA=MA

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the "reason" for step 2 of the proof?

reflexive property
proof
SAS
≅ thrm
given

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

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

reflexive property
∠DAE ≅ ∠CBE
∠DEA ≅ ∠CEB
≅ thrm
∠D ≅ ∠C

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the "reason" for step 4 of the proof?

AAS
ASA
SAS
SSS

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

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

Vertical Angle Theorem
given
reflexive property
proof

Tags

CCSS.HSG.SRT.B.5

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