Triangle Congruence & Proof Test Review
Authored by Lisa Norton
Mathematics
9th - 12th Grade
CCSS covered
Used 146+ times
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About
This quiz comprehensively covers triangle congruence and geometric proof, which forms a cornerstone of high school geometry curriculum appropriate for grades 9-12. Students must demonstrate mastery of the triangle congruence postulates (SSS, SAS, ASA, AAS) and understand why AAA is insufficient for proving congruence. The assessment requires students to identify missing statements and reasons in formal two-column proofs, apply properties of equality and congruence (reflexive, symmetric, transitive), and understand key definitions such as midpoint, angle bisector, and complementary angles. Additionally, students work with conditional statements, identifying hypothesis and conclusion, finding counterexamples, and applying the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). The quiz also incorporates logical reasoning through pattern recognition, conjecture formation, and understanding the structure of mathematical arguments. Created by Lisa Norton, a Mathematics teacher in the US who teaches grades 9-12. This comprehensive review quiz serves multiple instructional purposes, functioning effectively as a pre-test diagnostic tool, formative assessment during the unit, or summative review before a major examination on triangle congruence and proof. Teachers can assign this as homework to reinforce classroom learning, use individual questions as warm-up activities, or deploy it as a study guide for students preparing for state assessments. The varied question formats help students practice both conceptual understanding and procedural fluency essential for geometric reasoning. This assessment aligns with Common Core State Standards G.CO.7 (using triangle congruence criteria) and G.CO.8 (explaining triangle congruence through rigid motions), while also supporting mathematical practice standards related to constructing viable arguments and critiquing mathematical reasoning.
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62 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Are the triangles congruent, if yes, why?
Tags
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Are the triangles congruent, if yes, why?
Tags
CCSS.HSG.SRT.B.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Are the triangles congruent, if yes, why?
Tags
CCSS.HSG.SRT.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Are the triangles congruent, if yes, why?
Tags
CCSS.HSG.SRT.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the "statement" for step 2 of the proof?
Tags
CCSS.HSG.SRT.B.5
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the "statement" for step 3 of the proof?
Tags
CCSS.HSG.SRT.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is not a valid reason to prove congruent triangles?
Tags
CCSS.HSG.SRT.B.5
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