Congruence
Authored by Debra Hale
Mathematics
8th - 10th Grade
CCSS covered
Used 353+ times
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About
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
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which is NOT a test to prove triangles congruent?
Tags
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Complete the congruence statement.
Tags
CCSS.HSG.CO.B.7
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which segment is congruent to EF?
Tags
CCSS.HSG.CO.B.7
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Use the congruency statement to answer the following:
<F = ___
Tags
CCSS.HSG.CO.B.7
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Tags
CCSS.HSG.SRT.B.5
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Tags
CCSS.HSG.SRT.B.5
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Are these triangles congruent? If so, state the rule which you used to determine congruence.
Tags
CCSS.HSG.SRT.B.5
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