Geometry | Unit 2: Congruence | End-of-Unit Assessment
Authored by Illustrative Mathematics
Mathematics
6th Grade
HSG-CO covered
Used 7+ times
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This quiz focuses on geometric congruence, specifically triangle congruence theorems and rigid motion transformations. The assessment operates at a high school geometry level, typically grade 9 or 10, requiring students to demonstrate sophisticated spatial reasoning and proof-writing skills. Students must master the fundamental triangle congruence theorems (SSS, SAS, ASA, and AAS), understand how rigid motions (translations, rotations, and reflections) preserve congruence, and apply these concepts to prove geometric relationships. The questions demand both procedural fluency in identifying congruence conditions and conceptual understanding of how transformations map one figure onto another. Students need to analyze parallelogram properties, work with angle relationships in quadrilaterals, and construct formal geometric proofs using transformation sequences. The assessment combines multiple-choice recognition tasks with open-ended proof problems, requiring students to justify their reasoning and explain their mathematical thinking clearly. Created by Illustrative Mathematics, a Mathematics teacher in India who teaches grade 6. This end-of-unit assessment serves as a comprehensive evaluation tool for students completing their study of congruence in geometry. Teachers can implement this quiz as a summative assessment to measure student mastery of congruence concepts before moving to the next unit, or break it into sections for formative assessment purposes throughout the unit. The varied question formats make it adaptable for different instructional needs - the multiple-choice items work well for quick checks of understanding during class, while the open-response problems provide excellent opportunities for students to practice mathematical communication and proof-writing. This assessment effectively supports classroom instruction by requiring students to demonstrate both computational skills and deeper conceptual understanding of geometric relationships. The quiz aligns with Common Core State Standards 8.G.A.2, 8.G.A.3, and G-CO.B.7, which address congruence through rigid motions and the application of congruence criteria for triangles.
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8 questions
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1.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Select all statements that are true about the triangles.
Tags
HSG-CO.C.10
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Tags
HSG-CO.A.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Tags
HSG-CO.B.8
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Evaluate responses using AI:
OFF
Tags
HSG-CO.B.7
5.
OPEN ENDED QUESTION
3 mins • 1 pt
Evaluate responses using AI:
OFF
Tags
HSG-CO.C.11
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Evaluate responses using AI:
OFF
Tags
HSG-CO.C.11
7.
OPEN ENDED QUESTION
3 mins • 1 pt
Evaluate responses using AI:
OFF
Tags
HSG-CO.C.10
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