SSS, SAS, ASA, AAS
Authored by Alicia Lundell
Mathematics
9th - 10th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on triangle congruence theorems in geometry, specifically covering the four primary methods for proving triangles congruent: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). Designed for grades 9-10, this assessment evaluates students' ability to identify valid congruence postulates, distinguish between sufficient and insufficient conditions for proving congruence, and apply these theorems to determine when triangles are congruent. Students must demonstrate understanding of why SSA (Side-Side-Angle) is not a valid congruence test, complete congruence statements using proper vertex correspondence, identify congruent parts based on given congruence relationships, and analyze triangle diagrams to determine which congruence theorem applies. The quiz requires students to synthesize their knowledge of geometric relationships, logical reasoning, and spatial visualization skills to make accurate determinations about triangle congruence. Created by Alicia Lundell, a Mathematics teacher in the US who teaches grades 9 and 10. This comprehensive assessment serves multiple instructional purposes in the geometry classroom, functioning effectively as a formative assessment tool to gauge student understanding before unit tests, as homework practice to reinforce newly learned concepts, or as a review activity before standardized assessments. The quiz's structure allows teachers to identify specific misconceptions students may have about triangle congruence, particularly the common error of believing SSA is a valid congruence test. Teachers can use this as a warm-up activity to activate prior knowledge or as an exit ticket to measure daily learning objectives. The varied question formats help students practice different aspects of triangle congruence, from theoretical understanding to practical application with diagrams. This assessment aligns with Common Core State Standards G-CO.B.7 and G-CO.B.8, which require students to use the definition of congruence in terms of rigid motions to show that two triangles are congruent and explain how the criteria for triangle congruence follow from the definition of congruence.
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25 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is NOT a test to prove triangles congruent?
Tags
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
Complete the congruence statement.
Tags
CCSS.HSG.CO.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which segment is congruent to EF?
Tags
CCSS.HSG.CO.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the congruency statement to answer the following:
<F = ___
Tags
CCSS.HSG.CO.B.7
5.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
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
1 min • 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
1 min • 1 pt
Congruent by
Tags
CCSS.HSG.SRT.B.5
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