triangle congruence
Authored by Sharon OHanlon
Mathematics
10th Grade
CCSS covered
Used 946+ times
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About
This quiz focuses squarely on triangle congruence, a fundamental topic in high school geometry that belongs at the grade 9-10 level. Students encounter questions that require them to identify which congruence postulate or theorem applies to given triangle pairs, including Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL) for right triangles. The core concepts students must master include understanding the minimum conditions needed to prove triangles congruent, recognizing when triangles are NOT congruent (particularly the invalid SSA case), and applying the principle that corresponding parts of congruent triangles are congruent (CPCTC). Students need strong visual reasoning skills to analyze triangle diagrams, identify marked congruent parts, and determine which postulate applies, as well as the logical reasoning to complete congruence statements and identify corresponding angles and sides. Created by Sharon O'Hanlon, a Mathematics teacher in the US who teaches grade 10. This quiz serves as an excellent tool for both formative assessment and practice, allowing teachers to gauge student understanding of triangle congruence postulates before moving on to more complex geometric proofs. The variety of question types makes it adaptable for different instructional purposes - teachers can use individual questions as warm-up problems, assign the full quiz for homework practice, or deploy it as a review activity before a unit test. The inclusion of "trick" questions about the invalid SSA case helps students develop critical thinking skills and avoid common misconceptions. This assessment aligns with Common Core standards G.CO.7 and G.CO.8, which focus on using the definition of congruence in terms of rigid motions and using congruence criteria to solve problems and prove relationships in geometric figures.
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50 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
Tags
CCSS.HSG.SRT.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
Tags
CCSS.HSG.SRT.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
Tags
CCSS.HSG.SRT.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
Tags
CCSS.HSG.SRT.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
Tags
CCSS.HSG.SRT.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which is NOT a criteria for triangles to be congruent by the HL Theorem?
Tags
CCSS.HSG.SRT.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
Tags
CCSS.HSG.SRT.B.5
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