CPCTC Practice
Authored by Mr. Fallas
Mathematics
9th - 12th Grade
CCSS covered
Used 401+ times
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About
This quiz focuses on triangle congruence and CPCTC (Corresponding Parts of Congruent Triangles are Congruent), making it appropriate for high school geometry students in grades 9-10. The questions systematically build understanding of congruent triangles, starting with basic definitions and symbols, progressing through corresponding parts identification, and culminating in formal geometric proofs. Students need to master several core concepts: understanding congruence notation and what it means for triangles to be the same shape and size, recognizing that order matters in congruence statements, identifying corresponding parts between congruent triangles, applying the major congruence postulates (SSS, SAS, ASA, AAS, and HL), and constructing formal geometric proofs with proper reasoning and justification. The quiz requires students to think critically about triangle relationships, use precise mathematical language, and apply logical reasoning to prove geometric statements. Created by Mr. Fallas, a Mathematics teacher in US who teaches grade 9-12. This comprehensive assessment serves multiple instructional purposes throughout the geometry unit on triangle congruence. Teachers can use individual sections as warm-up activities to reinforce specific concepts like congruence notation or corresponding parts, while the complete quiz functions effectively as summative practice before major assessments or as structured homework to solidify understanding. The progression from basic vocabulary to proof-writing makes it particularly valuable for formative assessment, allowing teachers to identify which students need additional support with foundational concepts versus those ready for advanced proof techniques. The quiz aligns with Common Core standards G-CO.7 (using congruence and similarity criteria to solve problems) and G-CO.8 (explaining triangle congruence criteria), while also supporting mathematical practice standards through its emphasis on constructing viable arguments and attending to precision in mathematical language and notation.
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37 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If ΔABC ≅ ΔXYZ, which statement is always true?
Tags
CCSS.8.G.A.2
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If ΔABC ≅ ΔXYZ, which statement is always true?
Tags
CCSS.HSG.CO.B.7
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If ΔABC ≅ ΔXYZ, which statement is always true?
Tags
CCSS.8.G.A.2
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If ΔABC ≅ ΔXYZ, which statement is always true?
∠C ≅ ∠Y
Tags
CCSS.8.G.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If ΔABC ≅ ΔXYZ, which statement is always true?
Tags
CCSS.HSG.CO.B.7
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If ΔDEF ≅ ΔRST, then we can conclude that DE = what?
Tags
CCSS.HSG.CO.B.7
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
Tags
CCSS.8.G.A.2
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