Triangle Congruence and CPCTC
Geometry study guide on triangle congruence that moves from car-part analogies and a paper-folding activity to naming SSS, SAS, ASA, AAS and HL cases and writing two-column proofs with CPCTC.
- Year levels
- Years 8–10
- File type
- Microsoft Word
- Subject
- Geometry, Maths
- Topic
- Triangle, Congruence
- Resource types
- Worksheets
- Australian Curriculum content descriptions
- AC9M10SP01 — apply deductive reasoning to proofs involving shapes in the plane and use theorems to…
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About this resource
This study guide comes with an answer key!
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In the classroom
Teaching tips & learning objectives
Learning objectives
Identify the congruence postulate that proves two triangles congruent from their markings
Use CPCTC to justify statements in a two-column proof
Skills covered
Classifying congruence — students name SSS, SAS, ASA, AAS or HL, or state that a pair cannot be proven
Proof writing — students complete a formal two-column proof using CPCTC
Labelling corresponding parts — students shade and label matching sides and angles
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Australian Curriculum (Version 9.0)
Australian Curriculum content descriptions
Australian Curriculum content descriptions
Australian Curriculum content descriptions
- AC9M10SP01 — apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
Core concepts
Core concepts
Triangle congruence postulates
CPCTC
Corresponding parts
Topics
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