Using CPCTC in Geometric Proofs

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Apply Corresponding Parts of Congruent Triangles Are Congruent (CPCTC) to prove additional relationships after establishing triangle congruence.

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Constructing Triangle Congruence Proofs

10th Grade · Math · TEKS

8 lessons

Goal

Write formal triangle congruence proofs in various formats and apply CPCTC to prove further relationships, including in multi-step and overlapping triangle problems.

8 lessons

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Learning standards covered

111.41(b)(6)(B)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Grade

prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;

Open Global Standard:OGM.11.GEO.3

111.41(b)(1)(G)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Grade

display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

Open Global Standard:OGM.11.GEO.1

OGM.11.GEO.3

OGM.11.GEO.1