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Understanding CPCTC: A Guide to Proving Congruent Triangles

In this lesson focused on Day 59 (Friday, 26th, 2012), students will learn about CPCTC (Corresponding Parts of Congruent Triangles are Congruent) and how to utilize it in geometric proofs. The session includes practice problems from page 130, emphasizing the application of CPCTC in proving triangles congruent through various given conditions. Students will engage in exercises that reinforce understanding and provide a solid foundation for future geometric proofs. By the end of the lesson, students should be proficient in using CPCTC effectively.

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Understanding CPCTC: A Guide to Proving Congruent Triangles

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  1. Friday 26, 2012 Day 59 >Objectives: Know what CPCTC means and how to use it in a proof. >Today: 130: 3,4,6,8,10,14 >Yesterday: Pg. 130: 1,2, 5,7,9,13, and finish all notecards.

  2. Given: XY ≌ ZY; A is midpt of XZ Prove: <X ≌ <Z Y Friday 26, 2012 Day 59 X A Z

  3. Given: YO ⃦ HE YO ≌ HE Prove: 𝛥YOX ≌ 𝛥HEX O H X Friday 26, 2012 Day 59 Y E

  4. Given: YO ⃦ HE YO ≌ HE Prove: OX ≌ EX O H X Friday 26, 2012 Day 59 Y E

  5. Given: MA ⃦ TH HM ⃦ AT Prove: MA ≌ TH M A Friday 26, 2012 Day 59 T H

  6. Given:YA ⟘ XZ A is midpt of XZ Prove: <X ≌ <Z Y Friday 26, 2012 Day 59 X A Z

  7. Given: YH and OE bisect each other. Prove: OY ⃦ EH O H X Friday 26, 2012 Day 59 Challenge: Y E

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