Section Name: CPCTC Proofs

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Presentation transcript:

Section Name: CPCTC Proofs Warm-up What were our steps for a proof? Section Name: CPCTC Proofs

Once we prove two triangles are congruent. There are six pairs of congruent sides/angles. 3 pairs of sides 1. 2. 3. 3 pairs of angles

Given: Isosceles ∆𝐴𝐵𝐶 ∠𝐴𝐷𝐵≅∠𝐶𝐷𝐵 ∠𝐴𝐵𝐷≅∠𝐷𝐵𝐶 Prove: Properties of Isosceles Triangles

Given: ∠𝐴≅∠𝐷 ∠𝐴𝐵𝐶≅∠𝐷𝐵𝐶 Prove: The two sides of isosceles triangle ∆𝐴𝐵𝐷 are congruent

Exit Ticket Which property of isosceles triangles are we trying to prove? Complete the proof. Given: 𝐴𝐵 ≅ 𝐷𝐵 𝐶 𝑖𝑠 𝑡ℎ𝑒 𝑚𝑖𝑑𝑝𝑜𝑖𝑛𝑡 𝑜𝑓 𝐴𝐷 Prove: ∠𝐴≅∠𝐷

Section Name: Review Day 1 Warm-up What were our steps for a proof? Section Name: Review Day 1