Section Name: Bisector Proofs Warm-up Given the construction, select all that must be true. AO≅OB AB≅CD AO≅OC ∠AOC is a right angle ∠AOB is a right angle ∠DOB is a right angle CD is a perpendicular bisector AB is a perpendicular bisector Section Name: Bisector Proofs

Complete the following proof: Given: 𝑌𝑊 is a perpendicular bisector of 𝑋𝑍 Prove: ∆𝑋𝑌𝑊≅∆𝑍𝑌𝑊 Statement 1. 𝑌𝑊 is a perpendicular bisector of 𝑋𝑍 2. 3. 4. 5. 6. ∆𝑋𝑌𝑊≅∆𝑍𝑌𝑊 Reason Given 6.

Complete the following proof: Given: 𝐶𝐷 bisects ∠𝐵𝐶𝐴 𝐴𝐶 ≅ 𝐵𝐶 Prove: ∆𝐴𝐷𝐶≅∆𝐵𝐷𝐶 Statement 1. 𝐶𝐷 bisects ∠𝐵𝐶𝐴 2. 𝐴𝐶 ≅ 𝐵𝐶 3. 4. 5. ∆𝐴𝐷𝐶≅∆𝐵𝐷𝐶 Reason 1. Given 2. Given 5.

Complete the following proof: Given: 𝑃𝑅 bisects ∠𝑆𝑅𝑄 ∠𝑆≅∠𝑄 Prove:∆𝑃𝑄𝑅≅∆𝑃𝑆𝑅 Statement Reason

Complete the following proof: Statement Reason Given: 𝐴𝐷 is a perpendicular bisector of 𝐵𝐶 Prove: ∆𝐴𝐶𝐷≅∆𝐴𝐵𝐷

Exit Ticket: What three reasons need to be in a proof that has a perpendicular bisector as a given.