1. 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

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

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

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

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

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