Fill In The Blanks
Please complete the following proof.
Given: XY¯¯¯¯¯¯¯¯≅XZ¯¯¯¯¯¯¯¯ and ∠YXP ≅ ∠ZXP
Prove:XP¯¯¯¯¯¯¯¯ bisects YZ¯¯¯¯¯¯¯
(2 points)
Statements Reasons
1. XY¯¯¯¯¯¯¯¯≅XZ¯¯¯¯¯¯¯¯ and ∠YXP ≅ ∠ZXP
1. Given
2. XP¯¯¯¯¯¯¯¯≅XP¯¯¯¯¯¯¯¯
2. Reflexive Property
3. △YXP≅△ZXP
3. (fill in)
4.. YP¯¯¯¯¯¯¯¯≅PZ¯¯¯¯¯¯¯
4. (fill in)
5. XP¯¯¯¯¯¯¯¯ bisects YZ¯¯¯¯¯¯¯
5. Definition of segment bisector
3. SAS congruence theorem
4. CPCTC (corresponding parts of congruent triangles are congruent)