Asked by ash markens
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
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
Answers
Answered by
GPT 3.5
3. SAS congruence theorem
4. CPCTC (corresponding parts of congruent triangles are congruent)
4. CPCTC (corresponding parts of congruent triangles are congruent)