Answer:
1)
1. Given
2. Vertical Angles Theorem
3. SAS Congruence Postulate
2)
1. Given
2. Definition of Angle Bisector
3. Definition of Perpendicular Lines
4. All right angles are congruent.
5. Reflexive Property
6. ASA Congruence Postulate
3)
1. AC is the perpendicular bisector of PT.
2. Definition of Bisector
3. AC = AC
4. Definition of Perpendicular Bisector
5. <PCA = <TCA
6. SAS Congruence Postulate.
7. PA = TA; CPCTC
Explanation:
None necessary.