Application of Triangle Congruence to Construct Perpendicular Lines and Angle Bisectors DIRECTIONS: Complete the proof of the following. Choose from the box below. 1. Given: YA bisects ZXYZ YX I XA, and YZ 1 AZ Х 4 Prove: AX AZ Y Z Reason Statement 1. Given 1. YA bisects XYZ a) 2. b) 2. LXYA ELZYA 3. Definition of perpendicular lines 3. c) 4. All right angles are congruent 4. ZAXY ZAZY ✓ 5. d) 5. YA 2 YA 6. e) 6. AXYA = AZYA 7. CPCTC 7. f) LAXY and ZAZY are right angles YX I XA and YZ 1 AZ Definition of an angle bisector AX AZ SAA Congruence Postulate Reflexive Property​