A. Directions: Complete the following proof by adding the missing statement or reason. Use the choices inside the box below.

Given: ACAN and ALYT, CA ~ LY, AN ~ YT, LA > LY Prove: CN > LT Proof: C W 1. Construct AW such that: AW ~ AN E YT. AW is between AC and AN, and LCAW ~ LLYT. A Consequently, ACAW = ALYT by SAS Triangle Congruence Postulate. So, CW LT because corresponding parts of congruent triangles are congruent. 2 Construct the bisector AH of / NAW such that: H is on CN . LNAH ~ ZWAH Consequently, ANAH ~ AWAH by SAS Triangle Congruence Postulate because AH = 4H by reflexive property of equality and AW ~ AN from construction no. 1. So, WH = HN because corresponding parts of congruent triangles are congruent. Statements Reasons 1. From the illustration: 1 . CN ~ CH + HN 2. CN = CH + WH 2. 3. In ACHW, CH + WH > CW 3. 4. Using statement 2 in 3: 4 CN > CW 5. Using statement in construction 1 in |5. statement 4: CN > LT A. Triangle Equality theorem 3 B. Segment addition Postulate C. Substitution property of equality (using statement 2 in 3) D. Substitution property of Equality E. Substitution property of equality (using statement in construction 1 in statement 4)Given: AODG and ALUV, ODE LU, DG = DV, OG > LV SAS ZD $ ZU Prove: LD> ZU Congruent OG ELV False True OG LV 3. Considering /D LV 4. Assumption that ZD * ZU isproven 4. Therefore, ZD > ZU must be to be false