V. A ASSESSMENT

Given: ∆CAN and ∆LYT;
CA≅LY, AN≅YT
m∠A › m∠Y

Prove: CN › LT

Proof:
1. Construct AW such that:
AW≅AN≅YT, AW is between AC and AN, and ∠CAW≅LYT
Consequently, ∆ CAW≅∆LY by SAS triangle congruence postulate. So, CW≅LT because corresponding parts of congruent triangles are congruent (CPCTC).
2. Construct the bisector AH of ∠ NAW such that:
H is on CM and ∠ NAH≅ ∠WAH
Consequently, ∆ NAH≅∆WAH by SAS triangle congruence postulate. So, AH≅AH by reflexive property of equality and AW≅AN from construction no.1. So, WH≅HN because corresponding parts of congruent triangles are congruent (CPCTC).​