Question

Match the reasons with the statements in the proof to prove that triangle AXC is congruent to triangle BXC, given that angles 3 and 4 are right angles and AX = BX. Given: ∠3 and ∠4 are right angles AX = BX Prove: △AXC ≅ △BXC 1. ∠3 and ∠4 are right angles Reflexive Property of Equality 2. AX = BX CX = CX Leg - Leg Theorem 3. △AXC ≅ △BXC Given

Answer 1

1.) ∠3 and ∠4 are right angles, AX = BX --- b.) Given

2 ). CX = CX --- a.) Reflexive Property of Equality

3.) △AXC ≅ △BXC --- c.) Leg-Leg Theorem

Explanation:

1. ∠3 and ∠4 are right angles, AX = BX

2 . CX = CX

3. △AXC ≅ △BXC

a. Reflexive Property of Equality

b. Given

c. Leg-Leg Theorem