Match the reasons with the statements given in the proof.

Given:

WX > XY

Prove:

1 > 4

1. WX > XY Given

2. ∠3 > ∠4 If a = b + c and c>0, then a>b.

3. ∠1 = ∠3 + ∠2 Angle opposite longer side is larger angle.

4. ∠1>∠3 Exterior ∠ = sum of remote interior ∠'s

5. ∠1 > ∠4 Transitive property

The correct match of the reasons with the statements given in the proof are as follows:

Given:

WX > XY

We prove that 1 > 4 as follows:

Statement Reason

1. WX > XY Given

2. ∠3 > ∠4 Angle opposite longer side is larger angle.

3. ∠1 = ∠3 + ∠2 Exterior ∠ = sum of remote interior ∠'s

4. ∠1 > ∠3 If a = b + c and c>0, then a>b.

5. ∠1 > ∠4 Transitive property