Question

Match the reasons with the statements in the proof to prove DF = EF, given that DEF is a triangle by definition and angles 3 and 4 are equal.

Given:

DEF

3 = 4

Prove:

DF = EF



1. 3 = 4
Given
2. 1 and 3are supplementary



2 and 4are supplementary
If the Two Angles of a Triangle are Equal, then the Sides Opposite those Angles are also Equal
3. 1 = 2
Two Angles Supplementary to Equal Angles are Equal to Each Other
4. DF = EF
Exterior Sides are in Opposite Rays