Question

2. If DF = HF, name one more pair of congruent

angles needed to prove Triangle DFG = triangle HFE by AAS.

Answer 1

angle DGF and angle HEF

Explanation:

AAS postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

In triangles DFG and HFE,

• angles DFG and HFE are congruent by reflexive property;
• sides DF and HF are congruent (these will be non-included sides).

So, to use AAS postulate, angles DGF and HEF must be congruent.

Hence, the one more pair of congruent angles is angle DGF and angle HEF.