QuestionProve: $\triangle A E C \cong \triangle D F B$.
Step Statement $\overline{A E} \| \overline{F D}$ 1 $\overline{B F} \| \overline{E C}$ $\overline{A C} \cong \overline{B D}$
Reason
Given try Type of Statement

Studdy Solution
Apply the Side-Angle-Side (SAS) Congruence Postulate:
- We have $\overline{AC} \cong \overline{BD}$ (given). - $\angle AEC \cong \angle DFB$ (from Step 2). - $\overline{EC} \cong \overline{FB}$ (since they are corresponding parts of parallel lines).
Thus, by the SAS Congruence Postulate, $\triangle AEC \cong \triangle DFB$.
The triangles $\triangle AEC$ and $\triangle DFB$ are congruent.