Chapter E, Problem 4.14EX

To determine

To Find:

The correct statement.

Answer to Problem 4.14EX

The correct statement is option (b) $△ABF\cong △CDE$ .

Explanation of Solution

Given information:

From the given figure, $A\overline{B}\parallel D\overline{C};A\overline{B}\cong CD;\angle 1\cong \angle 2$ .

From the given figure, $A\overline{B}\parallel D\overline{C};A\overline{B}\cong CD;\angle 1\cong \angle 2$ ,

If $A\overline{B}\cong CD$ then, their corresponding angles are equal.Also, from given $\angle 1\cong \angle 2$ ,

Therefore, we would prove that $△ABF\cong △CDE$ to further prove $D\overline{E}\cong B\overline{F}$ .

Therefore, the correct statement is option (b) $△ABF\cong △CDE$ .