Question

It is given that AB is congruent to ED and angle AFB is congruent to angle DFE. Which of the following statements is true based on the given information?

A) Angle ABF is congruent to angle DEF.
B) Angle ABE is congruent to angle DEB.
C) Angle AFB is congruent to angle DEF.
D) Angle ABF is congruent to angle DEB.

Answer 1

The correct statement is that angle AFB is congruent to angle DEF, as congruent angles have the same measure and can be written in any order. So, the best answer is c, Angle AFB is congruent to angle DEF.

Step-by-step explanation:

Based on the given information, statement C is true: Angle AFB is congruent to angle DEF.

We know this because congruent angles are angles that have the same measure.

Since it is given that angle AFB is congruent to angle DFE, and congruent angles can be denoted in the same way regardless of the order of the points (angle notation is not dependent on alphabetical order), we can conclude that angle AFB is congruent to angle DEF (which is just a reordering of the letters in angle DFE).

So, the best answer is c, Angle AFB is congruent to angle DEF.