Question

Line BE bisects angle FED. Which statement is true?

A. angle AFE is congruent to angle CBE
B. line AB is congruent to line CD
C. angle BEF is congruent to angle BED
D. BC = 4.3

Answer 1

it would be C because bisectors split the angle in half

Answer 2

(C)angle BEF is congruent to angle BED

Explanation:

It is given that the line BE bisects angle FED which means that angle BEF is congruent to angle BED because of the property of bisector angle, the whole angle splits into two congruent angles.

Moreover, from the figure, it is true that angle AFE is congruent to angle CBE

and the line AB is congruent to line CD. But according to the statement given C is correct.

Thus, Option C is correct.