Question

Line BE bisects angle FED. Which statement is false

A. FE=2.5
B. Line ab is congruent to line cd
C. FEB is congruent to BED
D. m

Answer 1

C. FEB is congruent to BED.....................

Answer 2

The FALSE statement among the given statements is B. Line AB is congruent to Line CD

Explanation:

Given that : Line BE bisects the angle FED

The given statements are :

A. FE=2.5

B. Line ab is congruent to line cd

C. FEB is congruent to BED

D. m

We need to find which statement is false among the given statements.

A. FE = 2.5

As given in the diagram, FE = ED

And ED is given to be 2.5

⇒ FE = 2.5

So, this statement is TRUE.

B. Line AB is congruent to Line CD

As from the diagram, AB = 4.8 units

And CD = 4.3 units

⇒ AB ≠ CD

So, this statement is FALSE

C. ∠FEB ≅ ∠BED

As given, BE bisects the ∠FED and we know if a line bisects any angle then it divides the angle into two equal parts.

⇒ ∠FEB ≅ ∠BED

So, This Statement is TRUE

Therefore, The FALSE statement among the given statements is B. Line AB is congruent to Line CD