Question

James is given the diagram below and asked to prove that ZD ZF. What

would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD

Answer 1

C, ∠DEO ≅ ∠FEO

Explanation:

The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.

This means the angle is divided into 2 equal angles.

⇒ ∠DEO ≅ ∠FEO