Answer:
- Reason-Given
- Statement- Angle AEC is congruent to Angle DEB. Reason- Vertical Angles Theorem
- Statement- Sides AE=DE, Side CE=BE
- Reason- SAS Congruent Triangles Theorem
Step-by-step explanation:
The vertical angles theorem states that when two straight lines intersect, they form two sets of linear pairs with congruent angles.
A midpoint divides a line into 2 congruent segments.
The SAS Theorem states that if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
