Question

Please write the proof out for the Geometry problem

Answer 1

1. Reason-Given
2. Statement- Angle AEC is congruent to Angle DEB. Reason- Vertical Angles Theorem
3. Statement- Sides AE=DE, Side CE=BE
4. Reason- SAS Congruent Triangles Theorem

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.