Given: ABCE is a rectangle. D is the midpoint of Line CE

Question

Prove: Line AD ≅ Line BD
Statements:
1) ABCE is a rectangle. D is the midpoint of Line Ce
2) ∠ AED ≅ ∠ BCD
3) Line AE ≅ Line BC
4) ?

Reasons
1)Given
2) Definition of rectangle
3) Definition of rectangle
4)?
5)?

Answer 1

4) From statement 2 and 3, we can conclude that triangle AED ≅ triangle BCD by the angle-side-angle congruence criterion.
5) Since congruent triangles have congruent corresponding parts, we can say that line AD ≅ line BD.