Question

3. Given: ABCE is a rectangle. D is the midpoint of E.

Answer 1

Answer with Step-by-step explanation:

We are given that

ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each  is equal to  90 degrees.

D is the midpoint of E.

We have to prove that $AD\cong BD$

Statement:1 ABCE is a rectangle.D is the mid point of CE

Reason: Given

Statement 2:$\angle AED\cong \angle BCD$

Reason:By definition of rectangle

Statement:3 AE=BC

Reason: By definition of rectangle

Statement 4:$ED=DC$

Reason: By definition of midpoint because D is the midpoint of side EC

Statement 5:$\triangle AED\cong \triangle BCD$

Reason:SAS postulate

Statement: 6 $AD\cong BD$

Reason:CPCT

Hence proved.