3. given: abce is a rectangle. d is the midpoint of e.

prove: ad bd

statements

1) abce is a rectangle. d is the midpoint of ce.

2) _aed __bcd

3) ae = bc

4)?

5)?

6)?

reasons

1) given

2) def. of rectangle

3) def. of rectangle

4) ?

5) ?

6)?

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

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

Reason: Given

Statement 2:

Reason:By definition of rectangle

Statement:3 AE=BC

Reason: By definition of rectangle

Statement 4:

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

Statement 5:

Reason:SAS postulate

Statement: 6

Reason:CPCT

Hence proved.

congruent segments

step-by-step explanation: