Question

Statement Reason

Answer 1

Answer:

D. Line segment BC is congruent to line segment AD.

Step-by-step explanation:

Given ABCD is a rectangle

AB=CD and BC= AD

1.Statement: ABCD  is a rectangle.

Reason: Given

2.Statement:  Line segment AB and line segment CD are parallel

Reason: By definition of parallelogram

3.Statement :  Line segment AD and line segment BC are parallel

Reason: By definition of parallelogram

4.Statement:  $\angle CAD \cong \angle ACB$

Reason: Alternate interior angles theorem

5. Statement: $\angle ADB \cong\angle CBD$

Reason: Alternate interior angles theorem.

6. Statement :Line segment BC is congruent to line segment AD

7.Statement:  $\triangle ADE \cong CBE$

Reason: Angle-Side_ Angle (ASA)

postulate

8.. Statement: Line segment BE is congruent to line segment DE

Reason: CPCT

9. Statement: Line segment AE is congruent to line segment CE

Reason: CPCT

10. Statement: Line segment AC bisects line segment BD

Reason: By definition of a bisector

Answer 2

It's D. To prove that line segment BC is congruent to line segment AD, which is the "side" of angle side angle.