Statement Reason
2 answers:
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:
Reason: Alternate interior angles theorem
5. Statement:
Reason: Alternate interior angles theorem.
6. Statement :Line segment BC is congruent to line segment AD
7.Statement:
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
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