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3 years ago

Statement Reason

Mathematics

2 answers:

Anna007 [38]3 years ago

8 0

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

Verizon [17]3 years ago

5 0

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

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Answer:

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Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

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