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Mathematics, 15.04.2020 19:06 slamkam10

The figure below shows rectangle ABCD with diagonals segment AC and segment DB:

A rectangle ABCD is shown with diagonals AC and BD.

Jimmy wrote the following proof to show that the diagonals of rectangle ABCD are congruent:

Jimmy's proof:
Statement 1: Rectangle ABCD is given
Statement 2: segment AB β‰… segment DC because opposite sides of a rectangle are congruent
Statement 3: Angles ABC and DCB are both right angles by definition of a rectangle
Statement 4: Angles ABC and DCB are congruent because all right angles are congruent)
Statement 5:
Statement 6: Triangles ABC and DCB are congruent by SAS
Statement 7: segment AC β‰… segment DB by CPCTC

Which statement below completes Jimmy's proof?

segment AD β‰… segment AD (reflexive property of congruence)
segment AD β‰… segment AD (transitive property of congruence)
segment BC β‰… segment BC (reflexive property of congruence)
segment BC β‰… segment BC (transitive property of congruence)

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The figure below shows rectangle ABCD with diagonals segment AC and segment DB:

A rectan...
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