Mathematics, 12.01.2021 03:00 2020kaylahernan

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 ≅ 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 ≅ segment DB by CPCTC

Which statement below completes Jimmy's proof?

segment AD ≅ segment AD (reflexive property of congruence)
segment AD ≅ segment AD (transitive property of congruence)
segment BC ≅ segment BC (reflexive property of congruence)
segment BC ≅ segment BC (transitive property of congruence)

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

A rectangle ABCD

Answers: 2

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