Mathematics, 18.11.2020 05:30 trueeriksonweav

The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through point E

The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other:

Statement Reason

ABCD is a rectangle. Given

Line segment AB and Line segment CD are parallel Definition of a Parallelogram

Line segment AD and Line segment BC are parallel Definition of a Parallelogram

Alternate interior angles theorem

Line segment BC is congruent to line segment AD Definition of a Parallelogram

∠ADB ≅∠CBD Alternate interior angles theorem

ΔADE ≅ ΔCBE Angle-Side-Angle (ASA) Postulate

Line segment BE is congruent to line segment DE CPCTC

Line segment AE is congruent to line segment CE CPCTC

Line segment AC bisects Line segment BD Definition of a bisector

Which statement can be used to fill in the blank space?

The figure below shows rectangle ABCD:

Rectangle ABCD with diagonals AC and BD passing through po

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The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through poin...

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