Question

The figure below shows rectangle ABCD.

The 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

∡CAD ≅ ∡ACB

Alternate interior angles theorem

Line segment BC is congruent to line segment AD

Definition of a Parallelogram



Alternate interior angles theorem

Triangle ADE is congruent to triangle CBE

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 ACbisects Line segment BD

Definition of a bisector



Which statement can be used to fill in the blank space?
∡ADB ≅ ∡CBD

∡ABE ≅ ∡ADE

∡ACD ≅ ∡ACE

∡ACE ≅ ∡CBD

Answer 1

@BrainGamer706

Answer 2

∡ADB ≅ ∡CBD

Answer 3

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