Mathematics, 29.10.2020 23:00 s6ties
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
∠ CAD ≅∠ ACB Alternate interior angles theorem
Line segment BC is congruent to line segment AD Definition of a Parallelogram
Alternate interior angles theorem
ƒ Δ ADE ≅ ƒ Δ 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 AC bisects Line segment BD Definition of a bisector
Which statement can be used to fill in the blank space? (5 points)
∠ ADB ≅∠ CBD
∠ ABE ≅∠ ADE
∠ ACD ≅∠ ACE
∠ ACE ≅∠ CBD
Answers: 1
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The figure below shows rectangle ABCD:
Rectangle ABCD with diagonals AC and BD passing through poin...
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