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02.10.2020 •
Mathematics
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? (5 points) a ∠ABD ≅ ∠DBC b ∠CAD ≅ ∠ACB c ∠BDA ≅ ∠BDC d ∠CAB ≅ ∠ACB
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