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 AB and CD are parallel. Definition of a Parallelogram AD and BC are parallel. Definition of a Parallelogram ZCAD LACB Alternate interior angles theorem Definition of a Parallelogram LADB LCBD Alternate interior angles theorem AADE ACBE Angle-Side-Angle (ASA) Postulate
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 AB and CD are parallel. Definition of a Parallelogram AD and BC are parallel. Definition of a Parallelogram ZCAD LACB Alternate interior angles theorem Definition of a Parallelogram LADB LCBD Alternate interior angles theorem AADE ACBE Angle-Side-Angle (ASA) Postulate
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.5: Solving Equations Using Addition Or Subtraction
Problem 38E
Related questions
Question
![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
AB and CD are parallel. Definition of a Parallelogram
AD and BC are parallel. Definition of a Parallelogram
ZCAD LACB
Alternate interior angles theorem
Definition of a Parallelogram
ZADB LCBD
Alternate interior angles theorem
AADE ACBE
Angle-Side-Angle (ASA) Postulate
BE = DE
СРСТС
AE CE
СРСТС
AC bisects BD
Definition of a bisector
Which statement can be used to fill in the blank space?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c902720-cc3c-4f34-96e0-ce4b72e1ebec%2Fe5c23b99-f310-4187-a1a0-10098030bda4%2Fgo2h56x_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
AB and CD are parallel. Definition of a Parallelogram
AD and BC are parallel. Definition of a Parallelogram
ZCAD LACB
Alternate interior angles theorem
Definition of a Parallelogram
ZADB LCBD
Alternate interior angles theorem
AADE ACBE
Angle-Side-Angle (ASA) Postulate
BE = DE
СРСТС
AE CE
СРСТС
AC bisects BD
Definition of a bisector
Which statement can be used to fill in the blank space?
![The figure below shows rectangle ABCD.
B.
A,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c902720-cc3c-4f34-96e0-ce4b72e1ebec%2Fe5c23b99-f310-4187-a1a0-10098030bda4%2Fhuge428_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figure below shows rectangle ABCD.
B.
A,
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