The figure below shows rectangle ABCD with diagonals segment AC and segment DB:
A rectan...
Mathematics, 22.04.2020 00:43 emobirdy1122
The figure below shows rectangle ABCD with diagonals segment AC and segment DB:
A rectangle ABCD is shown with diagonals AC and BD.
Anastasia wrote the following proof to show that the diagonals of rectangle ABCD are congruent:
Anastasia's proof:
Statement 1: Rectangle ABCD is given
Statement 2: segment AB β
segment DC because opposite sides of a rectangle are congruent
Statement 3: segment AD β
segment AD by the reflexive property of congruence
Statement 4:
Statement 5: Angles BAD and ADC are congruent because all right angles are congruent
Statement 6: Triangles BAD and CDA are congruent by SAS
Statement 7: segment AC β
segment DB by CPCTC
Which statement below completes Anastasia's proof?
Angles BAD and ADC are 90 degrees (perpendicular lines create 90-degree angles)
Angles BAD and ABC are 90 degrees (perpendicular lines create 90-degree angles)
Angles BAD and ADC are both right angles (definition of a rectangle)
Angles BAD and ABC are both right angles (definition of a rectangle)
Answers: 2
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