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 ≅ segment DC because opposite sides of a rectangle are congruent
Statement 3: segment AD ≅ 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 ≅ 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)
1 answer
1 answer