2.08 Transformations and Congruence Review and Practice Test

The figure below shows rectangle ABCD with diagonals and :Anastasia wrote the following proof to show that the diagonals of rectangle ABCD are congruent:Anastasia's proof:Statement 1: Rectangle ABCD is givenStatement 2: ≅ because opposite sides of a rectangle are congruentStatement 3: ≅ by the reflexive property of congruenceStatement 4:Statement 5: Angles BAD and ADC are congruent because all right angles are congruentStatement 6: Triangles BAD and CDA are congruent by SASStatement 7: ≅ by CPCTCWhich statement below completes Anastasia's proof? : Angles BAD and ADC are both right angles (definition of a rectangle)

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC, and side AD is parallel to side BC:A student wrote the following sentences to prove that parallelogram ABCD has two pairs of opposite sides equal:For triangles ABD and CDB, alternate interior angle ABD is congruent to angle CDB because AB and DC are parallel lines. Similarly, alternate interior angle ADB is equal to angle CBD because AD and BC are parallel lines. DB is equal to DB by reflexive property. Therefore, triangles ABD and CDB are congruent by ________. Therefore, AB is congruent to DC and AD is congruent to BC by CPCTC.Which phrase best completes the student's proof? : ASA Postulate

Parallelogram ABCD is rotated 90° counterclockwise. What rule shows the input and output of the rotation, and what is the new coordinate of A′? : (x, y) → (−y, x); A′ is at (−1, −5)

If triangle MNO is congruent to triangle PQR, which statement is not true? : segment MN ≅ segment QR