Question

The graph shows a rectangle that has been rotated. Which statement is FALSE?
A) The angles of the rectangle remained 90°.
B) The parallel lines of the rectangle remained parallel.
C) The segments of the rectangle remained the same length.
D) The rectangle retained its same position on the coordinate plane.

Answer 1

False statement:
D) The rectangle retained its same position on the coordinate plane.

Rotations preserve length and angle measures. The only thing that changed about the rectangle is its position. The rectangle was not dilated, so it's side lengths remain the same. All rectangles have parallel opposite sides and 90° angles, so those two wouldn't change no matter which transformation was applied.

Answer 2

The false statement is (d) the rectangle retained its same position on the coordinate plane.

When a shape is rotated, the angles in the shape and the side lengths remain unchanged.

However, the coordinates of the shape will not be the same.

Hence, the false statement is (d)

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