Question

Quadrilateral \[jklm\] is rotated \[-270^\circ\] about the origin.

A) No change in orientation
B) 90-degree clockwise rotation
C) 180-degree rotation
D) 270-degree counterclockwise rotation

Answer 1

When quadrilateral jklm is rotated -270° about the origin, it is equivalent to a 90-degree clockwise rotation, resulting in option B as the correct answer.

Step-by-step explanation:

If quadrilateral jklm is rotated -270° about the origin, the resulting position of the shape is equivalent to a 90-degree clockwise rotation, because a -270° rotation is the same as a +90° rotation in the opposite direction. Thus, the answer to the question is B) 90-degree clockwise rotation. This transformation is one example of a geometric rotation, which involves turning a figure around a fixed point without changing its shape or size.