Question

which rotation is shown in the coordinate plane? 90° counterclockwise 90° clockwise 180° counterclockwise 180° clockwise

Explanation:

Step1: Pick a vertex pair

Take vertex D (right triangle) and D' (left triangle). Assume D is (2,-2), D' is (-2,-1) – check orientation: 180° rotation swaps signs of coordinates (x,y)→(-x,-y), matching the flipped position across origin.

Step2: Verify rotation type

180° rotation is same clockwise/counterclockwise. The triangles are mirrored opposite each other over origin, confirming 180°.

Answer:

C. 180° counterclockwise, D. 180° clockwise