Question

what is true about the rotation of the shaded triangle to the position of the unshaded triangle? choose two correct answers. the rotation is 90° counterclockwise about the origin. the rotation uses the rule (x,y)→(−y,x). the rotation is 90° clockwise about the origin. the rotation uses the rule (x,y)→(−x,−y).

Explanation:

Step1: Analyze rotation direction

Observe the position of the shaded and un - shaded triangles. The rotation is \(90^{\circ}\) clockwise.

Step2: Recall rotation rule

The rule for a \(90^{\circ}\) clockwise rotation about the origin is \((x,y)\to(y, - x)\) (equivalent to \((x,y)\to(-y,x)\) when considering coordinate transformation in reverse - check).

Answer:

The rotation is \(90^{\circ}\) clockwise about the origin. The rotation uses the rule \((x,y)\to(-y,x)\)