Question

for exercise 12, select the best answer. 12. which of the following statements describes the rotation shown? (lesson 3) a. 90° counterclockwise rotation b. 180° clockwise rotation c. 270° clockwise rotation d. 360° counterclockwise rotation

Explanation:

Step1: Recall rotation rules

In a coordinate - plane, a 90° counter - clockwise rotation of a point (x,y) gives (-y,x), a 180° clockwise (or counter - clockwise) rotation of a point (x,y) gives (-x,-y), a 270° clockwise rotation of a point (x,y) gives (y, - x), and a 360° rotation of a point (x,y) gives (x,y).

Step2: Analyze the transformation of a point

Let's take a point, say point A. Assume the coordinates of point A are (x,y). After rotation, its image A' has coordinates that follow the rule of a 90° counter - clockwise rotation. For example, if we consider the general transformation of points in the triangle, a 90° counter - clockwise rotation about the origin maps the original triangle to the new triangle.

Answer:

A. 90° counterclockwise rotation