Question

write in your own words, explain how each rotation about the origin affects the coordinate points of a figure. a. a counterclockwise rotation of 90° copy cut paste how each

Explanation:

Step1: Recall rotation rule

For a counter - clockwise rotation of 90° about the origin, if a point has coordinates (x,y), the new coordinates (x',y') are given by the transformation (x,y)→( - y,x).

Step2: Explain effect on figure

Each point (x,y) of the figure will have its x - coordinate become the negative of the original y - coordinate and its y - coordinate become the original x - coordinate. This will change the orientation of the figure. The figure will be turned a quarter - turn counter - clockwise around the origin. The distance of each point from the origin remains the same, but its position relative to the axes changes.

Answer:

When a figure is rotated counter - clockwise 90° about the origin, each point (x,y) of the figure is transformed to ( - y,x). This changes the orientation of the figure by turning it a quarter - turn counter - clockwise around the origin while keeping the distance of each point from the origin constant.