Question

figure c is the result of a transformation on figure b. which transformation would accomplish this? answer a rotation 90° counterclockwise about the origin a translation 2 units to the right and 2 units up a rotation 180° counterclockwise about the origin a rotation 90° clockwise about the origin

Explanation:

Step1: Recall rotation rules

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(-y,x)$. For a 180 - degree counter - clockwise rotation about the origin, the rule is $(-x,-y)$. For a 90 - degree clockwise rotation about the origin, the rule is $(y, - x)$. A translation 2 units to the right and 2 units up has the rule $(x,y)\to(x + 2,y+2)$.

Step2: Analyze the figures

观察图形可知，Figure B到Figure C是绕原点逆时针旋转90度。假设Figure B上一点$(x,y)$，绕原点逆时针旋转90度后变为$(-y,x)$.

Answer:

A rotation 90° counterclockwise about the origin