Question

1. rotation 90° clockwise about the origin
2. rotation 90° clockwise about the origin

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Apply rule to vertices

For example, if a vertex of a shape has coordinates $(2,3)$ before rotation, after 90 - degree clockwise rotation about the origin, its new coordinates will be $(3,-2)$. Repeat this for all vertices of the given shapes in the problems. Then connect the new - positioned vertices to get the rotated shape.

Answer:

The new shapes after 90 - degree clockwise rotation about the origin can be drawn by applying the rule $(x,y)\to(y, - x)$ to each vertex of the original shapes and then connecting the new vertices.