Question

1. rotate figure efgh 90° clockwise about the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Identify vertices of EFGH

Let's assume the vertices of figure EFGH are $E(x_1,y_1)$, $F(x_2,y_2)$, $G(x_3,y_3)$, $H(x_4,y_4)$.

Step3: Apply rotation rule to each vertex

$E(x_1,y_1)\to E'(y_1,-x_1)$, $F(x_2,y_2)\to F'(y_2,-x_2)$, $G(x_3,y_3)\to G'(y_3,-x_3)$, $H(x_4,y_4)\to H'(y_4,-x_4)$.

Step4: Plot new vertices

Plot the new vertices $E'$, $F'$, $G'$, $H'$ on the coordinate - plane and connect them to form the rotated figure.

Answer:

The new figure is obtained by applying the $(x,y)\to(y, - x)$ rule to each vertex of figure EFGH and then connecting the new vertices.