Question

1. use the graph of the trapezoid to the right to answer where will defg be after defg is rotated 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 trapezoid vertices

Let's assume the vertices of trapezoid DEFG are $D(x_1,y_1)$, $E(x_2,y_2)$, $F(x_3,y_3)$, $G(x_4,y_4)$. After 90 - degree clockwise rotation about the origin, the new vertices $D'(y_1,-x_1)$, $E'(y_2,-x_2)$, $F'(y_3,-x_3)$, $G'(y_4,-x_4)$ will be in the fourth quadrant.

Answer:

The trapezoid D'E'F'G' will be in the fourth quadrant.