Question

1. rhombus defg with vertices d(3, 6), e(8, 8), f(6, 3), and g(1, 1); 90° clockwise rotation

Explanation:

Step1: Recall rotation formula

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

Step2: Apply to point D

Given $D(3,6)$, after 90 - degree clockwise rotation, $D'(6,-3)$.

Step3: Apply to point E

Given $E(8,8)$, after 90 - degree clockwise rotation, $E'(8,-8)$.

Step4: Apply to point F

Given $F(6,3)$, after 90 - degree clockwise rotation, $F'(3,-6)$.

Step5: Apply to point G

Given $G(1,1)$, after 90 - degree clockwise rotation, $G'(1,-1)$.

Answer:

$D'(6,-3)$
$E'(8,-8)$
$F'(3,-6)$
$G'(1,-1)$