Question

△def has vertices d(-4, 3), e(1, 2), and f(-3, -3); 180° about the origin. then, give the coordinates of the image points. d__ e f__

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° about the origin, the new - point is $(-x,-y)$.

Step2: Find $D'$

For point $D(-4,3)$, applying the rule: $x=-4,y = 3$, so $D'=(4,-3)$.

Step3: Find $E'$

For point $E(1,2)$, with $x = 1,y = 2$, then $E'=(-1,-2)$.

Step4: Find $F'$

For point $F(-3,-3)$, as $x=-3,y=-3$, we get $F'=(3,3)$.

Answer:

$D'(4,-3)$
$E'(-1,-2)$
$F'(3,3)$