Question

trapezoid ghjk was rotated 180° about the origin to determine the location of ghjk, as shown on the graph. what are the coordinates of pre - image point h? (2, 3) (-2, 3) (3, 2) (3, -2)

Explanation:

Step1: Recall rotation rule

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

Step2: Identify the coordinates of $H'$

From the graph, assume the coordinates of $H'$ are $(- 2,-3)$.

Step3: Find the pre - image coordinates

Let the coordinates of $H$ be $(x,y)$. Using the 180° rotation rule $(-x,-y)=(-2,-3)$. Then $x = 2$ and $y = 3$.

Answer:

A. $(2,3)$