Question

trapezoid ghj k 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

The rule for a 180 - degree rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Identify the coordinates of $H'$

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

Step3: Find pre - image coordinates

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

Answer:

$(2,3)$