Question

1. rotation 180° about the origin

Explanation:

Step1: Recall rotation rule

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

Step2: Identify vertices

Suppose the vertices of $\triangle JHQ$ are $J(x_1,y_1)$, $H(x_2,y_2)$, $Q(x_3,y_3)$. After rotation, the new vertices will be $J'(-x_1,-y_1)$, $H'(-x_2,-y_2)$, $Q'(-x_3,-y_3)$.

Step3: Plot new triangle

Plot the points $J'$, $H'$, $Q'$ on the coordinate - plane and connect them to form the rotated triangle.

Answer:

The new triangle is obtained by applying the rule $(x,y)\to(-x,-y)$ to each vertex of $\triangle JHQ$ and then connecting the new vertices.