Question

1. rotation 180° about the origin

Explanation:

Step1: Recall rotation rule

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

Step2: Identify vertices

Suppose the vertices of triangle $JHQ$ are $J(x_1,y_1)$, $H(x_2,y_2)$ and $Q(x_3,y_3)$.

Step3: Apply rotation

The new vertices after 180 - degree rotation about the origin will be $J'(-x_1,-y_1)$, $H'(-x_2,-y_2)$ and $Q'(-x_3,-y_3)$. Then plot these new - vertices to get the rotated triangle.

Since no coordinates of the vertices of the triangle are given, we can't calculate the exact new - vertex coordinates. But the general method to find the image of the triangle after a 180 - degree rotation about the origin is as described above.

Answer:

Use the rule $(x,y)\to(-x,-y)$ for each vertex of the triangle to find the rotated triangle.