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

Assume the vertices of the triangle are $V(x_1,y_1)$, $G(x_2,y_2)$, $L(x_3,y_3)$. After rotation, they become $V'(-x_1,-y_1)$, $G'(-x_2,-y_2)$, $L'(-x_3,-y_3)$.

Step3: Plot new points

Plot the new - located vertices on the coordinate plane to get the rotated triangle.

Answer:

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