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 points of the figure

Suppose the vertices of the original figure have coordinates $(x_1,y_1),(x_2,y_2),\cdots$.

Step3: Apply the rotation rule

For each vertex $(x_i,y_i)$ of the original figure, the new - coordinates after 180 - degree rotation about the origin will be $(-x_i,-y_i)$. Plot these new points and connect them to get the rotated figure.

(Note: Since the coordinates of points $K$, $I$, $M$, $W$ are not given in the problem, we can't calculate the exact new coordinates. But the general method to perform a 180 - degree rotation about the origin is as above.)

Answer:

Use the rule $(x,y)\to(-x,-y)$ for each vertex of the figure to find the new vertices and draw the rotated figure.