Question

geometry with statistics 3.3 rotations find the coordinates of the vertices of each figure after the 1) rotation 90° counter - clockwise about the origin

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(-y,x)$.

Step2: Identify original coordinates

Assume the vertices of the quadrilateral have coordinates: Let's say $K(x_1,y_1)$, $L(x_2,y_2)$, $M(x_3,y_3)$, $N(x_4,y_4)$. First, find these coordinates from the graph. For example, if $K$ has coordinates $(2,3)$, after rotation, the new coordinates of $K'$ will be $(-3,2)$ according to the rule $(-y,x)$. Do this for all vertices.

Answer:

Find the original coordinates of each vertex of the quadrilateral on the graph. Then apply the 90 - degree counter - clockwise rotation rule $(-y,x)$ to each vertex to get the new coordinates.