Question

apply it use what you learned to solve these problems. karuk rotates figure jklm 90° clockwise around the origin to form figure wxyz. draw figure wxyz. what are the coordinates of the vertices of figure wxyz?

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Identify original vertices

Let's assume the vertices of figure JKLM are $J(x_1,y_1)$, $K(x_2,y_2)$, $L(x_3,y_3)$, $M(x_4,y_4)$.

Step3: Apply rotation rule

For point $J(x_1,y_1)$, the new coordinates of the corresponding point in WXYZ will be $W(y_1,-x_1)$. Similarly for $K$, the new point $X$ has coordinates $(y_2,-x_2)$; for $L$, the new point $Y$ has coordinates $(y_3,-x_3)$; for $M$, the new point $Z$ has coordinates $(y_4,-x_4)$.

Answer:

The coordinates of the vertices of figure WXYZ are obtained by applying the transformation $(x,y)\to(y, - x)$ to the coordinates of the vertices of figure JKLM.