Question

Graph image of rectangle JKLMN there a rotation of 90 counter clockwise about the origin

Answer 1

Step-by-step explanation

The rule to rotate a point (x, y) 90° counterclockwise about the origin is,

`(x,y)\to(-y,x)`

To draw the image of this rectangle, rotate each of the vertices,

`\begin{cases}J(1,5)\to J^(\prime)(-5,1) \\ K(3,5)\to K^(\prime)(-5,3) \\ L(3,2)\to L^(\prime)(-2,3) \\ M(1,2)\to M^(\prime)(-2,1)\end{cases}`

Graph the new vertices and draw the rectangle,