Question

answer all parts of the question on the graph to the right. plot the pre - image and label it appropriately. make sure to show the transformations using different colors and labeling them appropriately. show the line of reflection when reflecting. plot the pre - image. triangle wxy: w(0, 4), x(-2, -2), y(1, -3). then, rotate the triangle 270° clockwise about the origin creating the image wxy. then, reflect wxy across y = -x creating image wxy

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree clockwise rotation about the origin $(x,y)\to(y, - x)$.
For point $W(0,4)$:
$W'=(4,0)$
For point $X(-2,-2)$:
$X'=(-2,2)$
For point $Y(1,-3)$:
$Y'=(-3,-1)$

Step2: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y =-x$ is $(x,y)\to(-y,-x)$.
For point $W'(4,0)$:
$W''=(0,-4)$
For point $X'(-2,2)$:
$X''=(-2,2)$
For point $Y'(-3,-1)$:
$Y''=(1,3)$

Answer:

Pre - image points: $W(0,4),X(-2,-2),Y(1,-3)$
Image after rotation $W'(4,0),X'(-2,2),Y'(-3,-1)$
Image after reflection $W''(0,-4),X''(-2,2),Y''(1,3)$