Question

what is the rule used to transform △abc to its image? a(-3, 5), b(2, 8), c(-4, -5) and a(-3, -5), b(2, -8), c(-4, 5) a ( r_{x - axis}(x,y)=(-x,y) ) b ( r_{y = -x}(x,y)=(y,x) ), where the equation of line n is ( y=-x ) c ( r_{x - axis}(x,y)=(x,-y) ) d ( r_{y = -x}(x,y)=(-y,-x) ), where the equation of line m is ( y=-x )

Explanation:

Step1: Check transformation for point A

Original point $A(-3,5)$, transformed point $A'(-3, - 5)$. The $x$-coordinate remains the same and the $y$-coordinate changes sign.

Step2: Check for other points

For $B(2,8)$, transformed to $B'(2,-8)$ and for $C(-4,-5)$ transformed to $C'(-4,5)$. In all cases, the transformation rule $(x,y)\to(x, - y)$ is followed.

Answer:

C. $r(x,y)=(x,-y)$