Question

triangle abc is rotated to create the image abc. which rule describes the transformation? (x,y)→(x, -y) (x,y)→(y, x) (x,y)→(-x, -y) (x,y)→(-y, -x)

Explanation:

Step1: Observe point - to - point mapping

Let's take a point, say point $A(1, - 2)$. Its image is $A'(-1,2)$.

Step2: Check transformation rules

For rule $(x,y)\to(x, - y)$, if $x = 1,y=-2$, we get $(1,2)$ which is wrong.
For rule $(x,y)\to(y,x)$, if $x = 1,y=-2$, we get $(-2,1)$ which is wrong.
For rule $(x,y)\to(-x,-y)$, if $x = 1,y=-2$, we get $(-1,2)$ which is correct.
For rule $(x,y)\to(-y,-x)$, if $x = 1,y=-2$, we get $(2,-1)$ which is wrong.

Answer:

C. $(x,y)\to(-x,-y)$