Question

1. what is a reflection rule that maps each triangle to its image?

a. ( c(3,8),d(5,12),e(4,6) ) and ( c(-8,-3),d(-12,-5),e(-6,-4) )

Explanation:

Step1: Analyze the relationship between original and image points

For point \(C(3,8)\) and \(C'(-8,-3)\), if we assume the reflection rule is \((x,y)\to(-y,-x)\).
Substitute \(x = 3\) and \(y = 8\) into \((x,y)\to(-y,-x)\), we get \((-8,-3)\).

Step2: Check other points

For point \(D(5,12)\), substitute \(x = 5\) and \(y=12\) into \((x,y)\to(-y,-x)\).
We have \((-12,-5)\).
For point \(E(4,6)\), substitute \(x = 4\) and \(y = 6\) into \((x,y)\to(-y,-x)\).
We get \((-6,-4)\).

Answer:

The reflection rule is \((x,y)\to(-y,-x)\)