Question

1. reflection across the y - axis 2) d = _ e = _ f = _ g = _

Explanation:

Step1: Recall the rule for reflection across the y - axis

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Find the coordinates of the original points

Assume \(D=( - 1,-2)\), \(E=(0,0)\), \(F=(3,1)\), \(G=(3,-1)\)

Step3: Apply the reflection rule

For point \(D\):
If \(D=(x,y)=(-1,-2)\), then \(D'=(-x,y)=(1,-2)\)
For point \(E\):
If \(E=(x,y)=(0,0)\), then \(E'=(-x,y)=(0,0)\)
For point \(F\):
If \(F=(x,y)=(3,1)\), then \(F'=(-x,y)=(-3,1)\)
For point \(G\):
If \(G=(x,y)=(3,-1)\), then \(G'=(-x,y)=(-3,-1)\)

Answer:

\(D'=(1,-2)\), \(E'=(0,0)\), \(F'=(-3,1)\), \(G'=(-3,-1)\)