Question

1. write the coordinates of the vertices after a reflection over y axis. (4 pts) d___ e_ b_ c___ 4) c is the image of the point c after a reflection. c(7, 3)→c(-7, 3) over which axis was the point c reflected? (2 points)

Explanation:

Step1: Find coordinates of original points

Assume original points \(D(- 4,7)\), \(E(0,7)\), \(B(6,9)\), \(C(1,10)\)

Step2: Apply reflection over y - axis formula

The formula for reflection over the \(y\) - axis is \((x,y)\to(-x,y)\)
For point \(D(-4,7)\):
\(D'=(4,7)\)
For point \(E(0,7)\):
\(E'=(0,7)\)
For point \(B(6,9)\):
\(B'=(-6,9)\)
For point \(C(1,10)\):
\(C'=(-1,10)\)

Step3: Determine reflection axis for \(C(7,3)\to C'(-7,3)\)

Use reflection formula \((x,y)\to(-x,y)\) (reflection over \(y\) - axis)

Answer:

1. \(D'(4,7)\), \(E'(0,7)\), \(B'(-6,9)\), \(C'(-1,10)\)
2. \(y\) - axis