Question

1. write the coordinates of the vertices after a reflection over y axis. (4 pts)
2. c is the image of the point c after a reflection.

Explanation:

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

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

Step2: Find the coordinates of the original points

Assume the coordinates of the original points:

• Let \(D(- 4,9)\), \(E(0,7)\), \(B(6,9)\), \(C(1,10)\)

Step3: Apply the reflection rule

• For point \(D(-4,9)\): Using the rule \((x,y)\to(-x,y)\), we get \(D'(4,9)\)
• For point \(E(0,7)\): Using the rule \((x,y)\to(-x,y)\), we get \(E'(0,7)\) (since \(-0 = 0\))
• For point \(B(6,9)\): Using the rule \((x,y)\to(-x,y)\), we get \(B'(-6,9)\)
• For point \(C(1,10)\): Using the rule \((x,y)\to(-x,y)\), we get \(C'(-1,10)\)

Answer:

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