Question

reflect figure abcd across the y - axis. reflect each vertex across the y - axis.

Explanation:

Step1: Find coordinates of original vertices

Let’s assume coordinates: \(A(1,4)\), \(B(3,2)\), \(C(2,1)\), \(D(1,2)\)

Step2: Apply reflection formula

The formula for reflection across \(y\) - axis is \((x,y)\to(-x,y)\)
For \(A(1,4)\): \((1,4)\to A'(-1,4)\)
For \(B(3,2)\): \((3,2)\to B'(-3,2)\)
For \(C(2,1)\): \((2,1)\to C'(-2,1)\)
For \(D(1,2)\): \((1,2)\to D'(-1,2)\)

Step3: Plot the reflected vertices

Connect \(A'\), \(B'\), \(C'\), \(D'\) to get the reflected figure.

Answer:

The reflected figure \(A'B'C'D'\) has vertices \(A'(-1,4)\), \(B'(-3,2)\), \(C'(-2,1)\), \(D'(-1,2)\)