Chapter 4.5, Problem 66STP

To determine

Find the coordinates of the vertices of the image after a reflection over $y-axis$ .

Answer to Problem 66STP

  $\left(1,6\right),\left(-1,5\right),\left(2,-1\right),\left(4,0\right)$

Explanation of Solution

Given information:

Rectangle $ABCD$ with vertices $A\left(-1,6\right),B\left(1,5\right),C\left(-2,-1\right)andD\left(-4,0\right),y-axis$ .

Calculation:

Here, we have to find the coordinates of the vertices of image after the reflection across $y-axis$ :

  $\begin{array}{l}M\left(x,y\right)\to \left(-x,y\right)\\ A\left(-1,6\right)\to \left(1,6\right)\\ B\left(1,5\right)\to \left(-1,5\right)\\ C\left(-2,-1\right)\to \left(2,-1\right)\\ D\left(-4,0\right)\to \left(4,0\right)\end{array}$

Hence, the required answers are $\left(1,6\right),\left(-1,5\right),\left(2,-1\right),\left(4,0\right)$ .