Question

In a coordinate plane, quadlateral PQRS has vertices P(0,7), Q(4,6), R(2,3), S(-1,3). Find the coordinates of the vertices of the image after each reflection.Reflection across the line y = x

Answer 1

First we need to draw the graph

Then reflect with respect to the X axis

which is basically changing the sign of the Y values ​​for each point

So, we can calculate the new points

`\begin{gathered} P^(\prime)(0,-7) \\ Q^(\prime)(4,-6) \\ R^(\prime)(2,-3) \\ S^(\prime)(-1,-3) \end{gathered}`