Question

What would the new cordinates be if Q(2,1) R(4,-4) were reflected over the x axis and y axis what would the new points be?

Answer 1

When we reflect a point across the "x-axis" it's y-coordinate has to change siginals. Therefore the image of the point is:

`A^(\prime)=(x,-y)`

Applying this to the points:

`\begin{gathered} Q^(\prime)=(2,-1) \\ R^(\prime)=(4,4) \end{gathered}`

When we reflect a point across the "y-axis" its x-coordinate has to change signals.

The image of the points are:

`\begin{gathered} Q^(\doubleprime)=(-2,1) \\ R^(\doubleprime)=(-4,-4) \end{gathered}`