Question

Consider the line segment PQ shown. If a translate is performed on PQ do that the image of P is the point (-1,-1), what is the image of Q under this translation?

Answer 1

The image of the point P is given as (-1,-1).

The point P has coordinates (4,5) as shown in the graph.

Notice that the transformation done is:

`\begin{gathered} (4,5)\to(-1,-1) \\ \Rightarrow(4,5)\to(4-5,5-6) \\ \Rightarrow(x,y)\to(x-5,y-6) \end{gathered}`

Notice that the point Q is (-3,2).

Substitute the x and y coordinates into the transformation:

`\begin{gathered} (-3,2)\to(-3-5,2-6) \\ \Rightarrow(-3,2)\to(-8,-4) \end{gathered}`

Hence, the image of Q is the point (-8,-4).

The correct choice is g. (-8,-4).