Question

AB has coordinates A(-15,5) and B(0,-10) . Find the coordinates of A'B' after a dilation with a scale factor of 1/5 centered at the ongin.

Answer 1

A'(-3,1) and B'(0,-2).

Step-by-step explanation:

The coordinates of A and B respectively are given as:

A(-15,5) and B(0,-10)

If the line is dilated by a scale factor of 1/5 centered at the origin:

The coordinates of A' will be:

`\begin{gathered} A^(\prime)=(1)/(5)* A=(1)/(5)(-15,5) \\ =(-(15)/(5),(5)/(5)) \\ A^(\prime)=(-3,1) \end{gathered}`

Similarly, the coordinates of B' will be:

`\begin{gathered} B^(\prime)=(1)/(5)* B=(1)/(5)(0,-10) \\ =((0)/(5),(-10)/(5)) \\ B^(\prime)=(0,-2) \end{gathered}`

Therefore, the coordinates of A'B' are A'(-3,1) and B'(0,-2).