Question

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

Answer 1

A (0,3)

Explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

`(x,y)\to( (1)/(2) x, (1)/(2) y)`

This implies that:

`(0,6)\to(0,3)`

`(7,12)\to(3.5,6)`

`(7,9)\to(3.5,4.5)`

`(0,12)\to(0,6)`

Therefore correct choice is (0,3)