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

Answer:

A (0,3)

Step-by-step 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:

$(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)$

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)