Question

What are the coordinates of the image of the point -3,6 after a dilation with a center of 0,0 and a scale factor of 1/3. URGENT TIMED QUIZ

Answer 1

The correct answer option is (-1, 2).

Explanation:

We are given a point (-3,6) and we are supposed to dilate it to a scale factor of
`(1)/(3)` with reference to the origin or center i.e. point (0, 0).

Since the reference point here is the origin, so we simply need to multiply the coordinates of the given point by
`(1)/(3)` in order to find the coordinates of its image.

-3 --->
`-3` ×
`(1)/(3)`
`= -1`

6 --->
`6` ×
`(1)/(3)`
`= 2`

Therefore, the coordinates of the image are (-1, 2).