Question

The coordinates below represent a triangle that was delated with a scale factor of 2/3.J (-3,-12) K (-6,-15)L (-9,-12)What are the coordinates of the image point K'? A. (-9. -22.5) B. (- 4. -10) C. (9,22.5) D. (4,10)

Answer 1

In the question, we are tasked to determine the coordinates of K after being dilated with a scale factor of 2/3.

Given Point K: (-6,-15)

To be able to dilate the point, we multiply the x and y coordinates by the given scale factor.

We get,

`\text{ Point K: (-6,-15) }\rightarrow\text{ Point K': (-6)(2/3), (-15)(2/3)}`
`\text{ Point K': (-12/3),(-30,3)}`
`\text{ Point K': -4,-10}`

Therefore, the coordinates of point K' is (-4,-10).

The answer is letter B.