Question

The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point

O (-2,0)
O (-2, 0.25)
O (2, 0.25)
O (2,0)​

Answer 1

`(-2,\, 0)`.

Explanation:

Dilate a point
`(x,\, y)` by a scale factor of
`r` with
`(a,\, b)` as the center, and the resultant point would be at
`(a + r\, (x - a),\, b + r\, (y - a))`.

In this question:

Point to dilate:
`(x,\, y) = (-8,\, 0)`.

Scale factor:
`r = 0.25`.

Center of dilation:
`(a,\, b) = (0,\, 0)`.

The resultant point would be:

`(0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))`, which simplifies to
`(-2,\, 0)`.