Question

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

Answer 1

Answer:

$(-2,\, 0)$.

Step-by-step 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 $(-2,\, 0)$.