Question

Line AB contains point A(1, 2) and point B (−2, −1) . Find the coordinates of A′ and B′ after a dilation with a scale factor of 5 with a center point of dilation at the origin.(1 point)

A′ (5, 10) and B′ (−10, −5)
A′ (5, 10) and B′ (−2, −1)
A′ (1, 2) and B′ (−10, −5
A′ (5, 10) and B′ (10, 5)

Answer 1

To find the coordinates of points A' and B' after a dilation centered at the origin with a scale factor of 5, you multiply the coordinates of each point by the scale factor.

For point A(1, 2):
- A' = (1 * 5, 2 * 5) = (5, 10)

For point B(−2, −1):
- B' = (−2 * 5, −1 * 5) = (−10, −5)

So the coordinates of A' and B' after the dilation are A' (5, 10) and B' (−10, −5).

The correct answer is:
**A′ (5, 10) and B′ (−10, −5)**.