Question

Line AB contains point A(−4, 1) and point B (−1, 3) . Find the coordinates of A′ and B′ after a dilation with a scale factor of 2 with a center point of dilation at the origin.(1 point)
Responses

A) A′ (8, −2) and B′ (2, −6)


C) A′ (−8, 2) and B′ (2, −6)

B) A′ (−5, −2) and B′ (−2, 6)


D) A′ (−8, 2) and B′ (−2, 6)

Answer 1

A) A′ (8, −2) and B′ (2, −6)

To find the coordinates of A′ and B′ after a dilation with a scale factor of 2 with the center point of dilation at the origin, we can use the following formulas:

For point A:
A′(x', y') = (2*(-4), 2*1)
A′(x', y') = (-8, 2)

For point B:
B′(x', y') = (2*(-1), 2*3)
B′(x', y') = (-2, 6)

Therefore, the coordinates are A′ (8, −2) and B′ (2, −6).