Line AB

Question

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)
Responses

A′ (5, 10)
and B′ (10, 5)
upper A prime left parenthesis 5 comma 10 right parenthesis and upper B prime left parenthesis 10 comma 5 right parenthesis

A′ (5, 10)
and B′ (−2, −1)
upper A prime left parenthesis 5 comma 10 right parenthesis and upper B prime left parenthesis negative 2 comma negative 1 right parenthesis

A′ (5, 10)
and B′ (−10, −5)
upper A prime left parenthesis 5 comma 10 right parenthesis and upper B prime left parenthesis negative 10 comma negative 5 right parenthesis

A′ (1, 2)
and B′ (−10, −5)

Answer 1

To find the coordinates of points A′ and B′ after a dilation with a scale factor of 5 and a center of dilation at the origin (0, 0), we 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)

Therefore, the correct response is: A′ (5, 10) and B′ (−10, −5).