Question

Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 2, centered at the origin where the endpoints are A(3,7) and B(4,9) .(1 point)

Responses

A) A′(−6,3) and B′(8,18)

B) A′(6,14) and B′(8,18)

C) A′(3/2,7/2) and B′(2,9/2)

D) A′(6,14) and B′(−4,3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates A' and B' after dilation of the line segment AB with a scale factor of 2, centered at the origin, we can use the formula:

A'(x, y) = (2 * (x - 0), 2 * (y - 0))
B'(x, y) = (2 * (x - 0), 2 * (y - 0))

Plugging in the coordinates of A and B:
A'(3, 7) = (2 * (3 - 0), 2 * (7 - 0)) = (6, 14)
B'(4, 9) = (2 * (4 - 0), 2 * (9 - 0)) = (8, 18)

Therefore, the coordinates A' and B' after dilation are:

A) A′(6, 14) and B′(8, 18)