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)

Answer 1

To find the coordinates of the points A' and B' after dilating the points A(3, 7) and B(4, 9) with a scale factor of 2, centered at the origin, we will multiply each coordinate of the points by the scale factor.

For point A(3, 7):

• A' = (3 * 2, 7 * 2) = (6, 14)

For point B(4, 9):

• B' = (4 * 2, 9 * 2) = (8, 18)

Thus, the coordinates after dilation are:

• A' = (6, 14)
• B' = (8, 18)