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 perform a dilation of a point with a scale factor centered at the origin, you multiply each coordinate of the point by the scale factor.

Given the endpoints A(3, 7) and B(4, 9) and a scale factor of 2, we can calculate the new coordinates A' and B' as follows:

1. For point A(3, 7): \[ A' = (3 \times 2, 7 \times 2) = (6, 14) \]

2. For point B(4, 9): \[ B' = (4 \times 2, 9 \times 2) = (8, 18) \]

Thus, the coordinates after dilation are:

• \( A' = (6, 14) \)
• \( B' = (8, 18) \)