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) .

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) .

A' (6, 14) and B' (-4, 3)
A' (-6, 3) and B' (8,18)
A' (6, 14) and B' (8, 18)
A' (3/2. 7/2) and B' (2, 9/2)

Answer 1

To find the coordinates A' and B' after dilation with a scale factor of 2, we multiply the x and y coordinates of A and B by 2.

For A(3,7), the coordinates of A' would be (2*3, 2*7) = (6, 14).

For B(4,9), the coordinates of B' would be (2*4, 2*9) = (8, 18).

Therefore, the correct answer is A' (6, 14) and B' (8, 18).