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)

Options:

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 after dilation, we can multiply the coordinates of each point by the scale factor, which in this case is 2.

For point A(3,7), we multiply each coordinate by 2 to find A'(6,14).

For point B(4,9), we also multiply each coordinate by 2 to find B'(8,18).

Therefore, the correct option is A′(6,14) and B′(8,18).