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′(32,72) and B′(2,92) upper A prime left parenthesis Start Fraction 3 over 2 End Fraction comma Start Fraction 7 over 2 End Fraction right parenthesis and upper B prime left parenthesis 2 comma Start Fraction 9 over 2 End Fraction right parenthesis A′(6,14) and B′(−4,3) upper A prime left parenthesis 6 comma 14 right parenthesis and upper B prime left parenthesis negative 4 comma 3 right parenthesis A′(6,14) and B′(8,18) upper A prime left parenthesis 6 comma 14 right parenthesis and upper B prime left parenthesis 8 comma 18 right parenthesis A′(−6,3) and B′(8,18)

Answer 1

To find the coordinates A' and B' after dilation of the points A(3, 7) and B(4, 9) with a scale factor of 2 centered at the origin, you multiply each coordinate 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) and B′(8, 18).

So the correct response is:
**A′(6, 14) and B′(8, 18)**.