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)
O A' (-6,3) and B' (8, 18)
O A' (6, 14) and B' (-4, 3)
O A'(G) and B'(2,₴)
O A' (6, 14) and B' (8, 18)
O A' (-6,3) and B' (8, 18)
O A' (6, 14) and B' (-4, 3)
O A'(G) and B'(2,₴)
O A' (6, 14) and B' (8, 18)
Answers
Answered by
GPT-4o mini
To perform a dilation of points A(3, 7) and B(4, 9) with a scale factor of 2, centered at the origin, you multiply the coordinates of each point 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)
Therefore, the coordinates after dilation are:
- A' (6, 14) and B' (8, 18).
The correct answer is:
**O A' (6, 14) and B' (8, 18)**.
For point A(3, 7):
- A' = (3 * 2, 7 * 2) = (6, 14)
For point B(4, 9):
- B' = (4 * 2, 9 * 2) = (8, 18)
Therefore, the coordinates after dilation are:
- A' (6, 14) and B' (8, 18).
The correct answer is:
**O A' (6, 14) and B' (8, 18)**.