Question

What is the image of the point (4, 9) after a dilation by a scale factor of 1/4?

A) (1, 2.25)
B) (4, 9)
C) (16, 36)
D) (8, 18)

Answer 1

To find the image of a point after dilation by a scale factor of 1/4, you would multiply the coordinates of the point by the scale factor. The image of (4, 9) after a dilation by a scale factor of 1/4 is A) (1, 2.25).

Step-by-step explanation:

To find the image of a point after dilation by a scale factor of 1/4, you would multiply the coordinates of the point by the scale factor. In this case, the point is (4, 9) and the scale factor is 1/4. Multiplying the x-coordinate, 4, by 1/4 gives 1, and multiplying the y-coordinate, 9, by 1/4 gives 2.25. Therefore, the image of the point (4, 9) after the dilation is (1, 2.25).