Question

A figure is dilated by a scale factor of 1/2 if the origin is set at (0,0). What is an image of a vertex located at (6, 4)?

A) (3, 2)
B) (12, 8)
C) (2, 3)
D) (8, 12)

Answer 1

The image of a vertex located at (6, 4) after a dilation with a scale factor of 1/2 from the origin will be at (3, 2).

Step-by-step explanation:

When a figure is dilated by a scale factor of 1/2 from the origin, every coordinate of the figure is multiplied by 1/2. For a vertex located at (6, 4), we apply the scale factor to each coordinate separately: 6 x 1/2 = 3 for the x-coordinate and 4 x 1/2 = 2 for the y-coordinate.

Therefore, after the dilation, the image of the vertex that was originally at (6, 4) will be at (3, 2).