Question

which of the following vertex for the image produced by a dilatation about the origin with scale factor of 1/2
14.24
9.14
0.6
3,3.5

Answer 1

To determine the vertices after a dilation about the origin with a scale factor of 1/2, we multiply the coordinates of each vertex by the scale factor.

Let's look at each vertex:

1) (14, 24)
The dilated coordinates would be (14 × 1/2, 24 × 1/2) = (7, 12).

2) (9, 14)
The dilated coordinates would be (9 × 1/2, 14 × 1/2) = (4.5, 7).

3) (0, 6)
The dilated coordinates would be (0 × 1/2, 6 × 1/2) = (0, 3).

4) (3, 3.5)
The dilated coordinates would be (3 × 1/2, 3.5 × 1/2) = (1.5, 1.75).

Therefore, the correct option is 1.5, 1.75.