Question

Dilate Point A(10,8) using a scale factor of 1/2, centered at the (0,2). Where is A' located?

Answer 1

To dilate a point using a scale factor and a center, find the distance between the center and the point, multiply the distance by the scale factor, and add the result to the x and y coordinates of the center.

Step-by-step explanation:

To dilate a point using a scale factor and a center, we follow these steps:

1. Find the distance between the center and the point
2. Multiply the distance by the scale factor
3. Add the result to the x-coordinate of the center to find the x-coordinate of A'
4. Add the result to the y-coordinate of the center to find the y-coordinate of A'

In this case:

1. The distance between the center (0, 2) and point A (10, 8) is 8 units horizontally and 6 units vertically
2. Multiplying the distances by the scale factor of 1/2, we get 4 units horizontally and 3 units vertically
3. The x-coordinate of A' is 0 + 4 = 4
4. The y-coordinate of A' is 2 + 3 = 5

Therefore, A' is located at (4, 5).