Question

Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at (1,4) (4,5) and (2,0)

Answer 1

To find the dilated coordinates of a triangle with a scale factor of 3, multiply each coordinate of the vertices by 3. The new vertices will be (3, 12), (12, 15), and (6, 0).

Step-by-step explanation:

To find the coordinates for the dilation of a triangle with a scale factor of 3, you need to multiply each coordinate by the scale factor. The vertices of the original triangle are (1,4), (4,5), and (2,0). Let's calculate the dilated vertices one by one.

1. Multiply the coordinates of the first vertex by the scale factor: (1*3, 4*3) = (3, 12)
2. Multiply the coordinates of the second vertex by the scale factor: (4*3, 5*3) = (12, 15)
3. Multiply the coordinates of the third vertex by the scale factor: (2*3, 0*3) = (6, 0)

The dilated triangle will have vertices at (3, 12), (12, 15), and (6, 0).