Question

The triangle has vertices T(3,-1), U(6,-4), V(-2,2). What is the coordinate of V after a dilation with a scale factor of 4?

a) (-8, 8)
b) (-4, 4)
c) (-16, 16)
d) (-10, 10)

Answer 1

After a dilation with a scale factor of 4, the new coordinates of V are (-8, 8). The coordinates are found by multiplying the original coordinates by the scale factor.

Step-by-step explanation:

To find the new coordinates of V after a dilation with a scale factor of 4, you multiply each coordinate of V by the scale factor. The original coordinates of V are (-2, 2). Multiplying each by 4, we get:

For the x-coordinate: -2 × 4 = -8

For the y-coordinate: 2 × 4 = 8

Therefore, the new coordinates of V are (-8, 8).