Triangle XYZ has vertices point X (1, 4), point Y (3, 6) and point Z (5, -3). Find the coordinates of X', Y' and Z' after a dilation with a scale factor of 4 and a center of dilation at the origin.(3 points)

Question

X' = (
)

Y' = (
)

Z' = (
)

Answer 1

To find the coordinates of X', Y' and Z' after a dilation with a scale factor of 4 and a center of dilation at the origin, we can use the formula for dilation:

X' = (4 * (1), 4 * (4))
X' = (4, 16)

Y' = (4 * (3), 4 * (6))
Y' = (12, 24)

Z' = (4 * (5), 4 * (-3))
Z' = (20, -12)

Therefore, the coordinates of X' are (4, 16), Y' are (12, 24), and Z' are (20, -12).