The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale factor.
V(6, 2), W(–2, 4), X(–3, –2), Y(3, –5), scale factor of 2
so x*2 and y*2?
e.g.
V(6,2) ----> V' (12,4)
etc
plot the points to see how that works
Multiply each of the (x, y) numbers by 2 to get the new coordinates.
To find the coordinates of the image after a dilation, we need to apply the scale factor to each coordinate of the original quadrilateral.
Here's how you can do it step by step:
1. Start with the original coordinates of the quadrilateral:
V(6, 2), W(–2, 4), X(–3, –2), Y(3, –5)
2. Apply the dilation scale factor of 2. Multiply each coordinate by the scale factor:
V' = 2 * V = (2 * 6, 2 * 2) = (12, 4)
W' = 2 * W = (2 * -2, 2 * 4) = (-4, 8)
X' = 2 * X = (2 * -3, 2 * -2) = (-6, -4)
Y' = 2 * Y = (2 * 3, 2 * -5) = (6, -10)
3. The coordinates of the image after the dilation with a scale factor of 2 are:
V'(12, 4), W'(-4, 8), X'(-6, -4), Y'(6, -10)
So, the coordinates of the image after the dilation with a scale factor of 2 are V'(12, 4), W'(-4, 8), X'(-6, -4), and Y'(6, -10).