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
To find the coordinates of the image after a dilation with a scale factor of 2, we simply multiply the coordinates of each point by 2.
V(6, 2) -> V'(12, 4)
W(-2, 4) -> W'(-4, 8)
X(-3, -2) -> X'(-6, -4)
Y(3, -5) -> Y'(6, -10)
Therefore, the coordinates of the image of quadrilateral VWXY after a dilation with a scale factor of 2 are V'(12, 4), W'(-4, 8), X'(-6, -4), and Y'(6, -10).
To find the coordinates of the image after a dilation with a scale factor of 2, we need to multiply the coordinates of each point by the scale factor.
Let's calculate the new coordinates:
For point V(6, 2):
- Multiply the x-coordinate by the scale factor: 6 * 2 = 12
- Multiply the y-coordinate by the scale factor: 2 * 2 = 4
The new coordinates for V are (12, 4)
For point W(-2, 4):
- Multiply the x-coordinate by the scale factor: -2 * 2 = -4
- Multiply the y-coordinate by the scale factor: 4 * 2 = 8
The new coordinates for W are (-4, 8)
For point X(-3, -2):
- Multiply the x-coordinate by the scale factor: -3 * 2 = -6
- Multiply the y-coordinate by the scale factor: -2 * 2 = -4
The new coordinates for X are (-6, -4)
For point Y(3, -5):
- Multiply the x-coordinate by the scale factor: 3 * 2 = 6
- Multiply the y-coordinate by the scale factor: -5 * 2 = -10
The new coordinates for Y are (6, -10)
Therefore, the coordinates of the image after a dilation with a scale factor of 2 are:
V'(12, 4), W'(-4, 8), X'(-6, -4), Y'(6, -10)