Find the coordinates of quadrilateral V'W'X'Y' after a dilation with a scale factor of 2.
V(6,2) W( -2,4) X(-3,-2) Y(3,-5) scale factor of 2.
just multiply all the values by 2
ok thanks hope your right!!
To find the coordinates of quadrilateral V'W'X'Y' after a dilation with a scale factor of 2, we can use the following formula:
V'(x, y) = (scale factor * x-coordinate of V, scale factor * y-coordinate of V)
Let's apply this formula to each vertex:
For V(6,2):
V'(x, y) = (2 * 6, 2 * 2)
= (12, 4)
For W(-2,4):
W'(x, y) = (2 * -2, 2 * 4)
= (-4, 8)
For X(-3,-2):
X'(x, y) = (2 * -3, 2 * -2)
= (-6, -4)
For Y(3,-5):
Y'(x, y) = (2 * 3, 2 * -5)
= (6, -10)
Therefore, the coordinates of quadrilateral V'W'X'Y' after a dilation with a scale factor of 2 are:
V'(12, 4)
W'(-4, 8)
X'(-6, -4)
Y'(6, -10)
To find the coordinates of the quadrilateral V'W'X'Y' after a dilation with a scale factor of 2, we can multiply the coordinates of each vertex by the scale factor.
Given that the scale factor is 2, we can multiply each coordinate of each vertex by 2 to find the new coordinates.
Let's go through each vertex one by one:
For vertex V(6,2):
The new x-coordinate (V') will be 2 times the original x-coordinate: 2 * 6 = 12
The new y-coordinate (V') will be 2 times the original y-coordinate: 2 * 2 = 4
So, V' is located at (12, 4).
For vertex W( -2,4):
The new x-coordinate (W') will be 2 times the original x-coordinate: 2 * (-2) = -4
The new y-coordinate (W') will be 2 times the original y-coordinate: 2 * 4 = 8
So, W' is located at (-4, 8).
For vertex X(-3,-2):
The new x-coordinate (X') will be 2 times the original x-coordinate: 2 * (-3) = -6
The new y-coordinate (X') will be 2 times the original y-coordinate: 2 * (-2) = -4
So, X' is located at (-6, -4).
For vertex Y(3,-5):
The new x-coordinate (Y') will be 2 times the original x-coordinate: 2 * 3 = 6
The new y-coordinate (Y') will be 2 times the original y-coordinate: 2 * (-5) = -10
So, Y' is located at (6, -10).
Therefore, the coordinates of the quadrilateral V'W'X'Y' after a dilation with a scale factor of 2 are:
V'(12, 4)
W'(-4, 8)
X'(-6, -4)
Y'(6, -10)