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Find the image vertices for a dilation with center (0,0)
and a scale factor of 4.
Quadrilateral with vertices at A left parenthesis negative 3 comma 1 right parenthesis, B left parenthesis 4 comma negative 3 right parenthesis, C left parenthesis 2 comma 3 right parenthesis, D left parenthesis negative 1 comma 4 right parenthesis.
(4 points)
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To find the image vertices after a dilation with center (0,0) and a scale factor of 4, we can multiply the coordinates of each vertex by the scale factor.
Point A:
x-coordinate of A after dilation = -3 * 4 = -12
y-coordinate of A after dilation = 1 * 4 = 4
Therefore, the image vertex of A is (-12, 4).
Point B:
x-coordinate of B after dilation = 4 * 4 = 16
y-coordinate of B after dilation = -3 * 4 = -12
Therefore, the image vertex of B is (16, -12).
Point C:
x-coordinate of C after dilation = 2 * 4 = 8
y-coordinate of C after dilation = 3 * 4 = 12
Therefore, the image vertex of C is (8, 12).
Point D:
x-coordinate of D after dilation = -1 * 4 = -4
y-coordinate of D after dilation = 4 * 4 = 16
Therefore, the image vertex of D is (-4, 16).
So, the image vertices for the given quadrilateral after the dilation are (-12, 4), (16, -12), (8, 12), and (-4, 16).
To find the image vertices for a dilation with a center at (0,0) and a scale factor of 4, we need to multiply the coordinates of each vertex of the original quadrilateral by the scale factor.
Given the original quadrilateral with vertices:
A(-3, 1)
B(4, -3)
C(2, 3)
D(-1, 4)
To find the image vertices, we multiply each coordinate by the scale factor:
For vertex A:
x-coordinate of A' = -3 * 4 = -12
y-coordinate of A' = 1 * 4 = 4
So, the image vertex for A is A'(-12, 4).
For vertex B:
x-coordinate of B' = 4 * 4 = 16
y-coordinate of B' = -3 * 4 = -12
So, the image vertex for B is B'(16, -12).
For vertex C:
x-coordinate of C' = 2 * 4 = 8
y-coordinate of C' = 3 * 4 = 12
So, the image vertex for C is C'(8, 12).
For vertex D:
x-coordinate of D' = -1 * 4 = -4
y-coordinate of D' = 4 * 4 = 16
So, the image vertex for D is D'(-4, 16).
Therefore, the image vertices of the given quadrilateral under the dilation with a center at (0,0) and a scale factor of 4 are:
A'(-12, 4)
B'(16, -12)
C'(8, 12)
D'(-4, 16)