The dilation with a scale factor of 2 and a center point of the origin (0,0) will stretch the line segments AB and CD away from the origin.
For line segment AB, the dilation will result in a new line segment A'B', where the coordinates of A' and B' are twice the x-coordinates and the y-coordinates of A and B, respectively.
Coordinate of A' = (-7 * 2, 2 * 2) = (-14, 4)
Coordinate of B' = (-4 * 2, 5 * 2) = (-8, 10)
So, the new line segment A'B' can be described as A'(-14, 4) and B'(-8, 10).
For line segment CD, the coordinates of C' and D' will also be twice the x-coordinates and the y-coordinates of C and D, respectively.
Coordinate of C' = (-6 * 2, -1 * 2) = (-12, -2)
Coordinate of D' = (-3 * 2, 2 * 2) = (-6, 4)
So, the new line segment C'D' can be described as C'(-12, -2) and D'(-6, 4).
Overall, the effect of the dilation with a scale factor of 2 and a center point of the origin (0,0) will stretch the line segments AB and CD away from the origin, resulting in the new line segments A'B' and C'D'.
Line AB and line CD are parallel lines. Line AB contains the points A(-7,2) and B(-4,5) and line CD contains the points C(-6,-1) and D(-3,2). Describe the effect of the dilation with a scale factor of 2 and a center point of the dilation at the origin (0,0)
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