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A shape is dilated using (0,0) as the center of dilation. The pre-image has the following coordinates: A(4,2) B(0,3) C(1,-6) k=2. What are the coordinates of the image?

User Younes
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Final answer:

To dilate a shape using (0,0) as the center of dilation and a scale factor of k=2, multiply each coordinate of the pre-image by the scale factor.

Step-by-step explanation:

To dilate a shape using (0,0) as the center of dilation and a scale factor of k=2, you multiply each coordinate of the pre-image by the scale factor.

For point A(4,2), the x-coordinate becomes 4*2=8 and the y-coordinate becomes 2*2=4.
So, the image of point A is (8,4).

Similarly, for point B(0,3), the x-coordinate remains the same since it is already 0 and the y-coordinate becomes 3*2=6.
So, the image of point B is (0,6).

For point C(1,-6), the x-coordinate becomes 1*2=2 and the y-coordinate becomes -6*2=-12.
So, the image of point C is (2,-12).

User Cranjis
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