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Question

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated through a scale factor of 2 with the origin as the center of dilation, what are the coordinates of the vertices of the image?


A

(4,0), (6, 2) and (4,-10)

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B

(-4,0), (6, -2) and (-4,-10)

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C

(4,0), (6, -2) and (-4,-10)

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Solution

The correct option is C

(4,0), (6, -2) and (-4,-10)


(2,0), (3, -1) and (-2,-5) after dilation with a scale factor 2 we get, (4,0), (6, -2) and (-4,-10) as new coordinates of triangle image. For this we need to multiply each coordinate by 2 to get new coordinate.


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