Triangle abc is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of image point c’? Please help

Given:

The triangle is ΔABC.

The coordinates of the ΔABC are A(1,1), B(1.5,3) and C(2,1).

To find the the coordinates of the point C after the dilation with a scale factor of 2 centered at the origin.

Formula:

The coordinate to dilate a factor of c from the origin is given by

Therefore,

Applying the above rule for C(2,1) is dilated by scale factor of 2 centered at origin we get,

After simplification we get,

Hence,

The coordinate of C after dilation is (4,2).

Thus, Option B is the correct answer.

answ5

step-by-step explanation:

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