Question

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

Answer 1

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 $(x,y) \rightarrow (cx,cy)$

Therefore,

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

$(2,1) \rightarrow (2(2),2(1))$

After simplification we get,

$(2,1) \rightarrow (4,2)$

Hence,

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

Thus, Option B is the correct answer.