Question

Write the coordinates of point A after dilation with a scale factor of 3, centered at the origin.

Answer 1

Given:

Given that the graph of the triangle ABC.

The coordinates of the triangle are A(2,-1), B(-1,1) and C(1,-2)

We need to determine the coordinates of the point A after the dilation with a scale factor of 3 centered at the origin.

Coordinates of the point A after dilation:

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

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

Thus, applying the above rule, the coordinate A(2,-1) is dilated by a scale factor of 3 about the origin, we get;

$(2,-1)\rightarrow (3(2), 3(-1))$

Simplifying, we get;

$(2,-1)\rightarrow (6,-3)$

Thus, the coordinates of point A after dilation with a scale factor of 3 centered at the origin is (6,-3)