Question

If the original lengths are multiplied by 2, what is

the new coordinate of point A? Assume that the
point at (0,0) does not change.

Answer 1

New coordinate of A will be (12, 18).

Explanation:

Coordinates of origin (0, 0) are fixed and the points A(6, 9) and B(6, 0) are multiplied by 2.

Rule for the dilation of the sides of the triangle by the scale factor of 2 about the origin is,

A(x, y) → A'[2(x, y)]

Following this rule for dilation new points will be,

A(6, 9) → A'(12, 18)

B(6, 0) → B'(12, 0)

Therefore, new coordinates of A will be (12, 18).