Question

Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below

Answer 1

The coordinates of P' are (4.8,-4.8).

Explanation:

The rule of dilation
`D_(o,2.4)(x,y)` represent the dilation with scale factor 2.4 and center at origin.

If the scale factor of the dilation is k and the center is (0,0), then

`(x,y)\rightarrow (kx,ky)`

Since the scale factor is 2.4, therefore

`(x,y)\rightarrow (2.4x,2.4y)`

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are

`P(2,-2)\rightarrow P'(2.4(2),2.4(-2))`

`P(2,-2)\rightarrow P'(4.8,-4.8)`

Therefore the coordinates of P' are (4.8,-4.8).