Question

How are the coordinates of the new point found if it is dilated with a scale factor of 3?

Answer 1

Answer: the explanation is given below.

Step-by-step explanation: We are given to explain the process of finding the co-ordinates of the new point if it is dilated with a scale factor of 3.

Let the co-ordinates of the original point be (x, y).

We know that

if a point is dilated with a scale factor of d, then each co-ordinate is multiplied by d to find the new co-ordinates of the point.

So, when the point (x, y) is dilate by a scale factor of 3, then the co-ordinates of the new point will be

(x, y) ⇒ (3×x, 3×y) = (3x, 3y).

Hence explained.

Answer 2

) Here θ = 270; so, cos(270) = 0 and sin(270) = -1 Thus, (x₁,y₁) = (x*0-y*-1, x*-1+y*0) = (y,-x) [It is equivalent to 90 deg rotation in clockwise]