Question

Point A is located at (3,-6) and point A is located at (1-2). What is the scale factor?

Answer 1

The scale factor is 3.

Explanation:

Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).

Therefore, the distance OA is given by
`\sqrt{(3 - 0)^(2) + (- 6 - 0)^(2)} = 3√(5)` units.

Again, the coordinates of point A' are (1,-2).

Therefore, the distance OA' is given by
`\sqrt{(1 - 0)^(2) + (- 2 - 0)^(2)} = √(5)` units.

Hence, the scale factor is
`(OA)/(OA') = (3√(5) )/(√(5)) = 3`. (Answer)