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VladimirAG [237]
3 years ago
9

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

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

The scale factor is 3.

Step-by-step 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\sqrt{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}} = \sqrt{5} units.

Hence, the scale factor is \frac{OA}{OA'} = \frac{3\sqrt{5} }{\sqrt{5}} = 3. (Answer)

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