Question

1. A point A(7,2) is rotated counterclockwise about the origin by 90' and its image is then translated down 2 units. If the final point is labeled as A" then which of the following would be the length of AA"?

please answer this ASAP!! answer honestly to get the points​

Answer 1

Answer: (2) Square root of 90

Explanation:

After you rotate it counterclockwise around the origin by 90 degrees, the point would be (-2,7). Since you translate it down by 2, it would then be (-2,5). The points (-2,5) and the original point (7,2) would form the hypotenuse of a right triangle and you can use the Pythagorean Theorem to find the length of the hypotenuse. The length is 9 units, the height is 3 units.

`3^2+9^2=c^2\\ 9+81=c^2\\ 90=c^2\\ √(90)=c`