Question

For part B how do I find the coordinate for A double prime after the rotation

Answer 1

When we rotate a figure 90° around a point, we need to check the difference in x and y coordinates between the point and the center of rotation.

Then these differences will swap among themselves.

The difference in x-coordinate between A and B is 1, so now this difference will be the difference in y-coordinate.

The difference in y-coordinate between A and B is 7, so now this difference will be the difference in y-coordinate.

So the coordinates of A'' will be:

`B(-2,-1)\to A^(\doubleprime)(-2+1,-1+7)=A^(\doubleprime)(-1,6)`

Also, the point will be in the third quadrant, so all coordinates are negative:

`A^(\doubleprime)(-1,6)\to A^(\doubleprime)(-1,-6)`

Therefore the answer is C.