Question

Where will be (2, 3) if you translated two up than did a 180 degree rotation

Answer 1

The original point (2, 3) is first translated up by 2 units to (2, 5), and then rotated 180 degrees around the origin to result in the final transformed point (-2, -5).

Step-by-step explanation:

The question involves performing two transformations on a point in the coordinate plane. First, we will translate the point (2, 3) two units up, which means we will add 2 to the y-coordinate, resulting in the point (2, 5). Then, we will perform a 180-degree rotation around the origin. To do this, we reverse the signs of both the x-coordinate and the y-coordinate of (2, 5), which gives us the final transformed point (-2, -5). This is because a 180-degree rotation is the same as taking the opposite of the coordinates, essentially flipping the location over both axes.

Step-by-Step Transformation

1. Begin with the original point (2, 3).
2. Translate up by 2: add 2 to the y-coordinate resulting in (2, 3 + 2) which equals (2, 5).
3. Rotate 180 degrees: take the opposite of both coordinates to get (-2, -5).