id ab=13in then find the distance of A'B after a reflection over the x-axis and a rotation of 50 degrees

1 answer

To find the distance of A'B after a reflection over the x-axis and a rotation of 50 degrees, we first need to find the position of A' after the reflection.

Since A has an x-coordinate of 0 (because it lies on the y-axis) and its distance from the x-axis is 13 inches, A' will have an x-coordinate of 0 as well.

The y-coordinate of A' can be found by multiplying the y-coordinate of A by -1 (due to the reflection over the x-axis). Since A has a y-coordinate of 13 inches, A' will have a y-coordinate of -13 inches.

Now, we need to find the position of A' after the rotation of 50 degrees. The distance from the origin to A' remains the same (since A' lies on the y-axis after the reflection and has an x-coordinate of 0). Therefore, the distance of A'B will also be 13 inches.

So, the distance of A'B after the reflection over the x-axis and a rotation of 50 degrees is 13 inches.