What point is the reflection if x=-1? The pre image is (-5,3)

Answer 1

To find the reflection of the point (−5, 3) over the line x = −1, you need to determine how far the original point is from the line and then reflect it the same distance on the opposite side.

1. Calculate the distance from (−5, 3) to x = −1:
2. Distance is ∣−5 − (−1)∣ = 4.
3. Reflect the point over the line x = −1:
4. Move the point 4 units to the right of x = −1.
5. New x-coordinate: −1 + 4 = 3
6. The y-coordinate remains unchanged.

So, the reflected point is (3, 3).

Hope this was helpful.