Question

The point A (-7Ė5) is reflected over the line x=-5, and then is reflected over the line x=2. What are the coordinates of

A'?
O (7.19)
O (7Ė5)
O (10Ė5)
O (10Ė19)

Answer 1

The coordinates of the reflection A' are (-1,-5).

Step-by-step explanation:

To find the coordinates of the reflection of point A (-7,-5) over the line x=-5, we need to find the distance between point A and the line, which is 5 units to the right of -5. This gives us a new x-coordinate of 0. The y-coordinate remains the same, so the new coordinates after the first reflection are (0,-5).

Next, to find the coordinates of the reflection after being reflected over the line x=2, we calculate the distance between the reflected point (0,-5) and the line, which is 3 units to the left of 2. This gives us a new x-coordinate of -1. The y-coordinate remains the same, so the final coordinates of A' are (-1,-5).

Learn more about Reflection of Points