Triangle ABC has coordinates A(1, 4); B(3, –2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection

over the x-axis. (3 point)

Are these right?

If not can you help solve step by step??

:(( I just lost my answers now. And didn't paste from my notes.

help please????

Here they are. Are they correct??

A(1,4) -> A'(1,-4)
B(3,-2) -> B'(3,2)
C(4,1) -> C'(4,-2)

reflection in x-axis takes (x,y) -> (x,-y)

you are correct.

thank you!

Yes, I can help you solve this problem step by step. In order to find the coordinates of the image A'B'C' after a reflection over the x-axis, we need to flip the y-coordinate of each point while keeping the x-coordinate the same.

Given the coordinates of triangle ABC as A(1, 4), B(3, -2), and C(4, 2), we will find the coordinates of the image A'B'C' after the reflection over the x-axis.

1. For point A(1, 4), the x-coordinate remains the same and the y-coordinate needs to be negated. So, A' will have a coordinate of (1, -4).

2. For point B(3, -2), the x-coordinate remains the same and the y-coordinate needs to be negated. So, B' will have a coordinate of (3, 2).

3. For point C(4, 2), the x-coordinate remains the same and the y-coordinate needs to be negated. So, C' will have a coordinate of (4, -2).

Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1, -4), B'(3, 2), and C'(4, -2).