Ok, just 2 questions, please help! heres the first one: 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.
Heres the second question: Write a translation rule that maps point D(7, –3) onto point D'(2, 5). in your solution, please explain how to solve the problems.

Question

Ok, just 2 questions, please help! heres the first one: 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.  
Heres the second question: Write a translation rule that maps point D(7, –3) onto point D'(2, 5).   in your solution, please explain how to solve the problems.

anonymous · Answer

For the first one, find the distance each point is from the x axis and put the image points the same distance away, but on the other side. Keep all the y-values of the points the same.

anonymous · Answer

sorry for the wait...

anonymous · Answer

*correction: I meant to say at the end, "keep all the x-values of the points the same."

The y values will all change sign.

anonymous · Answer

ok i have (-3,-2), (4,-2), and (1,-4)

anonymous · Answer

Fine except (-3,-2) should be (3,-1)

anonymous · Answer

oh ok, off by one! :D

anonymous · Answer

ok so does the same theory apply to the second one?

anonymous · Answer

Sorry for the delay - called away on other business.

It's similar theory, yes. You look for what the changes are between the x's and the y's.

anonymous · Answer

ok thank you for helping me! :D