Answer:
A' : (-5, -8)
B' : (-5, -1)
C' : (2, -1)
Step-by-step explanation:
A is (-5, 8), B is (-5, 1), C is (2, 1), and we want to find the points after we reflect the triangle over x.
The first thing to remember is that when points are written like (x, y), the first number, x, is how many units you go right or left and the second number, y, is how many units you go up or down. The second thing to keep in mind is that the x-axis is the horizontal one that runs from left to right.
Now, just think about the information we have: if we want to flip a point like (-5, 8) over the x-axis, all we have to do is make the 8 negative. This is because the 8 is how far up the point is, so to make it flip down over the x-axis, we just change the sign. The -5 does NOT change because it's the x-value, which is how far right/left the point is. Does that make sense?
If we do this for the other two, (-5, 1) becomes (-5, -1) and (2, 1) becomes (2, -1).
(The apostrophe-like symbol the problem uses--like A', B', C'--just denotes that those are the resulting points after the reflection.)
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