Question

Suppose the line segment whose endpoints are H(5,0) and I(-6,-3) is reflected over the y-axis. What are the coordinates H’I’?

Answer 1

H' = (-5, 0)

I' = (6, -3)

Explanation:

Since you are reflecting the line segment across the y- axis, the rule would be (x, y) ---> (-x, y). So, applying the rule to H first, all you would need to do is change the sign of positive 5 to -5. And since the rule doesn't have the y- value change, it will stay the same as 0. So H' = (-5, 0)

Then onto I', you would apply the same rule to just the x- value, since according to the rule, the y-value doesn't get changed. So that would be turning -6 into a positive 6, this is because a negative × a negative = a positive.