Math Homework Delta Math

Question

How do I rotate (-5,4) over 270 degrees and If the answer is (-5,-4) then what will the coordinates of (-5,-4) after I reflect over the X axis?

Answer 1

For 270 degrees, the rule is (x, y) --------> (y, -x)

So (-5,4) becomes (4,5)

reflecting over the x-axis, the sign of y changes

so (4,-5)

Answer 2

The relationship between (-5,4) and (-5,-4) is a single x axis reflection.

A composition of any translation or rotation can be expressed as the composition of two reflections.

A composition of reflections over two intersecting lines is equivalent to a rotation.

Reflecting about the x axis and then y=x will yield a 270 rotation, or (-4,-5) also (4,5)

Then reflecting over the x axis you would have (-4,5) or (4,-5)