Question

The reflection of point S across the y-axis is point ___. The reflection of point Q across the x-axis and the y-axis is point ____, whose coordinates are ( __ , __ ).

Answer 1

Answer:

The reflection of point S across the y-axis is point   V   . The reflection of point Q across the x-axis and the y-axis is point   V   , whose coordinates are (   -5   ,   -5.5   ).

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Explanation:

Point S is exactly 5 units away from the vertical y axis. Move from point S(5,-5.5) to the location (0,-5.5); ie move 5 units to the left. Then move another 5 units to the left to land on point V(5, -5.5)

Points V and S are the same distance away from the mirror line.

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Reflecting point Q over the x axis lands us on point S. This time we move down 5.5 units to get to the x axis. Then move another 5.5 units to arrive at point S. As discussed above, point S then will reflect over the y axis to get to point V.

Side note: Combining two reflections produces a rotation. So effectively, going from Q to V is a rotation of 180 degrees.