Question

Which of the following sets of points would be the result of a reflection of SM over the x-axis?A. T(1, 3), P(5, 1)B. J(3, 1), V(1, 5)C. N(-1, -3), H(-5, -1)D. K(-3, 1), C(-1, 5)

Answer 1

Explanation

A reflection over the x-axis is given by the following transformation:

$(x,y)\rightarrow(x,-y)$

So in order to reflect a point over the x-axis we just nedd to multiply its y-value by -1.

In the picture we have the segment SM given by the points S=(-5,1) and M=(-1,3). Then the reflected points are given by:

$\begin{gathered} (-5,1)\rightarrow(-5,-1) \\ (-1,3)\rightarrow(-1,-3) \end{gathered}$Answer

Then the answer is option C.