Answer:
The correct option is;
c. Q(5, -2), S(-3, 4)
Step-by-step explanation:
In a reflection of a preimage across the x-axis of a point with coordinates (x, y), the value and sign of the x-coordinate of the image does not change while the value of the y-coordinate of the image is the same as the value of the y-coordinate of the pre-image, but with opposite sign
Therefore, we have
The coordinate of the preimage before the reflection across the x-axis = (x, y)
The coordinate of the image after the reflection across the x-axis = (x, -y)
Therefore, for the preimage point P(5, 2) before the reflection, we have the coordinate of the image point as Q(5, -2)
Similarly, or the preimage point R(-3, -4) before the reflection, we have the coordinate of the image point as S(-3, 4).
The correct option is therefore, Q(5, -2), S(-3, 4).
