Question

The coordinates of the vertices of a quadrilateral are J(-6, 8), K(-3, 8), L(-5, 2), and M(-9, 5). Quadrilateral JKLM is reflected across the x-axis to create quadrilateral J'K'L'M. Which rule describes this transformation?

a) (x, y) --> (y, -x)
b) (x, y) --> (x, -y)
c) (x, y) --> (-y, x)
d) (x, y) --> (-x, y)

Answer 1

The correct rule to reflect a quadrilateral across the x-axis is (x, y) --> (x, -y), keeping the x-coordinates the same while reversing the sign of the y-coordinates.

Step-by-step explanation:

The reflection of a quadrilateral across the x-axis can be described by a transformation rule that flips the quadrilateral vertically but maintains its horizontal position. This means that the x-coordinates of the vertices remain unchanged, while the y-coordinates are multiplied by -1. For quadrilateral JKLM with vertices J(-6, 8), K(-3, 8), L(-5, 2), and M(-9, 5), the correct transformation rule that represents a reflection over the x-axis is (x, y) --> (x, -y).