Question

quadrilateral abcd will be reflected across the x - axis to produce abcd.
given that (x, y) describes the vertex of abcd, which coordinates describes the corresponding vertex of abcd?
a. (x, - 1, y - 1)
b. (-x, - y)
c. (x, - y)
d. (-x, y)

Explanation:

Step1: Recall the rule for reflection across the x - axis

When a point \((x,y)\) is reflected across the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign.

Step2: Apply the reflection rule

If the original vertex of quadrilateral \(ABCD\) has coordinates \((x,y)\), after reflection across the \(x\) - axis, the coordinates of the corresponding vertex of \(A'B'C'D'\) will be \((x, - y)\).

Answer:

C. \((x,-y)\)