Question

1. write a general statement about how to determine the ordered pairs of the vertices of a figure if it is reflected across the x-axis
2. write a general statement about how to determine the ordered pairs of the vertices of a figure if it is reflected across the y-axis

Explanation:

Question 2

When a figure is reflected across the x - axis, for a vertex with ordered pair \((x,y)\), the x - coordinate remains the same and the y - coordinate changes its sign. So the reflected ordered pair is \((x, - y)\).

When a figure is reflected across the y - axis, for a vertex with ordered pair \((x,y)\), the y - coordinate remains the same and the x - coordinate changes its sign. So the reflected ordered pair is \((-x,y)\).

Answer:

To determine the ordered pair of a vertex \((x,y)\) of a figure after reflection across the x - axis, the x - coordinate stays the same and the y - coordinate is negated, resulting in the ordered pair \((x, - y)\).

Question 3