Question

1. reflect point b across the x - axis.
2. what is the distance from each point to the x - axis?

point\tdistance
b\t?
b\t?

Explanation:

Step1: Determine the y-coordinate of Point B

Looking at the graph, Point B is below the x-axis. Let's assume each grid square has a side length of 1. The y-coordinate of Point B is -3 (since it's 3 units below the x-axis). The distance from a point \((x, y)\) to the x-axis is the absolute value of its y-coordinate, so \(|y|\). For Point B, \(y = -3\), so distance is \(|-3| = 3\).

Step2: Determine the y-coordinate of Point B'

Point B' is the reflection of Point B across the x-axis. The reflection of a point \((x, y)\) across the x-axis is \((x, -y)\). So if Point B is \((x, -3)\), then Point B' is \((x, 3)\). The y-coordinate of Point B' is 3. The distance from Point B' to the x-axis is \(|3| = 3\).

Answer:

For Point B, the distance is 3. For Point B', the distance is 3.