Question

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

Explanation:

Step1: Determine the distance formula from a point \((x,y)\) to the \(x\) - axis

The distance from a point \((x,y)\) to the \(x\) - axis is given by \(|y|\) (the absolute value of the \(y\) - coordinate).

Step2: Find the \(y\) - coordinate of point \(B\)

From the graph, assume the coordinates of \(B\) are \((a,b)\) (by counting the grid squares, if we assume each square is 1 unit). Let's say \(B=(2, - 2)\) (counting 2 units to the right on the \(x\) - axis and 2 units down on the \(y\) - axis). Then the distance from \(B\) to the \(x\) - axis is \(|b|=|-2| = 2\).

Step3: Find the \(y\) - coordinate of point \(B'\)

Since \(B'\) is the reflection of \(B\) across the \(x\) - axis. If \(B=(2,-2)\), then \(B'=(2,2)\) (the \(x\) - coordinate remains the same and the \(y\) - coordinate changes sign). The distance from \(B'\) to the \(x\) - axis is \(|2| = 2\).

Answer:

Point	Distance
\(B'\)	\(2\)