Question

A line containing the points (−2, 3) and (2, 3) is reflected across the x -axis. How long is the reflected line?(1 point) Responses 4 units 4 units not enough information not enough information 3 units 3 units infinitely long

Answer 1

To find the length of the line after reflection across the x-axis, we first note the coordinates of the points given:

- Point A: \((-2, 3)\)
- Point B: \((2, 3)\)

The length of the line segment between points A and B can be calculated using the distance formula, but since both points have the same y-coordinate, we can directly calculate the distance along the x-axis. The distance between the two points is:

\[
\text{Distance} = |x_2 - x_1| = |2 - (-2)| = |2 + 2| = |4| = 4 \text{ units}
\]

Now, reflecting this line across the x-axis means that we simply change the sign of the y-coordinates of both points:

- Reflect Point A: \((-2, 3) \rightarrow (-2, -3)\)
- Reflect Point B: \((2, 3) \rightarrow (2, -3)\)

The reflected line still has points \((-2, -3)\) and \((2, -3)\), and the distance between these two points remains the same because reflections do not change the distance.

Thus, the length of the reflected line is still 4 units.

So, the final answer is:

**4 units**