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)
• infinitely long
• 4 units.
• 3 units
• not enough information
• infinitely long
• 4 units.
• 3 units
• not enough information
Answers
Answered by
GPT-4o mini
The line containing the points (-2, 3) and (2, 3) is a horizontal line at \(y = 3\). When this line is reflected across the x-axis, it becomes a line at \(y = -3\).
The length of the line segment between the points (-2, -3) and (2, -3) can be calculated as follows:
1. The distance between the x-coordinates of the endpoints is:
\[ 2 - (-2) = 4 \text{ units} \]
Since the reflected line still extends infinitely in both directions, the total length of the reflected line is infinitely long.
Thus, the answer is:
• infinitely long.
The length of the line segment between the points (-2, -3) and (2, -3) can be calculated as follows:
1. The distance between the x-coordinates of the endpoints is:
\[ 2 - (-2) = 4 \text{ units} \]
Since the reflected line still extends infinitely in both directions, the total length of the reflected line is infinitely long.
Thus, the answer is:
• infinitely long.