The problem asks us to mark the given line segments in pairs A, B, and C to indicate the following: - Pair A consists of parallel lines. - Pair B consists of perpendicular lines. - Pair C consists of line segments of the same length.
2025/3/24
1. Problem Description
The problem asks us to mark the given line segments in pairs A, B, and C to indicate the following:
- Pair A consists of parallel lines.
- Pair B consists of perpendicular lines.
- Pair C consists of line segments of the same length.
2. Solution Steps
- Pair A: Parallel lines are lines that never intersect. To indicate that the two lines in pair A are parallel, we can draw arrows on each line pointing in the same direction.
- Pair B: Perpendicular lines intersect at a right angle (90 degrees). To indicate that the two lines in pair B are perpendicular, we should draw a small square at the intersection point. However, the given figure in Pair B already shows two lines that intersect. The problem states they are perpendicular, implying the angle where they meet is 90 degrees. We draw a small square in the angle to indicate it is a right angle.
- Pair C: Line segments of the same length are congruent. To indicate that the line segments in pair C have the same length, we can draw tick marks (short line segments) across each line segment. If we put one tick mark on each line, this means the lines are equal in length.
3. Final Answer
Pair A: Draw arrows on each line segment pointing in the same direction.
Pair B: Draw a small square at the intersection of the two line segments.
Pair C: Draw one tick mark on each line segment.