Educational worksheet for practicing identification and drawing of lines, rays, and segments in geometry.

Problem Analysis:

The worksheet focuses on understanding and drawing different types of geometric figures: lines, rays, and line segments. Let's break down each section and solve the problems step by step.

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Section 1: Label the line, ray, and segment

#### Given Figures:
1. A figure with two endpoints.
2. A figure with arrows on both ends.
3. A figure with one endpoint and an arrow on the other end.

#### Solution:
- Figure 1: This has two endpoints, so it is a line segment.
- Figure 2: This has arrows on both ends, indicating it extends infinitely in both directions, so it is a line.
- Figure 3: This has one endpoint and an arrow on the other end, indicating it extends infinitely in one direction, so it is a ray.

#### Labels:
1. Line segment
2. Line
3. Ray

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Section 2: Draw the rays, segments, and lines

#### Instructions:
Draw the following:
1. Ray BE
2. Line segment NO
3. Line AT

#### Solution:
1. Ray BE: Start at point B and draw a straight line extending infinitely in one direction toward point E. Place an arrow at the end near E.
2. Line segment NO: Draw a straight line between points N and O, and place endpoints (dots) at both N and O.
3. Line AT: Draw a straight line between points A and T, and extend it infinitely in both directions by placing arrows at both ends.

#### Drawing Instructions:
- For Ray BE: Place point B, draw a line extending from B to E, and add an arrow at the E end.
- For Line segment NO: Place points N and O, draw a straight line connecting them, and add dots at both ends.
- For Line AT: Place points A and T, draw a straight line connecting them, and add arrows at both ends.

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Section 3: Draw line segments and lines

#### Instructions:
1. Draw parallel lines AB and GE.
2. Draw parallel line segments PT and HI.
3. Draw perpendicular lines CJ and ST.
4. Draw perpendicular line segments QP and FD.

#### Solution:
1. Parallel lines AB and GE:
- Draw two straight lines labeled AB and GE such that they never intersect and are equidistant throughout their lengths. Add arrows at both ends of each line to indicate they are infinite.

2. Parallel line segments PT and HI:
- Draw two straight line segments labeled PT and HI such that they are parallel to each other. Add endpoints (dots) at P, T, H, and I.

3. Perpendicular lines CJ and ST:
- Draw two straight lines labeled CJ and ST such that they intersect at a right angle (90 degrees). Add arrows at both ends of each line to indicate they are infinite.

4. Perpendicular line segments QP and FD:
- Draw two straight line segments labeled QP and FD such that they intersect at a right angle (90 degrees). Add endpoints (dots) at Q, P, F, and D.

#### Drawing Instructions:
- For Parallel lines AB and GE: Draw two parallel lines with arrows at both ends.
- For Parallel line segments PT and HI: Draw two parallel line segments with endpoints.
- For Perpendicular lines CJ and ST: Draw two lines intersecting at a right angle with arrows at both ends.
- For Perpendicular line segments QP and FD: Draw two line segments intersecting at a right angle with endpoints.

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Final Answer:

1. Section 1 Labels:
- 1. Line segment
- 2. Line
- 3. Ray

2. Section 2 Drawings:
- Ray BE: Start at B, extend to E with an arrow at E.
- Line segment NO: Connect N and O with endpoints.
- Line AT: Connect A and T with arrows at both ends.

3. Section 3 Drawings:
- Parallel lines AB and GE: Two parallel lines with arrows.
- Parallel line segments PT and HI: Two parallel line segments with endpoints.
- Perpendicular lines CJ and ST: Two lines intersecting at 90° with arrows.
- Perpendicular line segments QP and FD: Two line segments intersecting at 90° with endpoints.

Boxed Final Answer:
\[
\boxed{
\text{1. Line segment, Line, Ray}
}
\]