Lines, segments, rays and angles worksheets | Worsheets library - Free Printable

Let's solve this step-by-step based on the "Lines, segments, rays and angles" worksheet.

We are given a set of images (on the left) and a list of terms (on the right). We need to match each term with the correct image by drawing a line from the term to its corresponding picture.

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Step 1: Understand the Definitions

Let’s review what each term means:

1. Line – A straight path that extends infinitely in both directions.
2. Line segment – A part of a line with two endpoints.
3. Ray – A part of a line that has one endpoint and extends infinitely in one direction.
4. Parallel lines – Lines that never meet; they are always the same distance apart.
5. Perpendicular lines – Lines that intersect at a 90-degree angle.
6. Intersecting lines (not parallel or perpendicular) – Lines that cross at any angle other than 90 degrees.
7. Right angle – An angle that measures exactly 90 degrees.
8. Acute angle – An angle less than 90 degrees.
9. Obtuse angle – An angle greater than 90 degrees but less than 180 degrees.
10. Straight angle – An angle that measures exactly 180 degrees (a straight line).

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Step 2: Analyze Each Image (Left Side)

Let’s go through each image from top to bottom and identify what it represents.

#### 1. Blue line with two endpoints
- This is a line segment (has two endpoints).
✔ Match: Line segment

#### 2. Two red arrows pointing in opposite directions, parallel
- These are parallel lines (same direction, never meeting).
✔ Match: Parallel lines

#### 3. Orange lines forming a cross (X)
- They cross at a point and form four 90-degree angles.
✔ Match: Perpendicular lines

#### 4. Green ray starting at a point and going to the right
- One endpoint, extends infinitely → Ray
✔ Match: Ray

#### 5. Red arrow pointing left and right with no endpoints shown
- Extends infinitely in both directions → Line
✔ Match: Line

#### 6. Two blue lines crossing at an angle that is not 90°
- Intersecting, but not at right angles → Intersecting lines (not parallel or perpendicular)
✔ Match: Intersecting lines (not parallel or perpendicular)

#### 7. Pink V-shaped angle
- The angle appears to be less than 90° → Acute angle
✔ Match: Acute angle

#### 8. Gray line with two arrows pointing in opposite directions
- Looks like a straight line, forming a 180° angle → Straight angle
✔ Match: Straight angle

#### 9. Brown angle that is wide (greater than 90° but less than 180°)
- This is an obtuse angle
✔ Match: Obtuse angle

#### 10. L-shaped angle with a square corner
- The square symbol indicates 90° → Right angle
✔ Match: Right angle

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Final Matching:

Now let’s pair each term with its correct image:

| Term | Image |
|------|-------|
| Line | Image 5 (red double-arrow line) |
| Line segment | Image 1 (blue with two endpoints) |
| Ray | Image 4 (green ray from a point) |
| Parallel lines | Image 2 (two red arrows side by side) |
| Perpendicular lines | Image 3 (orange cross) |
| Intersecting lines (not parallel or perpendicular) | Image 6 (blue X, not at 90°) |
| Right angle | Image 10 (L-shape with square) |
| Acute angle | Image 7 (pink V, small angle) |
| Obtuse angle | Image 9 (brown wide angle) |
| Straight angle | Image 8 (gray line with arrows on both ends) |

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Summary of Connections:

- Line → Image 5
- Line segment → Image 1
- Ray → Image 4
- Parallel lines → Image 2
- Perpendicular lines → Image 3
- Intersecting lines (not parallel or perpendicular) → Image 6
- Right angle → Image 10
- Acute angle → Image 7
- Obtuse angle → Image 9
- Straight angle → Image 8

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✔ Answer: Connect each term as listed above to match the correct image. This completes the worksheet correctly!