Let's analyze the given figure step by step and solve each part of the problem.
Given Figure Analysis
The figure shows several intersecting lines, rays, and line segments. The points of intersection are labeled as \( A, B, C, D, E, F, G, M, N \). Arrows indicate directions for rays.
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Solution to Each Part
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i) Is DN a ray?
- A
ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction.
- In the figure, \( DN \) appears to extend infinitely from point \( D \) through point \( N \) in one direction.
- Therefore,
DN is a ray.
Answer: Yes
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ii) Name two parallel lines
- Parallel lines are lines that never intersect and are always the same distance apart.
- From the figure, we can observe:
- Line \( EF \) is parallel to line \( AB \).
- Line \( CD \) is parallel to line \( FG \).
Answer: \( EF \parallel AB \), \( CD \parallel FG \)
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iii) Is AB & CD perpendicular?
- Two lines are perpendicular if they intersect at a right angle (90°).
- From the figure, lines \( AB \) and \( CD \) intersect at point \( M \), and the angle formed appears to be a right angle.
- Therefore,
AB and CD are perpendicular.
Answer: Yes
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iv) How many lines are there in the above figure?
- A
line extends infinitely in both directions.
- From the figure, we can identify the following lines:
1. Line \( EF \)
2. Line \( AB \)
3. Line \( CD \)
4. Line \( FG \)
5. Line \( MN \)
Answer: 5
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v) Write down the rays in the above figure
- A
ray starts at a point and extends infinitely in one direction.
- From the figure, we can identify the following rays:
- \( DN \)
- \( NE \)
- \( NF \)
- \( MG \)
- \( MC \)
- \( MB \)
- \( MA \)
- \( ME \)
- \( MF \)
- \( MG \)
Answer: \( DN, NE, NF, MG, MC, MB, MA, ME, MF, MG \)
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vi) Name any three line segments
- A
line segment is a part of a line with two endpoints.
- From the figure, we can identify the following line segments:
1. \( DE \)
2. \( DG \)
3. \( CN \)
Answer: \( DE, DG, CN \)
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Final Answers
1.
Is DN a ray?
\(\boxed{\text{Yes}}\)
2.
Name two parallel lines:
\(\boxed{EF \parallel AB, CD \parallel FG}\)
3.
Is AB & CD perpendicular?
\(\boxed{\text{Yes}}\)
4.
How many lines are there in the above figure?
\(\boxed{5}\)
5.
Write down the rays in the above figure:
\(\boxed{DN, NE, NF, MG, MC, MB, MA, ME, MF, MG}\)
6.
Name any three line segments:
\(\boxed{DE, DG, CN}\)
Parent Tip: Review the logic above to help your child master the concept of line segment worksheet 4th grade.
