Class 6 Exam > Class 6 Questions > When constructing a 30° angle, what is the fi...
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When constructing a 30° angle, what is the first step?
- a)Measure with a protractor
- b)Use a compass to create arcs
- c)Construct a 60° angle
- d)Draw a straight line
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When constructing a 30° angle, what is the first step?a) Measure with ...
Understanding the Construction of a 30° Angle
When constructing a 30° angle, the first step involves creating a 60° angle. This method is based on the principle that a 30° angle can be derived from a 60° angle, which is easier to construct using basic geometric tools.
Steps to Construct a 30° Angle
1. Draw a Straight Line
- Start by drawing a horizontal line using a ruler. This will serve as the base for your angle.
2. Construct a 60° Angle
- Place the compass point on one end of the line.
- Draw an arc that intersects the line.
- Keeping the same compass width, place the compass point on the intersection and draw another arc above the line.
- Without changing the compass width, place the compass point where the two arcs intersect and draw another arc to form the 60° angle.
3. Bisect the 60° Angle
- To create a 30° angle, you need to bisect the 60° angle you just formed.
- Use your compass to find the midpoint of the angle's arc and draw a line from the vertex to this midpoint.
Conclusion
By first constructing a 60° angle and then bisecting it, you can accurately create a 30° angle. This method is efficient and ensures precision in geometric constructions, making it the correct first step in this process.
When constructing a 30° angle, the first step involves creating a 60° angle. This method is based on the principle that a 30° angle can be derived from a 60° angle, which is easier to construct using basic geometric tools.
Steps to Construct a 30° Angle
1. Draw a Straight Line
- Start by drawing a horizontal line using a ruler. This will serve as the base for your angle.
2. Construct a 60° Angle
- Place the compass point on one end of the line.
- Draw an arc that intersects the line.
- Keeping the same compass width, place the compass point on the intersection and draw another arc above the line.
- Without changing the compass width, place the compass point where the two arcs intersect and draw another arc to form the 60° angle.
3. Bisect the 60° Angle
- To create a 30° angle, you need to bisect the 60° angle you just formed.
- Use your compass to find the midpoint of the angle's arc and draw a line from the vertex to this midpoint.
Conclusion
By first constructing a 60° angle and then bisecting it, you can accurately create a 30° angle. This method is efficient and ensures precision in geometric constructions, making it the correct first step in this process.
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When constructing a 30° angle, what is the first step?a) Measure with ...
The first step in constructing a 30° angle is to construct a 60° angle and then bisect it. This method effectively creates angles of standard magnitude using simple geometric tools, illustrating the relationship between different angle measures in geometry.
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When constructing a 30° angle, what is the first step?a) Measure with a protractorb) Use a compass to create arcsc) Construct a 60° angled) Draw a straight lineCorrect answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about When constructing a 30° angle, what is the first step?a) Measure with a protractorb) Use a compass to create arcsc) Construct a 60° angled) Draw a straight lineCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When constructing a 30° angle, what is the first step?a) Measure with a protractorb) Use a compass to create arcsc) Construct a 60° angled) Draw a straight lineCorrect answer is option 'C'. Can you explain this answer?.
When constructing a 30° angle, what is the first step?a) Measure with a protractorb) Use a compass to create arcsc) Construct a 60° angled) Draw a straight lineCorrect answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about When constructing a 30° angle, what is the first step?a) Measure with a protractorb) Use a compass to create arcsc) Construct a 60° angled) Draw a straight lineCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When constructing a 30° angle, what is the first step?a) Measure with a protractorb) Use a compass to create arcsc) Construct a 60° angled) Draw a straight lineCorrect answer is option 'C'. Can you explain this answer?.
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