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You need to construct a square with each side 5 cm. What tool can help you ensure that all sides and angles are correct?
- a)Ruler only
- b)Compass only
- c)Ruler and Compass
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
You need to construct a square with each side 5 cm. What tool can help...
Understanding Square Construction
To construct a square with each side measuring 5 cm, it's essential to ensure both the sides and angles are accurate. This is where the combination of tools becomes crucial.
Importance of Tools
- Ruler: This tool allows you to measure and draw straight lines of the desired length (5 cm in this case). However, it does not guarantee that the angles between the sides will be 90 degrees.
- Compass: A compass is vital for creating arcs and ensuring that all sides are equal in length. It can also help in marking 90-degree angles when used in conjunction with the ruler.
Why Ruler and Compass Together?
Using both the ruler and compass together provides several advantages:
- Ensuring Equal Lengths: The compass can be set to 5 cm and used to mark off equal lengths along each side.
- Creating Right Angles: By drawing arcs from the endpoints of the first side, you can find the precise point where the next side should start, ensuring a perfect right angle.
- Achieving Precision: The combination allows for greater accuracy in both length and angle, leading to a perfect square.
Conclusion
In conclusion, constructing a square accurately requires both the ruler and compass (option 'C'). The ruler measures straight lines, while the compass ensures equal lengths and right angles, making them essential tools for precise geometric construction.
To construct a square with each side measuring 5 cm, it's essential to ensure both the sides and angles are accurate. This is where the combination of tools becomes crucial.
Importance of Tools
- Ruler: This tool allows you to measure and draw straight lines of the desired length (5 cm in this case). However, it does not guarantee that the angles between the sides will be 90 degrees.
- Compass: A compass is vital for creating arcs and ensuring that all sides are equal in length. It can also help in marking 90-degree angles when used in conjunction with the ruler.
Why Ruler and Compass Together?
Using both the ruler and compass together provides several advantages:
- Ensuring Equal Lengths: The compass can be set to 5 cm and used to mark off equal lengths along each side.
- Creating Right Angles: By drawing arcs from the endpoints of the first side, you can find the precise point where the next side should start, ensuring a perfect right angle.
- Achieving Precision: The combination allows for greater accuracy in both length and angle, leading to a perfect square.
Conclusion
In conclusion, constructing a square accurately requires both the ruler and compass (option 'C'). The ruler measures straight lines, while the compass ensures equal lengths and right angles, making them essential tools for precise geometric construction.
Community Answer
You need to construct a square with each side 5 cm. What tool can help...
Use both a ruler and a compass to accurately construct a square.
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You need to construct a square with each side 5 cm. What tool can help you ensure that all sides and angles are correct?a)Ruler onlyb)Compass onlyc)Ruler and Compassd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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