Math Problem Statement
Solution
The question asks which of the following can be drawn using a pair of compasses:
- Square
- Circle
- Straight line
- Arc
- Angle
Answer:
- Circle: A compass is specifically designed to draw circles by fixing one point and rotating the other arm to create a perfect arc or full circle.
- Arc: An arc is simply a part of a circle, so a compass can easily draw arcs.
- Angle: While you can't directly draw an angle with a compass, you can construct angles by using intersecting arcs.
Items that cannot be drawn with just a compass:
- Square: A square requires straight lines and right angles, which need additional tools like a straightedge.
- Straight line: A compass alone cannot draw a straight line.
Thus, the correct answers would be Circle, Arc, and possibly Angle if considering its construction.
Would you like a detailed explanation of how these constructions are done with a compass?
Related questions:
- How can you draw a perfect square using both a compass and a straightedge?
- What are the steps to construct an equilateral triangle using a compass?
- How do you bisect an angle using only a compass?
- Can a compass be used to draw parallel lines? If yes, how?
- What is the process of constructing a perpendicular bisector with a compass?
Tip: A compass is a powerful tool in geometry for creating precise circular shapes, arcs, and helping in the construction of various geometric figures.
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Math Problem Analysis
Mathematical Concepts
Geometry
Compass Constructions
Basic Shapes
Formulas
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Theorems
Compass constructions
Arc and Circle Properties
Angle Construction
Suitable Grade Level
Grades 5-7
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