One can find an angle bisector using a compass and straightedge construction or a straightedge and tracing paper construction.A.TrueB.False
Question
One can find an angle bisector using a compass and straightedge construction or a straightedge and tracing paper construction.
- A. True
- B. False
Solution
Determine the Correct Answer
-
Understanding Angle Bisectors
An angle bisector is a line or ray that splits an angle into two congruent angles, and it can be constructed using geometric tools. -
Methods of Construction
The question mentions two methods:- Compass and Straightedge Construction: This is a traditional method used in classical geometry to create various geometric constructions, including angle bisectors.
- Straightedge and Tracing Paper Construction: This is a less conventional method but can still result in finding an angle bisector through careful tracing.
-
Evaluating the Statement
The statement claims that it is possible to find an angle bisector using the mentioned methods. -
Conclusion
Both methods provided are valid and can indeed be used to construct an angle bisector.
Final Answer
A. True
Similar Questions
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The ancient Greeks could bisect an angle using only a compass and straightedge.
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The ancient Greeks required a straightedge and protractor to construct a perpendicular bisector for a given line segment.A.TrueB.False
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