Which of these tools or constructions is used to inscribe a hexagon inside a circle?A.Equilateral triangleB.Rotational symmetryC.Parallel line through a pointD.Perpendicular bisector
Question
Which of these tools or constructions is used to inscribe a hexagon inside a circle?A.Equilateral triangleB.Rotational symmetryC.Parallel line through a pointD.Perpendicular bisector
Solution
The tool or construction used to inscribe a hexagon inside a circle is B. Rotational symmetry.
Here's a step-by-step guide on how to do it:
- Draw a circle with a compass.
- Use a straightedge to draw a diameter of the circle.
- Place the point of the compass at one end of the diameter line and draw an arc intersecting the circle.
- Without changing the compass width, draw another arc from the other end of the diameter line, intersecting the first arc inside the circle.
- Draw a line from the intersection point of the arcs to the center of the circle, dividing the circle into six equal parts.
- Connect the points on the circle to form a hexagon.
This process uses rotational symmetry because the hexagon can be rotated about the center of the circle and it will still look the same.
Similar Questions
Which of these tools or constructions is needed to construct an equilateral triangle?A.perpendicular bisectorB.parallel line through a pointC.compassD.angle bisector
Since a regular hexagon contains no circles, it can be drawn using only a straightedge.
What is the measure of each interior angle of a regular hexagon?
You can draw a regular hexagon using only a straightedge and compass.A.TrueB.False
How many equilateral triangles are there in a regular hexagon?
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