Question

What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?

Drag the steps and drop them in order from start to finish.
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Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
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Construct a circle with its center at point H.
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Construct a circle with its center at point J and having radius ​ HJ ​ . Construct a circle with its center at point K having radius ​ HJ ​.​
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Construct horizontal line l and point H on line l.
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Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
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Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

Answer 1

1. construct horizontal line l and point H on line l.

2. constuct a circle with its center at point H.

3. label the point of intersection of the cricle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

4. constuct a circle with its center at point J and having radius HJ. construct a cicle with its center at point K having radius HJ.

5. label a point of intersection of circles H and J that lies above line I, point M and the point of their intersection that lies below line i, point N label the point of intersection of circles H and K that lies above line i, point O, and the point of their intersection that lies below line i, point P.

6. Construct and JM--- , MO-----, Ok----,KP----, and NJ---- to complete regular hexagon JMOKPN.

Explanation:

i took the test and thats what I put and got it correct.

Answer 2

The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:

1. Construct a circle with its center at point H.

2. Construct horizontal line l and point H on line l

3. Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

4. Construct a circle with its center at point J and having radius ​ HJ ​ . Construct a circle with its center at point K having radius ​ HJ

5. Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.

6. Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .