Question

Mai wants to construct a regular hexagon inscribed in the circle centered at C. Will these instructions work to finish the hexagon from the construction given? If so, explain why Mai is correct. If not, explain how you would finish the construction correctly.
i. Draw the circle centered at D with radius CD.
ii. Mark the intersection of the circle with the circle centered at C, and label that point E.
iii. Draw the circle centered at E with radius DE.
iv. Mark the intersection of the circle with the circle centered at D, and label that point F.
v. Connect ABCDEF to make a regular hexagon.​

Answer 1

Answer:

Place your compass point on the paper and draw a circle. (Keep this compass span!)

2. Place a dot, labeled P, anywhere on the circumference of the circle to act as a starting point.

3. Without changing the span on the compass, place the compass point on P and swing a small arc crossing the circumference of the circle.

4. Without changing the span on the compass, move the compass point to the intersection of the previous arc and the circumference and make another small arc on the circumference of the circle.

5. Keep repeating this process of "stepping" around the circle until you return to point P.

6. Starting at P, connect to each arc on the circle forming the regular hexagon.