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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.​

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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.

In constructing the regular hexagon inscribed in a circle, it is clear that Mai is wrong because;

- he omitted steps, 2, 3 and 4 and instead made use of wrong steps

The steps for him to finish correctly are;

Step 1 to Step 6 explained below.

  • A regular hexagon is a regular polygon with 6 equal sides. We want to construct a hexagon inscribed in a circle with center at C.

The steps are;

  • Step 1; Place compass at point C and draw a circle with fixed radius.

  • Step 2; With the leg still at the center of the circle, mark a point labelled B along the circumference of the circle to serve as starting point for the sides of the hexagon.

  • Step 3; Place the leg of the compass at B and with the same distance BC, draw a second arc to intersect the circle along its' circumference and mark the point as D.

  • Step 4; Without changing the span of the compass, move the leg to the newly drawn arc along the circumference and marc another arc which will be labelled D.

  • Step 5; Repeat Step 4 until you return to point B.

  • Step 6; Starting at Point B, connect each point where the arc intersected the circumference. The connection of these points forms the inscribed hexagon.

Looking at the steps above and comparing it to Mai's steps, it is clear that Mai omitted steps 3, 4 and 5 and instead used wrong steps that would not lead to a regular hexagon.

Read more at; https://brainly.com/question/11833289

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