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Avery is constructing an inscribed square in a circle. a circle construction with diameter db and ac. there are two pairs of arcs created on the diameter ac of the circle that create two points. part a: what are the remaining steps to complete the construction of the square? (3 points) part b: avery places the pivot point of the compass on point c and the pencil end on point d and locks it in place. while keeping the pivot point at c, he moves the pencil end to point b. what would this prove about the distance from d to c and b to c? explain your answer. (3 points)



Answer :

azikennamdi

The steps for creating a square in a circle are:

  1. First, make a circle with a compass.
  2. Draw a diameter across the length of the circle, passing through its midway with a ruler.
  3. Cross the circle with the compass. Swing the compass point to one end of the diameter and make a mark above the circle.
  4. Keeping the same length of the compass, swing to the opposite side of the diameter and make another mark above the circle until the two arcs connect.
  5. Steps 3 and 4 should be repeated, but with the markings below the circle.
  6. Using a ruler, connect the points of intersection above and below the circle. This results in a perpendicular bisector.
  7. Using a ruler, connect each corner point to one another to form a square.

Part b: Avery places the pivot point of the compass on point c and the pencil end on point d and locks it in place. while keeping the pivot point at c, he moves the pencil end to point b. what would this prove about the distance from d to c and b to c?

It is to be noted that Avery did not expand the compass to construct the two sets of arcs in Part B. He maintained it that way.

Learn more about creating a square in a circle:

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