PLS HELP ME ON PRACTICE PROBLEM

Question

Avery is constructing an inscribed square in a circle.

Part A: What are the remaining steps to complete the construction of the 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? Explain your answer.

PLS CORRECT ME ON PRACTICE PROBLEM PLS HELP ME AND DONT JUST REPLY TO NOT GIVE THE ANSWER PLS

Answer 1

Because it is a square all sides are the same. if the pivot point from B to C is the same as D to C, then this proves the sides are the same. You can do this again for the other pivot point and the other sides. The missing piece of information is that the definition of inscribed means all sides should touch the edge of the circle. This is important because the pivot points don't lie on the edge of the circle.

You would have to rotate and draw additional points with the compass to ensure all 4 sides of the square lie on the circle

I hope this is helpful. I can provide a video or session for tutoring to review this further in detail.

Answer 2

Hi Oscar!

For part A, you would simply connect the points on the circle labeled A,B,C,D and that would give you a square inscribed in the circle.

For part B, this would prove that the distance from D to C is equal to the distance from B to C.