Question
Henry needs to give an informal proof of the formula for the circumference of a circle.
● He first constructs a circle, with center O, and labels a point on the circle as P.
● He draws a radius from O to P.
● He then uses point P as the center to construct a new circle.
● He draws two line segments, each formed by joining point O with the points of intersection of the two circles.
Which of these is a plausible next step in Henry's proof process?
A. Construct another circle with a doubled radius.
B. Construct another circle with a doubled radius.
C. Construct a rectangle that circumscribes the original circle.
D. Construct a rectangle that circumscribes the original circle.
Construct an octagon that circumscribes the original circle.
Construct an octagon that circumscribes the original circle.
Construct a hexagon inscribed in the original circle.
● He first constructs a circle, with center O, and labels a point on the circle as P.
● He draws a radius from O to P.
● He then uses point P as the center to construct a new circle.
● He draws two line segments, each formed by joining point O with the points of intersection of the two circles.
Which of these is a plausible next step in Henry's proof process?
A. Construct another circle with a doubled radius.
B. Construct another circle with a doubled radius.
C. Construct a rectangle that circumscribes the original circle.
D. Construct a rectangle that circumscribes the original circle.
Construct an octagon that circumscribes the original circle.
Construct an octagon that circumscribes the original circle.
Construct a hexagon inscribed in the original circle.
Answers
c
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