9
QuizMultiple Choice

Construct Regular Polygons

Question 9 • A4158 Integrated Math 1b

Below is a list of the steps used to construct a square inscribed in a circle. Step M - Place the compass point at the endpoint of the diameter and the pencil at the center of the circle to construct an arc.Step N - Draw in two diameters using the points where the small arc intersects the line segments and the center.Step O - Construct a small arc by placing the compass point where the diameter intersects the line segment and the pencil on the center of the circle.Step P - Construct a line segment between the two points where the arc intersects the circle.Step Q - Draw line segments between the four points where the two constructed diameters intersect the circle.Which list shows these steps in the correct order?

Answer
A
M, N, O, P, Q
B
M, P, O, N, Q
C
O, P, M, Q, N
D
P, O, M, Q, N

Explanation

First construct the arc from an endpoint of the diameter (M), then join the two points where that arc meets the circle to make a line segment (P). Use that segment to construct the small arc (O), whose intersections help locate the perpendicular diameter; then draw the two diameters (N). Finally, connect the four points where the diameters meet the circle to form the inscribed square (Q).

AI-written and checked against the verified answer.

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