Constructing Squares Inscribed in Circles

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Presentation transcript:

Constructing Squares Inscribed in Circles Adapted from Walch Education

Constructing a Square Inscribed in a Circle Using a Compass To construct a square inscribed in a circle, first mark the location of the center point of the circle. Label the point X. Construct a circle with the sharp point of the compass on the center point. Label a point on the circle point A. Use a straightedge to connect point A and point X. Extend the line through the circle, creating the diameter of the circle. Label the second point of intersection C. (continued) 1.3.2: Constructing Squares Inscribed in Circles

Do not erase any of your markings. Construct the perpendicular bisector of by putting the sharp point of your compass on endpoint A. Open the compass wider than half the distance of . Make a large arc intersecting . Without changing your compass setting, put the sharp point of the compass on endpoint C. Make a second large arc. Use your straightedge to connect the points of intersection of the arcs. Extend the bisector so it intersects the circle in two places. Label the points of intersection B and D. (continued) Use a straightedge to connect points A and B, B and C, C and D, and A and D. Do not erase any of your markings. Quadrilateral ABCD is a square inscribed in circle X. 1.3.2: Constructing Squares Inscribed in Circles

Thanks for watching! Ms. dambreville