While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller equilateral triangles are formed, like PQR shown in the figure below Explain why PQR is an equilateral triangle (5 points) R Q P The completed construction of a regular hexagon is shown below Explain why ACF is a 30 60 90 triangle (10 points) Student Guide (continued) If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C (5 points)

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Question: While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller equilateral triangles are formed, like

While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller equilateral triangles are formed, like PQR shown in the figure below. Explain why PQR is an equilateral triangle. (5 points)

The completed construction of a regular hexagon is shown below. Explain why ACF is a 30-60-90 triangle. (10 points)

Student Guide (continued)

If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C? (5 points)

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