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Lesson 6 CCSS G-C 3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a.

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Presentation on theme: "Lesson 6 CCSS G-C 3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a."— Presentation transcript:

1 Lesson 6 CCSS G-C 3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

2 Investigating Inscribed Quadrilaterals
Draw a circle. Draw an inscribed quadrilateral. Make sure all 4 vertices of the quadrilateral lie on the circle. Label the vertices A, B, C, and D. Using a protractor measure the four angles of the quadrilateral to the nearest degree.

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4 Use a compass to draw a circle with a diameter greater than the circle in Step A. Plot points E, F, G, and H consecutively around the circumference of the circle so that the center of the circle is not inside quadrilateral EFGH. Use a straightedge to connect each pair of consecutive points to draw quadrilateral EFGH.

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6 Proving the Inscribed Quadrilateral Theorem

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10 Assignments

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