9 Circle Part 4: Inscribed Angles
Part IV Inscribed Angle: Questions 1-3
1. Use 
(Circle with Center and Radius) to create a 6 unit radius circle with centre A.
2. Use 
(Polygon) to create a triangle with vertices on the circle. 2 vertices (BC) must be on one arc, and the third vertex D is on the opposite arc.
3. Use (Polygon) to create a second triangle with vertices on the circle. This triangle must share 2 vertices (BC) with the first triangle, and the third vertex E must be on the same arc as vertex D.
4. Use 
(Angle) to measure ∢ BDC and ∢BEC (the inscribed angles).
(Circle with Center and Radius) to create a 6 unit radius circle with centre A.
2. Use (Polygon) to create a triangle with vertices on the circle. 2 vertices (BC) must be on one arc, and the third vertex D is on the opposite arc.
3. Use (Polygon) to create a second triangle with vertices on the circle. This triangle must share 2 vertices (BC) with the first triangle, and the third vertex E must be on the same arc as vertex D.
4. Use (Angle) to measure ∢ BDC and ∢BEC (the inscribed angles).Part IV Inscribed Angles: Question 4
Repeat steps 1 to 3 on 2 more circles.
Part IV Inscribed Angles: Question 5
What do you notice about the inscribed angle measurements?
Part IV Inscribed Angles: Question 6
Create a circle and a quadrilateral (polygon) inscribed on your circle, then measure the angles on opposite sides of the quadrilateral.
Use 
to move a point of your quadrilateral that does not have an angle measured.
to move a point of your quadrilateral that does not have an angle measured.Part IV Inscribed Angles: Question 7
What relationship exists between the measurement of these angles (angles across from each other in a quadrilateral)?