9 Circle Part 4: Inscribed Angles
- Author:
- vtran@auroraschool.ca
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 2 triangles with vertices on the circle. They all need to share 2 vertices (BC) and the third vertex D and E are on the same arc.
3. 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 2 triangles with vertices on the circle. They all need to share 2 vertices (BC) and the third vertex D and E are on the same arc.
3. 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 polygon (quadrilateral) with BCD on one arc and BED on the other, then measure ∢BCD and ∢BED (angles on opposite sides of quadrilateral).
Use 
to move Point B or D (a vertex that you did not measure the angle of).
to move Point B or D (a vertex that you did not measure the angle of).Part IV Inscribed Angles: Question 7
What relationship exists between these angles?