Angles in the Same Segment
Activity 1: Make your observation
This applet demonstrates the theorem of angles in the same segment.
You can use the slider to vary angle BCA, or drag points B, C, or D.
Angle BDA and angle BCA are angles subtended by the same arc, AB. They are also angles in the same segment. What do you notice about the two angles?
Activity 2: Make your observation
DEF and DGF are angles subtended by the same arc, DF.
They are also angles in the same segment.
Move the point D or F and observe the value of the two angles.
What do you notice about the values of angles DEF and DGF?
Conclusion
What can you say about angles in the same segment?