Circle - angles @ centre & angles in same segment

Class based activity:

Objectives: 

to proof the validity of the following theorems through geometrical manipulations using Geogebra.

Theorem 1: Angle at the centre theorem

Theorem 2: Angle in a semi circle theorem

Theorem 3: Angles in the same segment

Activity 1:

Using the attached links explore the following:

a. the various permutations of Angle at the centre theorem

b. the relationship between Angle at the centre theorem and Angle in a semi circle theorem

Activity 2:

Using the attached links explore the limitations of Angles in the same segment theorem.

link to activity1

link to activity2