Circle Investigations

Investigation 1.
1. Grab point B. Move it around. What can you say about line CB?[br]2. What type of segment is AB?[br]3. Move B around. What do you notice about the angle measure of CBA?[br]4. Make a conjecture about what happens when a radius and a tangent line meet at the same point.[br]
Investigation 2
1. Grad D and move it around. Grab F and move it around. What type of lines are GD and GF?[br]2. What do you notice about the measurements of segments DG and FG?[br]3. Move D and E. What happens to the segment measurements?[br]4. Make a conjecture about the length of segments the lie on tangent lines and have a common point exterior to the circle.
Investigation 3
1. What type of angle is angle CAB?[br]2. What type of angle is angle CDB?[br]3. What do these two angles have in common?[br]4. Move point C. What do you notice about the relative size of angles CAB anf CDB?[br]5. Make a conjecture about the relative sizes of a central angle and an inscribed angle that subtends the same arc on a circle.

Information: Circle Investigations