Explore what changes are made to the triangles by moving points A, B, and C.[br]1. What do you notice about the measure of segments AB and AC?[br]2. Write an equation to represent the relationship between segments AB and AC?[br]3. Based on this finding, if AB = 8, what is the value of AC?[br][br]4. As you move any of the points, what do you notice about the measure of angles B and C?[br]5. Write an equation to represent the relationship between angles B and C.[br]6. Based on this finding, if angle B = 34 degrees, what is the measure of angle C?[br][br]7. What do you notice about the the sum of the measure of all three angles?[br]8. Write an equation to represent the relationship between all three angles.[br]9. If the measure of angles B = 52 degrees, what would be the value of angle A?

Exploring the properties of isosceles triangles then state: What properties related to the altitude of isosceles triangles did you observe?