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Isosceles Triangle

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