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Copy of Isosceles Triangle

Move points A, B, &/or C and observe the isosceles triangle.

Questions

1. What happens when both base angles are 90? Is this considered an isosceles triangle or not? What's your reasoning? 2. When both base angles are 60, what is the measurement of angle A? Does anything seem strange about the triangle? 3. When both base angles are 60.1 , Does anything seem strange about the triangle?