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

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