Angle Exploration: Isosceles Triangle

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

Can you create an obtuse isosceles triangle? Explain.

Can you create a right isosceles triangle? Explain.

Drag the points to change the size of the sides and angles. What do you notice about the angle measurements?[br]Select ALL the correct answers.

An isosceles triangle can have 2 obtuse angles. All 3 angles of an isosceles triangle can be different sizes. All 3 angles of an isosceles triangle will never be equal. The base angles are always equal to each other.

Which angles in triangle JKL must be equal? Explain.

You just learned the Base Angles Theorem: the base angles of an isosceles triangle are congruent.[br][br]Now you will explore the converse.

Adjust the angles in the applet above. Then write the converse of the Base Angles Theorem.[br][br]If 2 angles of a triangle are equal, then the opposite sides are ________.

Bisected Equal Perpendicular Supplementary Parallel

Angle Exploration: Isosceles Triangle

Information: Angle Exploration: Isosceles Triangle