4-6 Isosceles & Equilateral Triangles

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Presentation transcript:

4-6 Isosceles & Equilateral Triangles Objectives: The student should be able to: 1. Use properties of Isosceles triangles. 2. Use properties of Equilateral triangles.

Properties of Isosceles Triangles Isosceles triangle - a triangle with tow congruent sides called legs. Vertex angle - The angles formed by congruent sides. Base angles – the other two angles (that are not the vertex angle, opposite the legs) of an isosceles triangle. Isosceles triangle theorem – If two sides of a triangle are congruent, then the angles opposite those sides are congruent. In ΔJHL, so . Also, If two angles of a triangle are congruent, then the sides opposite those sides are congruent. In ΔJHL, so .

Properties of Equilateral Triangles A triangle is equilateral if and only if it is equiangular. Each angle of an equilateral triangle measures 60°.

Example 1: Find the measure of each side. Example 2: Find the measure of each side.

Example 3: Find the measure of each each angle. Example 4: Find the measure of each each angle.

Example 5: Find the measure of each each angle. Example 6: Find the measure of each each angle.

Example 7: Find the measure of each side and each angle.