Lesson 4.6 Isosceles Triangles.

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Presentation transcript:

Lesson 4.6 Isosceles Triangles

Parts of an Isosceles Triangle An isosceles triangle is a triangle with two congruent sides. The congruent sides are called legs and the third side is called the base. 3 Leg Base 2 1 Ð 1 and 2 are base angles 3 is the vertex angle

Isosceles Triangle Theorems If two sides of a triangle are congruent, then the angles opposite those sides are congruent. A B C Example: Find the value of x. By the Isosceles Triangle Theorem, the third angle must also be x. Therefore, x + x + 50 = 180 2x + 50 = 180 2x = 130 x = 65 x ° 50

Isosceles Triangle Theorems If two angles of a triangle are congruent, then the sides opposite those angles are congruent. A B C Example: Find the value of x. Since two angles are congruent, the sides opposite these angles must be congruent. 3x – 7 = x + 15 2x = 22 X = 11 50 ° 3x - 7 x+15 A B C