Isosceles and Equilateral Triangles Chapter 4-8. Theorems For Isosceles and Equilateral Triangles Isosceles Triangle Theorem If two sides of a triangle.

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Presentation transcript:

Isosceles and Equilateral Triangles Chapter 4-8

Theorems For Isosceles and Equilateral Triangles Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Converse of Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those angles are also congruent.

Theorems For Isosceles and Equilateral Triangles Equilateral Triangles Theorem If a triangle is equilateral, then it is also equiangular. Converse Equilateral Triangles Theorem If a triangle is equiangular, then it is also equilateral.

Example Find each angle measure. A B C 38 o x o 1. m A = 2. m B = 3. m C =

Example Find each angle measure. A B C (3x+15) o 1. m A = 2. m B = 3. m C =

Example Find each side measure. J K L 2t JK = 2. LJ = 3. KL = 4t – 8

Examples B. Name 2 unmarked congruent segments Using the picture below, answer the questions. A. Name 2 unmarked congruent angles

L Examples Given: LM = LP ; N is the midpoint of MP Prove: M = P M N P Statements Reasons