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Download 5.4 Notes Isosceles and Equilateral Triangles
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Transcript
Isosceles Triangles • 2 sides are congruent • 2 theorems • If 2 sides are congruent, then base angles are congruent • If 2 base angles are congruent, then sides are congruent Equilateral Triangles • Equilateral (all sides congruent) • Equiangular (all angles congruent) • Theorems • If equilateral, then equiangular • If equiangular, then equilateral Using theorems to solve problems Using theorems to solve problems Using theorems to solve problems • Since the triangle is isosceles, the base angles are congruent Using theorems to solve problems • If equilateral, then equiangular • Each angle is 60 degrees in an equiangular triangle Using theorems to solve problems • If equiangular, then equilateral • Set expressions equal to each other Proofs Using Triangle Theorems Statements Reasons Given Proofs Using Triangle Theorems Statements Reaons Given ∠1 ≅ ∠2 ∠1 ≅ ∠3 Worksheet HOMEWORK
