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5.4 Isosceles and Equilateral Triangles.

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Presentation on theme: "5.4 Isosceles and Equilateral Triangles."— Presentation transcript:

1 5.4 Isosceles and Equilateral Triangles

2 Isosceles Triangles leg leg base Vertex angle Base angle Base angle
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 Vertex angle leg leg Base angle base Base angle

3 Equilateral Triangles
Equilateral (all sides congruent) Equiangular (all angles congruent) Theorems If equilateral, then equiangular If equiangular, then equilateral

4 Using theorems to solve problems

5 Using theorems to solve problems

6 Using theorems to solve problems
Since the triangle is isosceles, the base angles are congruent

7 Using theorems to solve problems
If equilateral, then equiangular Each angle is 60 degrees in an equiangular triangle

8 Using theorems to solve problems
If equiangular, then equilateral Set expressions equal to each other

9 Proofs Using Triangle Theorems
Statements Reasons Given

10 Proofs Using Triangle Theorems
Statements Reaons Given ∠1≅∠2 ∠1≅∠3

11 Worksheet HOMEWORK

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