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4-5 Isosceles & Equilateral TrianglesPowerPoint Presentation

4-5 Isosceles & Equilateral Triangles

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### 4-5 Isosceles & Equilateral Triangles

Objectives: To use and apply properties of isosceles and equilateral triangles

Isosceles vs Equilateral

- What is an isosceles triangle?
- What is an equilateral triangle?
- Label the following on the diagram below:
- Legs
- Base
- Base angle
- Vertex angle

Isosceles Triangle Theorem

- If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Converse of the Isosceles Theorem

- If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Theorem 4-5

- If a line bisects the vertex angle of an isosceles triangle, then the line is also perpendicular bisector of the base.

Corollary (4-3)

- If a triangle is equilateral, then the triangle is equiangular

Corollary (4-4)

- If a triangle is equiangular, then the triangle is equilateral

Homework Section 4-5

- Page 254 #6-22 evens, 28

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