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## PowerPoint Slideshow about ' 4.1 Triangles & Angles' - pello

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A Triangle

- Is a figure formed by three segments
- Joining three noncollinear points….it has
- Sides…..
- And Angles.

Triangles can be classified by sides..

- Scalene (no sides equal)
- Isosceles (as least 2 sides equal)
- Equilateral (3 congruent sides)

A Triangle can be classified by ANGLES…

- Acute (3 acute angles)
- Right (1 right angle)
- Obtuse (1 obtuse angle)
- Equiangular (3 congruent angles)

Triangle Vocabulary

- Vertex A
- Vertex B
- Vertex C

Triangle Vocabulary

- Side opposite angle A
- Side oppositeangle B
- Side opposite angle C

Right Triangles

- Hypotenuse
- Leg
- Leg

Isosceles Triangle

- Base
- Leg
- Leg

When the sides of a triangle are extended….the triangle has

- Interior Angles
- Exterior Angles

Theorem 4.1-Triangle Sum Theorem

- The sum of the interior angles of a triangle is 180 degrees.

Theorem 4.2-Exterior Angle Theorem

- The measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles.

A corollary to a theorem

- Is a statement that can be proved easily using a theorem
- Think of it as a mini-theorem.

Corollary to the triangle sum theorem

- The acute angles of a right triangle are complementary.

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