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4-1 Classifying Triangles

4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

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Page 1: 4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

4-1 Classifying Triangles

Page 2: 4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

What Is a Triangle?

• A triangle is a three-sidedpolygon.

• Sides:

• Vertices: G, E, and O

• Angles:

E O

G

Page 3: 4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

Classifying Triangles by Angles

Acute Triangle

3 acute angles

Right Triangle

1 right angle

Obtuse Triangle

1 obtuse angle

Equiangular Triangle

3 congruent acute angles

Page 4: 4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

The Right Triangle

E O

G

Hypotenuse

Leg

Leg

Hypotenuse – the side opposite the right angle

Legs – the sides opposite the acute angles

Page 5: 4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

Classifying Triangles by Sides

ScaleneTriangle

No congruent sides

Isosceles Triangle

At least two congruent sides

Equilateral Triangle

Three congruent sides

Page 6: 4-1 Classifying Triangles. What Is a Triangle? A triangle is a three-sided polygon. Sides: Vertices: G, E, and O Angles: EO G

The IsoscelesTriangle

Legs – the two congruent sides

Base – the non-congruent side

Vertex Angle – the angleopposite the base

Base angles – the angles opposite the legs (they are congruent)

E O

G

Leg Leg

Base

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