Triangle Classification and Properties

The video tutorial covers the classification of triangles by side lengths and angles. It explains the types of triangles: scalene, isosceles, equilateral, acute, right, obtuse, and equiangular. The tutorial also discusses how to combine these classifications, such as right isosceles or acute scalene triangles. Practical examples are provided, including using distance and slope formulas to identify triangle types in a coordinate plane.

What are the two main ways to classify triangles?

• By perimeter and area

• By color and size

• By height and base

• By side lengths and angles

Which type of triangle has all sides of different lengths?

• Equilateral

• Scalene

• Isosceles

• Right

What is a special type of isosceles triangle where all sides are equal?

• Scalene

• Equilateral

• Right

• Obtuse

What is the relationship between scalene and isosceles triangles?

• Isosceles has no equal sides, scalene has at least two

• They both have all sides equal

• Scalene has no equal sides, isosceles has at least two

• They are the same

What is the main feature of an isosceles triangle?

• All sides are different

• At least two sides are equal

• One angle is obtuse

• All angles are equal

What is the defining feature of a scalene triangle?

• One angle is a right angle

• All sides are equal

• At least two sides are equal

• No sides are equal

What is the relationship between equilateral and isosceles triangles?

• Isosceles is a type of equilateral

• They are the same

• Equilateral is a type of isosceles

• They are unrelated

What is the main feature of an equilateral triangle?

• All sides are different

• All sides are equal

• At least two sides are equal

• One angle is obtuse

How do we classify a triangle with all acute angles?

• Acute triangle

• Obtuse triangle

• Right triangle

• Equilateral triangle

What is the largest angle in a right triangle?

• Obtuse angle

• Acute angle

• Equiangular

• Right angle