Triangle Classification and Properties

This video tutorial explains how to classify triangles based on their side lengths and angles. It introduces the three types of triangles by side length: equilateral, isosceles, and scalene. The video provides examples to illustrate these classifications and discusses the hinge theorem, which helps determine side lengths when angles are known. The tutorial focuses on understanding triangle properties through visual cues like tick marks and theoretical concepts like the hinge theorem.

What are the two main ways to classify triangles?

• By their perimeter and area

• By their height and base

• By their side length and angles

• By their color and size

What is a key characteristic of an equilateral triangle?

• All sides are different lengths

• Two sides are the same length

• All sides are the same length

• It has a right angle

Which prefix in 'equilateral' suggests that all sides are the same?

• Equi

• Iso

• Scal

• Tri

How many sides of an isosceles triangle are of equal length?

• Two

• One

• Three

• None

What is often forgotten about isosceles triangles?

• They have a right angle

• They have no equal sides

• They have two equal sides

• They have three equal sides

What defines a scalene triangle?

• Two sides are equal

• All sides are equal

• It has a right angle

• All sides are different

What is another way to describe a scalene triangle?

• All sides are the same

• It has a right angle

• Two sides are the same

• Every side has a unique length

What do tick marks on a triangle indicate?

• The triangle's area

• The triangle's height

• Equal side lengths

• The triangle's color

If a triangle has no tick marks, what can be assumed about its sides?

• It has a right angle

• No sides are equal

• Two sides are equal

• All sides are equal

What does the hinge theorem help determine?

• The equality of sides based on angles

• The area of a triangle

• The perimeter of a triangle

• The color of a triangle