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G Teaching triangles
Contributed by: Cason

A polygon is made of all line segments, closed with

no gaps.  The smallest possible number of sides is

three and names a triangle.  Triangles are named

one of two ways by their sides or by their angles.

According to their sides triangles can be either

 

all sides matching, equilateral

at least two sides matching, isosceles

or no sides matching, scalene

 

What is a triangle with no sides matching called?

Classifying triangles by their sides one with  

 

all sides matching is equilateral,

at least two sides matching is isosceles,

no sides matching is called scalene

 

What is a triangle with at least two sides matching

called?

 

Classifying triangles by their sides one with  

 

all sides matching is equilateral,

at least two sides matching is isosceles,

no sides matching is called scalene

 

What is a triangle with all sides matching

called?

 

Classifying triangles by their angles, look at the largest

angle.  The largest angle names the triangle.  

 

If the largest angle is less than 90 degrees, the triangle

is called an acute triangle according to its angles.

If the largest angle is 90 degrees, the triangle is called a

right triangle according to its angles.

If the largest angles is more than 90 degrees, the

triangle is called an obtuse triangle.

What is a triangle with a right angle called?

a(n)                        triangle

Classifying triangles by their angles, look at the largest

angle.  The largest angle names the triangle.  

 

If the largest angle is less than 90 degrees, the triangle

is called an acute triangle according to its angles.

If the largest angle is 90 degrees, the triangle is called a

right triangle according to its angles.

If the largest angles is more than 90 degrees, the

triangle is called an obtuse triangle.

What is a triangle with all angles less than 90 degrees 

called?          a(n)                     triangle

Matching markings indicate congruent (matching) sides.

 

 

 

 

An ∟ indicates a right angle.

Classifying triangles by their angles, look at the largest

angle.  The largest angles names the triangle.  

 

If the largest angle is less than 90 degrees, the triangle

is called an acute triangle according to its angles.

If the largest angle is 90 degrees, the triangle is called a

right triangle according to its angles.

If the largest angles is more than 90 degrees, the

triangle is called an obtuse triangle.

What is a triangle with one angle more than 90 degrees

called?          a(n)                     triangle

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

By its angles: 

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

By its sides: 

Classify the below triangle by its sides and angles.

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

Classify the below triangle by its sides and angles.
Classify the below triangle by its sides and angles.

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

Classify the below triangle by its sides and angles.

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

Classify the below triangle by its sides and angles.

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

Classify the below triangle by its sides and angles.

Largest angle

less than 90 degrees - acute

exactly 90 degrees - right

more than 90 degrees - obtuse

Sides

none matching - scalene

at least two matching - isosceles

all matching - equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.

Largest angle

acute

right

obtuse

Sides

scalene

isosceles

equilateral

Classify the below triangle by its sides and angles.
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