Transcript Identifying Triangles

Identifying Triangles
Unit 4C-Triangle Geometry
 LT7: I can identify different types of triangles
based on different measures.
Identifying
There are 3 different ways to identify
triangles based on information given (angles
and sides)
1.) A Unique Triangle
2.) More Than One Triangle
3.) No Triangle
What Is A “Unique” Triangle?
A unique triangle means there is
ONLY ONE WAY to create the
triangle.
All unique triangles are congruent
(the same) even though you may
have to “flip” or “turn” them to line
up
Criteria For A Unique Triangle
There are certain criteria that must be met in order for
a triangle to be considered a unique triangle…
1.) SSS Triangles
2.) SAS triangles with an included angle
3.) ASA triangles with an included side
4.) ASA triangles with a nonincluded side
What Is “More Than One” Triangle?
There are certain criteria that must be met in
order for more than one triangle to be made
with the same given information…
1.) SAS triangles with a nonincluded angle –
EXCEPT if the given sides are the same length
(isosceles) in which case you will get a unique
triangle
2.) AAA Triangles
What Is “No” Triangle?
There are certain criteria that if you are given
you will NOT be able to create a triangle…
1.) If the sum of all the angles in the triangle do
NOT equal 180°
2.) If the sum of 2 of the sides of the triangles is
NOT greater than the third side
Let’s Review
Now Let’s Practice
Example 2
 Draw Triangle QRS where Angle
r=40°, RQ=12cm, and RS=8cm. Is
the triangle unique, more than
one, or none?
Example 3
Example 4
Example 5
Example 6
Example 7
Any Questions???????
Your Turn!
 Complete the handout individually to assess
what you have now learned about creating a
unique triangle, more than one triangle, or no
triangle.
 We will discuss your answers as a class once
everyone is finished.