7th Grade Geometry Presentation

1. All about Triangles
Acute, Obtuse, and Right Oh My!

2. Just Like Us, Not All Triangles Are The Same
• In this lesson we will:
• Learn different properties to distinguish
triangles from one another.
• Analyze certain theorems and axioms about
triangle similarity.
• Apply these properties, theorems, and axioms
to determine if triangles are similar.

3. What Is Triangle Similarity?
• Triangles are considered similar if:
• They only differ by size.
• This means all their angles are equal and
corresponding sides differ by a set ratio.
Here is an example of similar triangles:

4. How Can We Be Sure They’re Similar?
• There are many theorems and axioms to
prove triangles are similar.
• SAS
• SSS
• AAS
• AA
• And many more!

5. SAS and SSS
SAS
Side Angle Side
When two triangles have two
corresponding sides with
identical ratios, and an
identical angle between the
sides, they are similar.
SSS
Side Side Side
When two triangles have all
corresponding sides with
identical ratios, they are
similar.

6. AAS and AA
AAS
Angle Angle Side
When two triangles have any
two identical angles an
adjacent side with a
corresponding ratio, they are
similar.
AA
Angle Angle
When two triangles have two
identical angles, they are
similar.

7. Here
Is A Rap Video
About Triangle Similarity

8. Now, Let’s See What We Learned
What is the ratio between corresponding sides of these two triangles?
• 6.4/6
• 6.4/8
• 7/8

9. •Correct! Great Job!

10. •Let’s Try That Again

11. Class Activity
Now, Take A Few Minutes And Play With This Interactive Model!

12. References
• https://www.mathsisfun.com/
geometry/triangles-
similar.html
• http://www.mathopenref.com
/similartriangles.html