Similarity and Altitude of Right Triangles

TRIANGLE SIMILARITY THEOREMS​

By Joshua Nieva

Poll

In SSS Similarity theorem, If the sides of one triangle are proportional to the corresponding sides of the second triangle, then the triangles are similar

• FACT

• BLUFF

Poll

In 30°-60°-90° Triangle, two legs are congruent.

• FACT

• BLUFF

Poll

The Altitude of a triangle is perpendicular segment from vertex of the triangle to the adjacent side.

• FACT

• BLUFF

Poll

13, 13, 13√2 is an example of 45°-45°-90° Triangle.

• FACT

• BLUFF

Poll

Similarity Ratio is the simplest form of the ratio of the lengths of two corresponding sides of similar triangles.

• FACT

• BLUFF

GENERALIZATION​

• What are the triangle similarity theorems?

• Why is it important to learn how to solve problems involving the concept of triangle similarity theorem, right triangle similarity theorem, and special right triangle theorems?

• How will you apply triangle similarities in real situation?

Multiple Choice

The figure illustrates;

• SSS Similarity theorem

• AAA Similarity theorem

• SAS Similarity theorem

• AA Similarity theorem

Multiple Choice

The figure illustrates;

• SSS Similarity theorem

• AAA Similarity theorem

• SAS Similarity theorem

• AA Similarity theorem

Multiple Choice

In the given figure, what is the altitude in the triangle?

• $$\overline{AB}$$  

• $$\overline{BC}$$  

• $$\overline{BD}$$  

• $$\overline{AD}$$  

Multiple Choice

The figure is an example of;

• Similarity Ratio 

•  30°-60°-90° Triangle

•  45°-45°-90° Triangle

• Altitude of a triangle 

Multiple Choice

The figure is an example of;

• Similarity Ratio 

•  30°-60°-90° Triangle

•  45°-45°-90° Triangle

• Altitude of a triangle