Kategorier: Alle - triangles - relationships - angles - similarity

av Zhengyang Pan 8 år siden

299

Math Example

Understanding the concept of triangle similarity is crucial in geometry, often determined through relationships involving angles and sides. One method to establish similarity is the Angle-Angle (

Math Example

In △ABC and △A'B'C', if AB: A'B'=AC:A'C' and ∠A=∠A', then△ABC ~△A'B'C'

In △ABC and △A'B'C', if AB: A'B'=AC:A'C'=BC:B'C', then△ABC ~ △A'B'C'

SSS

Prove by Relationships in Corresponding Angles and Corresponding Sides

Prove by Relationships in Corresponding Sides

SAS

Methods to Prove Two Given Triangles Are Similar

Instruction: show your understanding in proving similarity triangles by building the relations ships with the other floating topics to the main topic. (One of the example is done for you). Pair up the given picture to the related topic. Feel free to add additional pictures or notes.

Prove by Relationships in Corresponding Angles

PICTURE EXAMPLE
AA
In △ABC and △A'B'C', if ∠A=∠A', B=∠B', then△ABC ~ △A'B'C'