Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
How can we use SAS condition for congruence of triangles ?
SAS (Side Angle Side) criterion:
If two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
This congruence rule is assumed to be true. It is in fact the base for the other congruence rules. Such statements that are taken to be true and are used as a starting point for deriving or proving other statements are called Axioms.
In Congruent triangles, corresponding parts are equal and the abbreviation ‘CPCT’ is used for Corresponding Parts of Congruent Triangles.
Example:
In the figure below it is given that OP = OQ, and OR = OS. Prove that ∆ POR ≃ ∆ QOS.
Here It is given that,
OP = OQ
OR = OS
Note that angles POR and QOS are vertically opposite angles and vertically opposite angles are equal.
So, ∠ POR = ∠ QOS
Two sides and the included angle are equal in the triangles PQR and QOS.
Therefore, by SAS rule,
∆POR ≃ ∆QOS
33 Views
To Continue Learning Please Login