How to know if two triangles are congruent?
Understand the Problem
The question is asking how to determine if two triangles are congruent, which involves identifying specific criteria or theorems that indicate congruence based on their sides and angles.
Answer
When all three corresponding sides and angles are equal, or based on SSS, SAS, ASA, or AAS criteria.
The final answer is when all three corresponding sides and angles are equal, or based on the criteria SSS, SAS, ASA, or AAS.
Answer for screen readers
The final answer is when all three corresponding sides and angles are equal, or based on the criteria SSS, SAS, ASA, or AAS.
More Information
Besides having all corresponding sides and angles equal, congruence can also be determined by five specific criteria: SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), AAS (angle-angle-side), and sometimes RHS (right angle-hypotenuse-side). These criteria simplify checking for congruence by focusing on fewer key measurements.
Sources
- Congruence of triangles - BYJU's - byjus.com
- How To Find if Triangles are Congruent - Math is Fun - mathsisfun.com
- How To Prove Triangles Congruent - SSS, SAS, ASA, AAS Rules - onlinemathlearning.com
