Congruency of Triangles Part 1 || Class 9 Math || CBSE Board Preparation ||
Автор: Infinity Learn 9&10
Загружено: 2025-06-26
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Welcome to Infinity Learn 9&10! In this session, we begin our deep dive into one of the most important topics in Class 9 Mathematics – Congruency of Triangles.
In geometry, two figures are said to be congruent if they have the same shape and size. When two triangles are congruent, their corresponding sides and angles are equal.
🔺Symbol for congruency: ≅
For example: △ABC ≅ △DEF means triangle ABC is congruent to triangle DEF.
🔺 Congruence of Triangles: Two triangles are congruent if all their corresponding sides and angles are equal. But instead of checking all six elements (3 sides and 3 angles), we use specific congruence rules.
🔺Triangle Congruence Criteria (Rules):
➜SSS (Side-Side-Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
➜SAS (Side-Angle-Side): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, they are congruent.
➜ASA (Angle-Side-Angle): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, they are congruent.
➜AAS (Angle-Angle-Side) (sometimes included as a valid condition): If two angles and a non-included side are equal in both triangles.
➜RHS (Right angle-Hypotenuse-Side): In right-angled triangles, if the hypotenuse and one side are equal, the triangles are congruent.
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FAQs
►What are the 5 rules of congruent triangles?
►What does sss sas asa aas mean?
►Why does SSA not prove congruence?
✦congruence of triangles
✦congruence of triangles class 9
✦congruence of triangles class 9 questions
✦criteria for congruence of triangles class 9
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