Theorem 7.5 RHS Congruence Rule | Class 9 Maths Chapter 7 Triangles | Criteria for Congruence of 🔺️

Theorem 7.5 RHS Congruence Rule | Class 9 Maths Chapter 7 Triangles | Criteria for Congruence of 🔺️

Theorem 7.5 (RHS congruence rule) :- If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangle are congruent.

Congruence is the term used to define an object and its mirror image. Two objects or shapes are said to be congruent if they superimpose on each other. Their shape and dimensions are the same. In the case of geometric figures, line segments with the same length are congruent and angle with the same measure are congruent.

Conditions for Congruence of Triangles:

1. SSS (Side-Side-Side)
2. SAS (Side-Angle-Side)
3. ASA (Angle-Side-Angle)
4. AAS (Angle-Angle-Side)
5. RHS (Right angle-Hypotenuse-Side)

CPCT is the term, we come across when we learn about the congruent triangle. Let’s see the condition for triangles to be congruent with proof.



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