What is RHS Congruence Rule?
RHS stands for Right Angle-Hypotenuse-Side.
RHS Congruence Rule states that in two right-angled triangles, if the length of the hypotenuse and one side of one triangle is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent
RHS Criterion of Congreunce
In symbols, if in two right triangles △ABC and △DEF, we have:
- AB=DE (The hypotenuses are congruent).
- ∠B=∠E (Both triangles have a right angle).
- BC=EF (One corresponding side of each triangle is congruent).
△ABC ≅ △DEF (by RHS)
RHS Congruence Rule
RHS Congruence Rule is also known as the HL (Hypotenuse-Leg) Congruence Theorem. It states the criteria for any two right-angle triangles to be congruent.
This rule states that if in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one corresponding side of the other triangle, then the triangles are congruent. In this article, we will discuss the criteria of congruence of right-angle triangles in detail including proof and examples.
Table of Content
- RHS Congruence Rule
- Proof
- Steps to apply RHS Congruence Rule
- RHS and SSS Congurence Rule
- Solved Examples
Contact Us