RHS Congruence Rule

What is RHS criterion in triangles?

If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then the two triangles are congruent.

How do you use RHS rule?

Under the RHS congruence rule, we show that in two right triangles, the length of the hypotenuse is equal along with the length of another corresponding side of the triangles. If we can prove this, that means the given triangles are congruent, otherwise they are not congruent.

What does the H stand for in the RHS rule?

H stands for Hypotenuse in RHS rule.

What is the full form of RHS?

The full form of RHS is Right angle-Hypotenuse-Side.

Why there is no AAA Congruence Rule?

AAA (Angle-Angle-Angle) condition is not a valid rule for proving congruence in triangles. Even if two triangles have all three angles equal, it does not guarantee that the triangles are congruent; they may just be similar in shape but not necessarily the same size.

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.