What is the difference between RHS and SAS congruence?

RHS Congruency The main difference between RHS and SAS is that RHS is applicable only in right angled triangle whereas SAS can be applicable to any given triangle. In RHS the angle is always of measure 90º whereas in SAS the angle is always the included angle between two sides.

Why doesn’t SSA prove two triangles are congruent?

Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.

What is RHS congruence?

RHS Congruence Rule: Two right triangles are congruent if the hypotenuse and one side of one triangle are equal to the corresponding hypotenuse and one side of the other triangle.

What is RHS stands in RHS congruence criteria?

RHS criterion of congruence stands for Right Angle-Hypotenuse-Side (full form of RHS congruence). RHS congruence theorem states that, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are congruent.

Is SSA a unique triangle?

The ‘SSA’ triangle condition (two sides and a non-included angle), does not uniquely identify a triangle. Given two positive real numbers (two side lengths) and a degree measure strictly between 0∘ and 180∘ (the angle), there may be no triangle, exactly one triangle, or two triangles that match the SSA information.

Why does SSA work in right triangles?

Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. Using words: In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

Is SSA a triangle congruence theorem?

Therefore, SSA (Side-Side-Angle) is NOT a congruence rule.