How many congruence rules are there??
Answers
Step-by-step explanation:
But we don't have to know all three sides and all three angles ...usually three out of the six is enough. There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
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A triangle has 6 elements- angles and 3 sides. To two triangles to be congruent, atleast 3 elements should be same.
For two triangles to be congruent, the rules are SSS, SAS, ASA, and RHS.
Please note that AAS is not a rule. It is a criteria and can be proved using he other 4 rules.
Let go through the rules and criteria briefly.
Rules for congruency of Triangles.
1. SSS (Side Side Side): Two triangles are congruent if all the three sides of one triangle are equal to the corresponding three sides of the other triangle.
2. SAS (Side Angle Side): Two triangles are congruent if two sides and the inclusive angle of one triangle are equal to the corresponding two sides and inclusive angles of the other triangle.
3. ASA (Angle Side Angle): Two triangles are congruent if its two angles and inclusive side is equal to the corresponding two angles and the inclusive side of the other triangle.
4. RHS (Right-angle Hypotenuse Side{Either Base or Height}): Two triangles are congruent if their hypotenuse and either base or height are equal to one another.
Criteria for congruency of Triangles.
There is only one criteria for congruency of triangles, ie, AngleAngleSide Congruence Criteria.
According to it, if two angles and exclusive side of one triangle are equal to the corresponding two angles and exclusive side of the other triangle, they are congruent by AAS.