Question

name all rules of congreunce of triangle​

Answer 1

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Answer 2

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• name all rules of congreunce of triangle

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• There are five ways to find if two triangles are congruent:

1. SSS,
2. SAS,
3. ASA,
4. AAS
5. RHS

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• Different Rules of Congruent Triangle :

Sides and Angles The property is based on making a triangle congruent depending on how many sides and angles of equal measures make a congruent pair. Under this criterion of congruence when two equal sides and one equal angle forms the two similar it will result in triangles appearing similar.

1. $\small{\tt{\orange{SAS (side- angle -side) :}}}$ By this property a triangle declares congruence with sides and the involved interior angle of one triangle is equivalent to the sides and involved angle of the other triangle. This rule is a self-evident truth and does not need any validation to support the principle. each other - If two sides and the involved interior angle of one triangle is equivalent to the sides and involved angle of the other triangle. This rule is a self-evident truth and does not need any validation to support the principle.
2. $\small{\tt{\purple{ASA (Angle- Side -Angle) :}}}$ By this rule, two triangles congruent to each other - If two angles and the involved side of one triangle is equivalent to the two angles and the are included side of the other triangle. When we have proved the two triangles in congruence through this benchmark, the remaining two sides and the third angle will also be equal.
3. $\small{\tt{\blue{SSS (Side - Side - Side) :}}}$ By this rule, two triangles are said to be congruent to each - If all the three sides of one triangle are of same length as all the three sides of the other triangle. Now that all three corresponding sides are of the same length, you can be confident the triangles are congruent. And since we can be sure the triangles are congruent, this suggests that the three angles of one triangle are equal to the angles of the other triangle respectively.
4. $\small{\tt{\pink{AAS (Angle- Angle- Side) :}}}$ Congruence By this rule, two triangles congruent to each other - If one pair of corresponding sides and either of the two pairs of angles are equivalent to each other. The criterion of this are principle is the Angle sum property of triangles that suggests that the sum of 3 angles in a triangle is 180 degrees . Thus, if two triangles are of the same measure, automatically the 3 ^ (rd) side is also equal, therefore forming triangles ideally congruent.
5. $\small{\tt{\green{RHS (Right - angle -Hypotenuse) :}}}$ By this rule of congruence, in two triangles at right angles If the hypotenuse and one side of a triangle measures the same as the hypotenuse and one side of the other triangle, then the pair of two with each other. triangles are congruent

• Rules that do not Apply to Make Congruent Triangle :

1. $\small{\tt{\purple{AAA (Angle -Angle -Angle) :}}}$ By this rule, if all the corresponding angles of a triangle measure equal, the triangles will become about the same shape, but not necessarily the same size. It will be a case of Two triangles of the same shape, but one is bigger than the other.
2. $\small{\tt{\pink{SSA (Side -Side- Angle) :}}}$ Does not Given two sides and a non-involved angle, it is likely to form two different triangles that convince the values, but certainly not adequate to show congruence.

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