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standard 9th triangle chapter full details​

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Answered by vedantsharma30
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Answer:

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Answered by akilnithya
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Answer:

Congruent Triangles

In a pair of triangles if all three corresponding sides and three corresponding angles are exactly equal, then the triangles are said to be congruent.

Criteria for Congruency

The following are the criteria for the congruency of the triangles.

SSS Criteria for Congruency

If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

If all sides are exactly the same, then their corresponding angles must also be exactly the same.

SAS Criteria for Congruency

– Axiom: Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

ASA Criteria for Congruency

– Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangles

AAS Criteria for Congruency

– Two triangles are said to be congruent to each other if two angles and one side of one triangle are equal to two angles and one side of the other triangle.

RHS Criteria for Congruency

If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

RHS stands for Right angle – Hypotenuse – Side.

Properties of Isosceles triangle

– If 2 sides of the triangle are equal, the angles opposite those sides are also equal and vice versa.

Criteria for Congruency of triangles

– The criteria for congruency of triangles are :

SAS

ASA

AAS

SSS

RHS

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