![]() ![]() In a triangle, side opposite to the larger (greater) angle is longer.In a triangle, angle opposite to the longer side is larger (greater).If in two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuse and one side of other triangle, then the two triangles are congruent (RHS Congruence Rule).If three sides of one triangle are equal to three sides of the other triangle, then the two triangles are congruent (SSS Congruence Rule).Sides opposite to equal angles of a triangle are equal.Angles opposite to equal sides of a triangle are equal.If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent (AAS Congruence Rule).If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent (ASA Congruence Rule).If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent (SAS Congruence Rule). ![]() If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as ∆ ABC ≅ ∆ PQR.Two figures are congruent, if they are of the same shape and of the same size.The main points of chapter 7 of class 9th Maths that students must remember at the time of exam are:
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