RS Aggarwal Solutions Class 7 Maths Chapter 16 Ex 16.1 (Updated For 2021-22)

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RS Aggarwal Solutions Class 7 Maths Chapter 16 Ex 16.1

RS Aggarwal Solutions Class 7 Maths Chapter 16 Ex 16.1 – Overview

Basic Concepts Of Congruence 

• Two figures can be called congruent if they have the shape and size.
• We represent the congruence sign by ‘=’.
• Whenever the one plane figure gets superposed on another plane figure covering it from all the sides thoroughly as if it seems to be the one figure only, then we can that those two figures are congruent.
• The congruence of triangles doesn’t only happen when the corresponding angle measures or the length of the corresponding side are equivalent but also the vertices play an important role equally. It should be equivalent as well to be said as congruent. 
• Two figures namely, Fig-1 & Fig-2 are said to be congruent only if Fig-1 overlaps Fig-2 completely. Hence, we can write it as F1 = F2.
• Also, the two line segments, let us say WX and YZ will be called congruent only if they possess an equal length. 
• If two angles, let us say angle ABC and Angle DEF, will be called congruent only if they possess equal measures. Henceforth, in this case, we can write them as ∠ABC = ∠DEF.

Congruence of two triangles

1. SSS Congruence property of two triangles – The two triangles are said to be congruent, only in the case if the three sides of the first triangle are equivalent to the three corresponding sides of another triangle.
2. SAS Congruence property of two triangles – The two triangles are said to be congruent only in the case if the two sides of the first triangle and the corresponding sides of the second triangle are equivalent to each other. Also, if the corresponding angle formed in the first triangle and the second triangle is equivalent then the SAS congruence property is said to be true.
3. ASA congruence property of two triangles – In this case, the two triangles are said to be congruent only if the two angles and the one side of the first triangle is equivalent to the corresponding two angles and the corresponding side of the second triangle.
4. RHS Congruence property of two right-angled triangles – In this case, the two right-angled triangles are said to be congruent in nature only if the hypotenuse side along with one other side of the same triangle is equivalent to the corresponding hypotenuse side along with the other corresponding side of another triangle.

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