NCERT Class 7 Mathematics Solutions: Chapter 7 –Congruence of Triangles Exercise 7.2 Part 1

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Understanding of Congruent Triangles

Understanding of Congruent Triangles

Understanding of Congruent Triangles

1. Which congruence criterion do you use in the following?

Answer:

(a)

Two Triangles ABC and DEF

Two triangles ABC and DEF are shown in figure

Given,

So,

(b)

Two Triangles PQR and XYZ

Two triangles PQR and XYZ are given in image

Given,

So,

(C)

Two Triangles LMN and FGH

Two triangles LMN and FGH.

Given,

So,

(d)

Two Triangles EAB and BCD

Two triangles EAB and BCD, C and A is made 90 degree angle.

Given,

So,

Answer:

(a) By SSS congruence criterion,

Since it is given that

The three sides of one triangle are equal to the three corresponding sides of another triangle.

So,

(b) By SAS congruence criterion,

Since it is given that and

The two sides and one angle in one of the triangle are equal to the corresponding sides and the angle of other triangle.

So,

(c) By ASA congruence criterion,

Since it is given that ,

The two angles and one side in one of the triangle are equal to the corresponding angles and side of other triangle.

So,

(d) By RHS congruence criterion,

Since it is given that

Hypotenuse and one side of a right angled triangle are respectively equal to the hypotenuse and one side of another right angled triangle.

So,