In Fig. 6.49, it is given that LM = ON and NL = MO.
(a) State the three pairs of equal parts in the triangles NOM and MLN.
(b) Is ∆NOM ≅ ∆MLN. Give reason?

Solution:

Given, the figure represents two triangles LMN and OMN.

Also, LM = ON and NL = MO.

We have to state the three pairs of equal parts in the triangles NOM and MLN and determine if ∆NOM ≅ ∆MLN

Considering triangle NOM and MLN,

Given, LM = ON

Also, NL = MO

Common side = MN

Side-Side-Side congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent.

By SSS rule, ∆NOM ≅ ∆MNL

✦ Try This: Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles. ∆ABC ≅ ∆JKL

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 145

In Fig. 6.49, it is given that LM = ON and NL = MO. (a) State the three pairs of equal parts in the triangles NOM and MLN. (b) Is ∆NOM ≅ ∆MLN. Give reason?

Summary:

In Fig. 6.49, it is given that LM = ON and NL = MO. The three pairs of equal parts in the triangles ABD and ACD are LM = ON; NL = MO and MN. By SSS congruence criterion, ∆NOM ≅ ∆MNL.

☛ Related Questions:

• Triangles DEF and LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = . . . .
• If ∆PQR and ∆SQR are both isosceles triangle on a common base QR such that P and S lie on the same s . . . .
• In Fig. 6.50, which pairs of triangles are congruent by SAS congruence criterion (condition)? If con . . . .