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In the given figure, it is given that LM = ON and NL = MO State the three pairs of equal parts in the triangles NOM and MLN. Is ∆NOM ≅ ∆MLN. Give reason? - Mathematics

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Question

In the given figure, it is given that LM = ON and NL = MO

  1. State the three pairs of equal parts in the triangles NOM and MLN.
  2. Is ∆NOM ≅ ∆MLN. Give reason?

Sum

Solution

a. In ∆NOM and ∆MLN,

NM = MN  ......(Common)

OM = LN  ......(Given)

ON = LM  ......(Given)

b. Yes, by using part (a), we get

∆NOM ≅ ∆MLN  ......(SSS criterion)

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Chapter 6: Triangles - Exercise [Page 181]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 6 Triangles
Exercise | Q 145. | Page 181

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