Question

In the following 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?

Answer 1

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)