Q2 of 49 Page 13

In Δ PQR, PM = 15, PQ = 25, PR = 20, NR = 8. State whether line NM is parallel to side RQ. Give reason.

By Converse of basic Proportionality Theorem

(Theorem: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.)


⇒ If, then line NM is parallel to side RQ.


∴ we’ll check if.


⇒


=


=


=


And,


=


=


=


⇒ , therefore line NM || side RQ


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