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Congruency of Triangles

AB DC prove t...

Question

In the given figure,

AB || DC prove that
(i) ∆DMU ∼ ∆BMV
(ii) DM × BV = BM ✕ DU

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Solution

(i) Given

In triangle DMU and BMV, we have

Each angle is equal to 90°

Each are vertically opposite angles.

Therefore, by AA-criterion of similarity

(ii)Since

By cross multiplication, we get

Hence proved that

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