Question

In the given figure,

AB || DC prove that

(i) ∆DMU ∼ ∆BMV

Answer 1

(i) Given  `AB||DC`

In triangle DMU and BMV, we have

`∠ MUD =∠ MVB`

Each angle is equal to 90°

`∠ UMD =∠ VMB`

Each are vertically opposite angles.

Therefore, by AA-criterion of similarity 

` ∆DMU ∼ ∆BMV`