Question

let F1 be the set of parallelogram, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapezium in a plane. Then F1 may be equal to

Answer 1

Answer:

Correct option is D)

Given, F1= the set of parallelograms

           F2= the set of rectangles

           F3= the set of rhombuses

           F4= the set of squares

and     F5= the set of trapeziums

By definition of parallelogram, opposite sides are equal and parallel. In rectangles, rhombuses and squares, all have opposite sides equal and parallel, therefore

           F2⊂F1,  F3⊂F1,  F4⊂F1

∴   F1=F1∪F2∪F3∪F4.

Was this answer helpful?