Let F1 be 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 in the plane. Then F1 may be equal to

Question

Let F1 be 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 in the plane. Then F1 may be equal to (A) F2 ∩ F3 (B) F3 ∩ F4 (C) F2 ∪ F5 (D) F 2 ∪ F 3 ∪ F 4 ∪ F 1

Tardigrade Admin · Accepted Answer

Given, F 1= the set of parallelograms F 2= the set of rectangles F 3= the set of rhombuses F 4= the set of squares and F 5= 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 beginarrayl F 2 ⊂ F 1, F 3 ⊂ F 1, F 4 ⊂ F 1 ∴ F 1= F 1 ∪ F 2 ∪ F 3 ∪ F 4 endarray

Q. Let $F_{1}$ be the set of parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in the plane. Then $F_{1}$ may be equal to

$F_{2} \cap F_{3}$

$F_{3} \cap F_{4}$

$F_{2} \cup F_{5}$

$F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

Q. Let F1​ be 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 in the plane. Then F1​ may be equal to

F2​∩F3​

F3​∩F4​

F2​∪F5​

F2​∪F3​∪F4​∪F1​

Q. Let $F_{1}$ be the set of parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in the plane. Then $F_{1}$ may be equal to

$F_{2} \cap F_{3}$

$F_{3} \cap F_{4}$

$F_{2} \cup F_{5}$

$F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$