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Quadratic Formula

Given, A = ...

Question

Given, $A = {$ Quadrilaterals $}$ , $B = {$ Rectangles $}$ , $C = {$ Squares $}$ , $D = {$ Rhombuses $}$ . Explain giving reasons, whether $C \subseteq$ $B$ $\subseteq$ $A$ or not.

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Solution

$A = {$ Quadrilateral $}$
$B = {$ Rectangle $}$
$C = {$ Squares $}$
$D = {$ Rhombuses $}$
Yes $C$ $\subseteq$ $B$ [ $∵$ all squares are rectangles.]
$C$ $\subseteq$ $B$ $\subseteq$ $A$ [ $∵$ Squares and Rectangles are Quadrilaterals.]

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A = {

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B = {

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C = {

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D = {

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D \subset

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A = {

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B = {

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A = {Q u a d r i l a t e r a l s}, B = {R e c t a n g l e s}, C = {S q u a r e s} D = {R h o m b u s e s}

B \subset C (i i) D \subset B (i i i) C \subseteq B \subseteq A (i v) D \subset A (v) B \supseteq C (v i) A \supseteq B \supseteq D

Give reasons for the following:

(a) A square can be thought of as a special rectangle.

(b) A rectangle can be thought of as a special parallelogram.

(d) Squares, rectangles, parallelograms are all quadrilaterals.

(e) Square is also a parallelogram.

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