Question is that

If

A={parallelogram}

B={rectangle}

C={Squares}

Find AUB,B intersection C and A intersection C.

I want to know how to sole these questions ?

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- May 18th 2011, 11:34 AMhaftakhanUnion and intersection
Question is that

If

A={parallelogram}

B={rectangle}

C={Squares}

Find AUB,B intersection C and A intersection C.

I want to know how to sole these questions ? - May 18th 2011, 11:36 AMabhishekkgp
- May 18th 2011, 11:40 AMhaftakhan
All are false

- May 18th 2011, 11:42 AMabhishekkgp
- May 18th 2011, 11:48 AMhaftakhan
there shapes are different but yes both have a same thing that both have 2 equal parallel sides

- May 18th 2011, 11:50 AMabhishekkgp
- May 18th 2011, 03:17 PMSoroban
Hello, haftakhan!

Quote:

$\displaystyle \text{Given: }\;\begin{bmatrix}A&=&\{\text{parallelograms}\} \\ B & = & \{\text{rectangles}\} \\ C &=&\{\text{squares}\} \end{bmatrix}$

$\displaystyle \text{Find: }\;(a)\;A\;\cup\,B \quad (b)\;B\,\cap\,C \qquad (c)\;A\,\cap\,C$

Consider the definitions of the three shapes.

. . Parallelogram: Quadrilateral with opposite parallel.

. . Rectangle: Quadrilateral with opposite sides parallel and right angles.

. . Square: Quadrilateral with opposite side parallel and right angles and all sides equal.

Note that:

. . {Parallelograms} includes Rectangles and Squares.

. . {Rectangles} includes Squares.

So we have:

. . $\displaystyle A \;=\;\{\text{parallelograms, rectangles, squares}\}$

. . $\displaystyle B \;=\;\{\text{rectangles, squares}\}$

. . $\displaystyle C \;=\;\:\{\text{squares}\} $

Now answer the questions . . .