Question

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Answer 1

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{Correct\; Question\;:}}}}}\\ \\\end{gathered}$

Construct a □BEST with BE = 2.9cm , ES = 3.2 cm , ST = 2.7cm , BT = 3.4cm and ∠B = 75°.

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\red{Detailed\;Explanation \;:}}}}}\\ \\\end{gathered}$

In this question we have to construct a quadrilateral of the given measure for giving the required quadrilateral.

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{Required\;Answer\;:}}}}}\\ \\\end{gathered}$

To construct □BEST we have to follow the steps :

1. Draw the base BE = 2.9cm
2. Then keep the protractor and draw 75° of angle .
3. Then make 3.3cm at ES
4. Then make 2.7cm line at ST
5. Successfully, join the BT.

Hence , our quadrilateral is constructed successfully.

Note : For seeing quadrilateral refer to the attachment.

_______________________________

$\dagger \underline{\large \: \: {\frak{Points \: to \: remember : }}}$

• Every quadrilateral has 4 angles , 4 sides and 2 diagonals. Hence, there are 10 elements of each quadrilateral.
• We can construct a quadrilateral if we know the measures of some specific 5 elements out of 10. Constructions of triangles are the basis of constructions of quadrilaterals.
• By putting some conditions on sides and angled of a quadrilateral, we get different types of quadrilaterals. There are two basic types of quadrilateral namely rectangle and square.

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\green{Important \;Points \;:}}}}}\\ \\\end{gathered}$

Rectangle:

• If all angles of a quadrilateral are right angles , it is called a rectangle.

Square :

• If all sides and all angles of a quadrilateral are congruent , it is called as square.

Rhombus :

• If all sides of a quadrilateral are of equal length (congruent) , it is called a Rhombus.

Trapezium :

• If only one pair of opposite sides of a quadrilateral is parallel then it is called a trapezium.

Kite :

• If one diagonal is the perpendicular bisected of the other diagonal then the quadrilateral is called a kite.

Parallelogram :

• A quadrilateral having opposite sides parallel is called a parallelogram.

Answer 2

Answer:

\begin{gathered}\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{Correct\; Question\;:}}}}}\\ \\\end{gathered}\end{gathered}

CorrectQuestion:

Construct a □BEST with BE = 2.9cm , ES = 3.2 cm , ST = 2.7cm , BT = 3.4cm and ∠B = 75°.

\begin{gathered}\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\red{Detailed\;Explanation \;:}}}}}\\ \\\end{gathered}\end{gathered}

DetailedExplanation:

In this question we have to construct a quadrilateral of the given measure for giving the required quadrilateral.

\begin{gathered}\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{Required\;Answer\;:}}}}}\\ \\\end{gathered}\end{gathered}

RequiredAnswer:

To construct □BEST we have to follow the steps :

Draw the base BE = 2.9cm

Then keep the protractor and draw 75° of angle .

Then make 3.3cm at ES

Then make 2.7cm line at ST

Successfully, join the BT.

Hence , our quadrilateral is constructed successfully.

Note : For seeing quadrilateral refer to the attachment.

_______________________________

\dagger \underline{\large \: \: {\frak{Points \: to \: remember : }}}†

Pointstoremember:

Every quadrilateral has 4 angles , 4 sides and 2 diagonals. Hence, there are 10 elements of each quadrilateral.

We can construct a quadrilateral if we know the measures of some specific 5 elements out of 10. Constructions of triangles are the basis of constructions of quadrilaterals.

By putting some conditions on sides and angled of a quadrilateral, we get different types of quadrilaterals. There are two basic types of quadrilateral namely rectangle and square.

\begin{gathered}\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\green{Important \;Points \;:}}}}}\\ \\\end{gathered}\end{gathered}

ImportantPoints:

Rectangle:

If all angles of a quadrilateral are right angles , it is called a rectangle.

Square :

If all sides and all angles of a quadrilateral are congruent , it is called as square.

Rhombus :

If all sides of a quadrilateral are of equal length (congruent) , it is called a Rhombus.

Trapezium :

If only one pair of opposite sides of a quadrilateral is parallel then it is called a trapezium.

Kite :

If one diagonal is the perpendicular bisected of the other diagonal then the quadrilateral is called a kite.

Parallelogram :

A quadrilateral having opposite sides parallel is called a parallelogram.