Question

1. Construct the following quadrilateral
Quadrilateral JUMP
JU = 3.5 cm
UM=4 cm
MP= 5 cm
PJ = 4.5 cm
PU = 6.5 cm​

Answer 1

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\tt {\pink{Given}}\begin{cases} \sf{\green{JU = 3.5 cm}}\\ \sf{\blue{UM=4 cm}}\\ \sf{\orange{MP= 5 cm}}\\ \sf{\green{PJ = 4.5 cm}}\\\ \sf{\purple{PU = 6.5 cm}}\\\end{cases}\end{lgathered} \:\end{lgathered}\end{lgathered}$

sᴛᴇᴘs ᴏғ ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ:-

(a) Draw a line segment JU = 3.5 cm.

(b) Draw an arc of radius 4.5 cm taking

centre J and then draw another arc of radius 6.5 cm taking U as centre. Both

the arcs intersect at P.

(c) Join PJ and PU.

(d) Draw arc of radius 5 cm and 4 cm taking P and U as centres

which intersect at M.

(e) Join MP and MU.

It is required quadrilateral JUMP.

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$\sf \large \red{More\:To\:Know!!}$

❀To construct a quadrilateral it  is necessary to know at least 5 of its parts.

❀Measurement of 5 parts of a quadrilateral are sufficient to construct it in the following cases:

1.  Four sides and one Diagonal.

2. Three sides and both diagonals.

3. Two adjacent sides and 3 angles.

4. Three sides and two included angles.

5.  Four sides and one angle.

❀It is always convenient and helpful to draw a rough sketch of the quadrilateral and indicate the given measurements.

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