Construct a quadrilateral HO = 6cm, HE = OH = 5cm, OM = 7cm, EM =9 cm
Answers
1. Construct the following quadrilaterals:
(i) Quadrilateral ABCD
(ii) Quadrilateral JUMP
AB = 4.5 cm
JU = 3.5 cm
BC = 5.5 cm
UM = 4 cm
AD = 4 cm
MP = 5 cm
AD = 6 cm
PJ = 4.5 cm
AC = 7 cm
PU = 6.5
(iii) Parallelogram MORE
(iv) Rhombus BEST
OR = 6 cm
BE = 4.5 cm
RE = 4.5 cm
ET = 6 cm
EO = 7.5 cm
Sol. (i) First we draw a rough sketch of a quadrilateral ABCD and write down its dimensions as shown. We may divide it into two conveniently constructible Δs ABC and ACD.
Steps of construction:
1. Draw AC = 7 cm.
2. With A as centre and radius 4.5 cm, draw an arc (below AC).
3. With C as centre and radius 5.5 cm, draw another arc cutting the previous arc at B.
4. Join AB and BC
5. With A as centre and radius 6 cm, draw an arc (above AC).
6. With C as centre and radius 4 cm, draw another arc cutting the previous arc and D.
7. Join AD = CD.
Then, ABCD is the required quadrilateral.
(ii) First we draw a rough sketch of a quadrilateral JUMP and write down its dimensions as shown.
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