1. Construct the following quadrilaterals. (i) Quadrilateral LIFT LI = 4 cm IF = 3 cm (1 TL = 2.5 cm LF= 4.5 cm IT = 4 cm (iii) Rhombus BEND BN 5.6 cm DE = 6.5 cm construction the quadrilateral.
Answers
Explanation:
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Construct following quadrilaterals
(i) Quadrilateral LIFT
LI=4 cm
IF=3 cm
TL=2.5 cm
LF=4.5 cm
IT=4 cm
(ii) Quadrilateral GOLD
OL=7.5 cm
GL=6 cm
GD=6 cm
LD=5 cm
OD=10 cm
(iii) Rhombus BEND
BN=5.6 cm
DE=6.5 cm
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Solution
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Step 1:
We need to make the constructions according to the information given.
Step 2:
We will follow the following steps of construction.
(i)
1. Draw LI of length 4cm.
2. Cut an arc of 2.5 cm from L and 4cm from I. Their point of intersection is T.
3. Cut an arc of 4.5cm from L and 3cm from I. Their point of intersection is F.
4. Join all the points.
LIFT is the required quadrilateral.
(ii)
1. Draw OL of length 7.5cm.
2. Cut an arc of 10cm from O and 5cm from L. Their point of intersection is D.
3. Cut an arc of 7.5cm from L and 6cm from D. Their point of intersection is G.
4. Join all the points.
GOLD is the required quadrilateral.
iii)
1. Draw DE of length 6.5cm.
2. Draw a perpendicular bisector of DE. The point of intersection is O.
3. Cut an arc of 2.8cm from O on the perpendicular bisector both above and below DE. The points of intersection are B and N.
4. Join all the points