Practical Geometry - Exercise 4.2 - NCERT Solutions
Chapter 4 : PRACTICAL GEOMETRYÂ
Exercise 4.2
Q.1 Construct the following quadrilaterals.
(i) Quadrilateral LIFT
LI = 4 cm
IF = 3 cm
TL = 2.5 cm
LF = 4.5 cm
IT = 4 cm
Sol. Step 1: Construct ΔITL using SSS criterion.
Step 2: Keep L as centre and draw an arc of radius 4.5 cm on the opposite side of point L. Draw an another arc of radius 3 cm keeping I as centre, such that it intersects the previously drawn arc. Let the point of intersection be F.
Step 3: To complete the parallelogram LIFT, join I and T to F.
(ii) Quadrilateral GOLD
OL = 7.5 cm
GL = 6 cm
GD = 6 cm
LD = 5 cm
OD = 10 cm
Sol. Step 1: Construct ΔGLD using SSS criterion.
Step 2: Keep D as centre and draw an arc of radius 10 cm on the opposite side of point D. Draw another arc of radius 7.5 cm keeping L as centre, such that it intersects the previously drawn arc. Let the point of intersection be O.
Step 3: To complete the parallelogram GOLD, join G and L to O.
(iii) Rhombus BEND
BN = 5.6 cm
DE = 6.5 cm
Sol. Step 1: Draw a line segment BN of length 6.5 cm. Now, draw perpendicular bisectors of BN with the intersection point as O.
Step 2: Take O as center and draw arcs of length 3.25 cm which intersects the perpendicular bisector at point D and E.
Step 3: To complete the rhombus BEND, join D to B and E to N.
