Practical Geometry - Exercise 4.2 - NCERT Solutions

Chapter 4 : PRACTICAL GEOMETRY 

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.