# 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 Î”ITL 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 Î”GLD 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.