# Practical Geometry

**Exercise 1**

**1. ** Construct the following quadrilaterals:

(i) Quadrilateral ABCD

AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm, AC = 7 cm

(ii) Quadrilateral JUMP

JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU = 6.5 cm

(iii) Parallelogram MORE

OR = 6 cm, RE = 4.5 cm, EO = 7.5 cm

(iv) Rhombus BEST

BE = 4.5 cm, ET = 6 cm

**Exercise 2**

**2.** Construct the 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

**Exercise 3**

**3. **Construct the following quadrilaterals:

(i) Quadrilateral MORE

MO = 6 cm, OR = 4.5 cm, Z M = 60°, Z 0 = 105°, Z R = 105°

(ii) Quadrilateral PLAN

PL = 4 cm, LA = 6.5 cm, LP= 90°, Z A = 110°, Z N = 85°

(iii) Parallelogram HEAR

HE = 5 cm, EA = 6 cm, Z R = 85°

(iv) Rectangle OKAY

OK = 7 cm, KA = 5 cm

**Exercise 4**

**4. ** Construct the following quadrilaterals:

(i) Quadrilateral DEAR

DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°

(ii) Quadrilateral TRUE

TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R = 75°, ∠U = 120°

**Exercise 5**

Draw the following:

**5. ** The square READ with RE = 5.1 cm

**6.** A rhombus whose diagonals are 5.2 cm and 6.4 cm.

**7. ** A rectangle with adjacent sides of length 5 cm and 4 cm.

**8. **A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.