Practical Geometry

Exercise 4.1

Construct the following quadrilaterals

Question 1: Quadrilateral ABCD

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

Quadrilateral

Answer: Steps are as follows:



Question 2: Quadrilateral JUMP

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

Quadrilateral

Answer: Steps are as follows:

Question 3: Parallelogram MORE

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

Quadrilateral

Answer: Steps are as follows:

Question 4: Rhombus BEST

BE = 4.5 cm, ET = 6 cm

Quadrilateral

Answer: We know that all sides of rhombus are equal.


Exercise 4.2

Construct the following quadrilaterals

Question 1: Quadrilateral LIFT

LI = 4 cm, IF = 3cm, TL = 2.5 cm, LF = 4.5 cm, IT = 4 cm

Quadrilateral

Answer: Steps are as follows:

Question 2: Quadrilateral GOLD

OL = 7.5 cm, GL = 4 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm

Quadrilateral

Answer: Steps are as follows:

Question 3: Rhombus BEND

BN = 5.6 cm, DE = 6.5 cm

Quadrilateral

Answer: Diagonals of a rhombus are perpendicular bisectors of each other.



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