Page 81 - Maths Class 06

Parallelogram Rectangle Rhombus Square

1. Opposite sides are parallel T T T T

2. Opposite sides are equal T T T T

3. The opposite angles are equal T T T T

4. All angles are equal T T

5. Diagonals bisect each other T T T T

6. Diagonals bisect each other at right angles T T

7. Diagonals are equal to each other T T

NOTE

A polygon is said to be regular if all its sides are equal and all the angles are also equal.
The example of regular polygon is an equilateral triangle.

EX AM PLE 1. Name the dif fer ent types of quad ri lat er als that can be ob served in the fig ure given be low:

P Q

S A C B R
Fig. 5.18

SOLUTION : Rectangle ABQP, par al lel o gram PSCQ and tra pe zium PSRQ PSBQ PARQ QBSP, , , .
EX AM PLE 2. How can you use the set square in the ge om e try box to form a
60°
tra pe zium and a par al lel o gram?
SOLUTION : Place the pair of 30°, 60°, 90° set squares in dif fer ent po si tions
as shown along side, to make a par al lel o gram. 90° 30°
90°
To make a trapezium we require, three set squares of 30°, 60°, 30°
90° and place them as shown below in the Fig. 5.19 (b)

60°
Fig. 5.19(a)

Fig. 5.19(b)

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