Q5 of 38 Page 19

Let’s write what conditions are required to draw a fixed parallelogram.

We are supposed to write the conditions required to draw a fixed parallelogram, that is, a quadrilateral.


Let us understand what a condition is.


Condition is a requirement necessary for a given statement or theorem to hold. Also called a criterion.


Let us fix the base at the length of 6 cm.


The conditions required to draw a fixed parallelogram are:


1. Sides are equal and parallel: There are four sides in a parallelogram, and the opposite sides are equal and parallel. So, once the base is fixed at length 6 cm, the opposite side also measures 6 cm. Also, these two sides are parallel.


While take the other opposite sides to be of same length, say, of 5 cm and parallel to each other.


2. Opposite angles are equal: There are four angles in a parallelogram. Check for opposite angles to be equal.


A fixed parallelogram can be formed using these two simple conditions.


More from this chapter

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In quadrilateral PLAN opposite sides are equal in length i.e, PL = AN = 6 cm and PN = LA = 5cm. Let’s draw three types of quadrilateral PLAN, let’s see when it will be a rectangle.

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Let’s write that conditions required for to draw a fixed square.

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Let’s draw a rectangle BEST where BE = 6 cm and ES = 4.8 cm.