Take cut-outs of two identical parallelograms, say ABCD and A′B′C′D′ (Fig 3.19).

Here \overline{AB}is same as \overline{A'B'}except for the name. Similarly the other corresponding
sides are equal too.
Place \overline{A'B'} over \overline{DC} . Do they coincide? What can you now say about the lengths
\overline{AB} and \overline{DC}?
Similarly examine the lengths \overline{AD} and \overline{BC} . What do you find?
You may also arrive at this result by measuring \overline{AB} and \overline{DC}.

Answers (1)

Take cut-outs of two identical parallelograms, say ABCD and A′B′C′D′ (Fig 3.19).

Here \overline{AB}is same as \overline{A'B'}.

Also, \overline{CD}is same as \overline{C'D'}

Place \overline{A'B'} over \overline{DC} . They coincide with each other.

The lengths \overline{AB} and \overline{DC} are equal and parallel lines.

The lengths \overline{AD} and \overline{BC} are equal and parallel lines.

 

 

 

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