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  • Take cut-outs of two identical parallelograms, say ABCD and A′B′C′D′ (Fig 3.19). Here AB is same as A ′ B ′ except for the name. Similarly the other corresponding sides are equal too. Place A ′ B ′ over DC . Do they coincide? What can you now say about

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

Here \overline{AB}is the 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)

best_answer

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

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

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

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

By the properties of a parallelogram, 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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seema garhwal

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