Exemplar Exercise Problems X — task. Mathematics CBSE, Class 9.

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1.Which of the following is not true for a parallelogram?

opposite angles are bisected by the diagonals
opposite angles are equal
opposite sides are equal
diagonals bisect each other.

2.

$D$ and

$E$ are the mid-points of the sides

$AB$ and

$AC$ respectively of

$△ ABC$ .

$DE$ is produced to

$F$ . To prove that

$CF$ is equal and parallel to

$DA$ , we need an additional information which is

$\angle ADE = \angle ECF$
$\angle DAE = \angle EFC$
$DE = EF$
$AE = EF$

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