Question

The area of which of the following quadrilaterals are equal in the given figure if lines $AB$ and $QD$ are parallel to each other and $QABP$ and $CABD$ are parallelograms?

• A. $QABP$ and $CABD$
• B. $QABP$ and $QABD$
• C. $CABD$ and $QABC$
• D. $QABD$ and $QABC$

Answer 1

The correct option is A $QABP$ and $CABD$

$QABP$ and $CABD$ are $\parallel gm.$

They share common base $AB.$

$AB\parallel QD$ i.e, $AB\parallel QP$ $\xi$ $AB\parallel CD$

$\Rightarrow AB=QP$ $\xi$ $AB=CD$ [ Opposite sides of $\parallel gm$ are equal ]

Hence, the answer is $QABP$ and $CABD.$