If A B C D is a parallelogram, then match the following. Column I Column I I a . A B ¯ and D C ¯ are i Opposite angles b . ∠ B and ∠ D are i i Adjacent angles c . A B ¯ and B C ¯ are i i i Diagonals d . A C ¯ and B D ¯ are i v Opposite sides e . ∠ C and ∠ D are v Adjacent sides

Given: A B C D is a parallelogram. The opposite sides of a parallelogram are equal and parallel to each other. In the given parallelogram, A B ¯ and D C ¯ are opposite sides. ∴ a in column I matches with i v in column I I Opposite angles of a parallelogram are equal. ∠ B and ∠ D are opposite angles. ∴ b in column I matches with i column I I Adjacent sides of a parallelogram have a common vertex. A B ¯ and B C ¯ are adjacent sides. ∴ c in column I matches with v in column I I The line joining opposite vertices are called diagonals. A C ¯ and B D ¯ are diagonals. ∴ d in column matches with i i i in column I I The adjacent angles have a side in common. ∠ C and ∠ D are adjacent angles. ∴ e in column I matches with i i in column I I Hence, final match is Column I Column I I a . A B ¯ and D C ¯ are i v opposite sides b . ∠ B and ∠ D are i opposite angles c . A B ¯ and B C ¯ are v adjacent sides d . A C ¯ and B D ¯ are i i i diagonals e . ∠ C and ∠ D are i i adjacent angles

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NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 2

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In a trapezium, the opposite angles are equal.

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Important Questions on Understanding Quadrilaterals

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NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 2

In a trapezium, opposite sides are equal.

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NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 2

In a kite, diagonals are perpendicular to one another.

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NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 2

In a kite, one pair of opposite angles are equal.

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NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 3

If $A B C D$ is a parallelogram, then match the following.

Column $I$	Column $I I$
$a$ . $\bar{A B}$ and $\bar{D C}$ are	$(i)$ Opposite angles
$b$ . $∠ B$ and $∠ D$ are	$(i i)$ Adjacent angles
$c$ . $\bar{A B}$ and $\bar{B C}$ are	$(i i i)$ Diagonals
$d$ . $\bar{A C}$ and $\bar{B D}$ are	$(i v)$ Opposite sides
$e$ . $∠ C$ and $∠ D$ are	$(v)$ Adjacent sides