Question

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

Accepted Answer

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, $\bar{A B}$ and $\bar{D C}$ 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.

$\bar{A B}$ and $\bar{B C}$ are adjacent sides.

$\bar{A C}$ in column $I$ matches with $(v)$ in column $I I$

The line joining opposite vertices are called diagonals.

$\bar{A C}$ and $\bar{B D}$ 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 $I I$

$a$ . $\bar{A B}$ and $\bar{D C}$ are $(i v)$ opposite sides

$b$ . $∠ B$ and $∠ D$ are $(i)$ opposite angles

$c$ . $\bar{A B}$ and $\bar{B C}$ are $(v)$ adjacent sides

$d$ . $\bar{A C}$ and $\bar{B D}$ are $(i i i)$ diagonals

$e$ . $∠ C$ and $∠ D$ are $(i i)$ adjacent angles

Worksheet 3

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Questions from Worksheet 3 with Hints & Solutions

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