State whether the following statement is true or false.

If AB⊥ PQ and CD⊥PQ, then AB⊥CD.

True

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False

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Solution

The correct option is B
False

If two lines are perpendicular to the same line then they are parallel to each other.

AB and CD are perpendicular to PQ.

So, AB and CD are parallel to each other.

(We observe a pir of corresponding angles are equal to $90^{\circ}$

$∴ P Q | | C D$ )

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