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First Four Postulates

If line l1 ⊥ ...

Question

If line $l_{1} ⊥ l_{2}$ and $l_{2} ⊥ l_{3}$ then what is relationship between $l_{1}$ and $l_{3}$

A

L_{1}

is equal to

L_{3}

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B

L_{1}

is perpendicular to

L_{3}

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C

L_{1}

is parallel to

L_{3}

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D

L_{1}

intersects

L_{3}

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Solution

The correct option is C $L_{1}$ is parallel to $L_{3}$

$l_{1} ⊥ l_{2} \Rightarrow l_{1} intersects l_{2}$
$l_{2} ⊥ l_{3} \Rightarrow l_{2} intersects l_{3}$
but $l_{1}$ does not intersects $l_{3}$
$l_{1} ∥ l_{3}$

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