Question

Line A is parallel to line B , line C is perpendicular to line A, Line D is perpendicular to line A.Which statement below must also be true ?

• A. Line C is perpendicular to line D
• B. Line C is perpendicular to line B
• C. Line A is perpendicular to line B
• D. Line A is perpendicular to line D

Answer 1

Answer: (B)

Line C is perpendicular to line B

$\Rightarrow$ Line A $\parallel$ line B [ Given ]

$\Rightarrow$ Line C $\perp$ line A [Given]

$\therefore$ Line C $\perp$ line B [ Since, $A\parallel B$]

$\therefore$ From the given statements in options, "Line C is perpendicular to line B" is true.