Question

Consider the following statements.

Which of the above statements are correct ?

• A. $1\text{and}2$ both
• B. Neither $1$ Nor $2$
• C. $1$ Only
• D. $2$ Only

Answer 1

The correct option is A $1\text{and}2$ both

We know that if two lines are intersected be a transversal then these two lines would be parallel if and only if its corresponding angles are equal.

Statement 1: If transversal line $m$ is perpendicular to line $p$ then for line $p$ to be parallel with line $q$, its corresponding angles must be equal. for equal corresponding angles, line $m$ must be perpendicular to line $q$ also.

Statement 2: The parallel lines are non-intersecting, hence they can never meet.
Hence, Both statements are correct.