Question

Which of the following statements are true of a transversal? It is a line. It can be perpendicular to other lines. It intersects two or more coplanar lines. It bisects line segments. It cannot be parallel to other lines.

Answer 1

True statements about transversal are as follows:

1. It is a line
2. It can be perpendicular to other lines.
3. It intersects two or more coplanar lines.

Explanation:

Transversal :

Transversal is a line which intersects two or more parallel lines which lies in same plane. transversal line crosses the two parallel lines at right angle that time it is called as perpendicular transversal.

As shown in figure AB and CD are two parallel lines which lies in same plane.EF is a line which crosses lines AB and CD at point P and Q respectively. EF is known as transversal line

In figure,

`\angle 1= \angle3\\\angle2=\angle4`

True statements about transversal are as follows:

1. It is a line
2. It can be perpendicular to other lines.
3. It intersects two or more coplanar lines.