Relation between Lines and angles.

Investigate the relationship between angle formed when two lines are cut by a transversal.

Use the blue endpoints to move the lines. Use the checkboxes to turn each set of angles on and off.

[color=#0000ff]When are two pair of angles said to be corresponding angles? ( Choose multiple options)[/color]

when both lie on same side of the transversal. when both lie on the either side of the transversal. When one is interior angle and other is exterior angle. when both are interior angles. when both have different vertices

[color=#0000ff]If a transversal intersects two lines, when are they said to be parallel? (choose the correct option)[/color]

Co interior angles are equal. Alternate interior angles are equal. Corresponding angles are supplementary.

[color=#0000ff]If a transversal intersects two lines, when are they said to be non parallel? (choose the correct option)[/color]

vertically opposite angles are equal. Co interior angles are not supplementary. Corresponding angles are equal.

[color=#0000ff]If a transversal intersects two parallel lines, then which of the following is true. (choose the correct option)[/color]

Sum of the interior angles on the same side of the transversal is supplementary. Alternate interior angles lie on the same side of the transversal. Co interior angles have same common vertex.

[color=#0000ff]If the set of two lines is cut by a perpendicular transversal, then the lines are said to be parallel. Explain.[/color]

Since the transversal is perpendicular to the pair of two lines, the two lines are said to be parallel to each other as [br]pair of corresponding angles are right angles.[br]Pair of alternate interior angles are right angles.[br]Sum of interior angles on the same side of the transversal is supplementary. (90 + 90= 180)

– Renukatalwar, GeoGebra Materials Team

Information: Relation between Lines and angles.