{"id":35485,"date":"2023-10-23T20:33:11","date_gmt":"2023-10-23T15:03:11","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=35485"},"modified":"2023-11-10T11:55:33","modified_gmt":"2023-11-10T06:25:33","slug":"transversal-lines","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/transversal-lines\/","title":{"rendered":"Transversal Lines \u2013 Definition, Properties, & Examples"},"content":{"rendered":"

A Transversal Line is a line that crosses at least two lines (Parallel Lines) and intersects with them. Find Problems on Transversal Lines with Solutions for a better understanding of the concept. Check concept and examples of\u00a0Lines and Angles<\/strong><\/a>\u00a0on our website for free.<\/p>\n

\"Transversal<\/p>\n

From the above figure, A and B are parallel lines and line C is intersecting both lines at points D and E. The line C is called as Transversal Line.<\/p>\n

\"Transversal<\/p>\n

From the above figure, The line M intersecting Lines N and O at a point c. But the Lines N and O are not parallel lines. Therefore, Line M is not a Transversal Line.<\/p>\n

Angles made by the Transversal with Two Lines<\/h2>\n

\"Transversal<\/p>\n

From the above figure, Line C intersecting Line A and B (parallel lines). The angles formed around the Transversal line are called Transversal angles. From the given figure, \u22201, \u22202, \u22203, \u22204, \u22205, \u22206, \u22207, \u22208 are the angles with special names.<\/p>\n

Interior Angles<\/h3>\n

The angles that present in the area enclosed between two parallel lines and that are intersected by a transversal are also called interior angles. From figure, \u22203, \u22204, \u22205, \u22206 are interior angles.<\/p>\n

Exterior Angles<\/h3>\n

The angles that present outside two parallel lines and that are intersected by a transversal are called Exterior angles. From the figure, \u22201, \u22202, \u22207, \u22208 are Exterior angles.<\/p>\n

Corresponding Pair of Angles<\/h3>\n

The corresponding pair of angles present on the same side of the transversal. In the Pair of corresponding angles, if one is an interior angle, the other will be an exterior angle. Also, they do not form a linear pair. From the figure, (\u22202, \u22206); (\u22201, \u22205); (\u22203, \u22207); (\u22204, \u22208) are the Corresponding pair of angles.<\/p>\n

Pair of Alternate Angles<\/h3>\n

Pair of alternate angles present on the opposite sided of the transversal. Both Pair of Alternate Angles either interior angles or both are exterior angles. They will not form a linear pair. From the figure, (\u22204, \u22206) and (\u22203, \u22205) are interior alternate angles. Also, (\u22201, \u22207) and (\u22202, \u22208) are exterior alternate angles.<\/p>\n

Pair of Co-interior or Conjoined or Allied Angles<\/h3>\n

Pair of co-interior or Conjoined or Allied Angles are pairs of interior angles that present on the same side on the transversal. From the figure, (\u22203, \u22206); (\u22204, \u22205) are co-interior angles.<\/p>\n

Two Parallel Lines are cut by the Transversal<\/h3>\n

\"Transversal<\/p>\n

When two parallel lines A and B are intersected by a Transversal line C, then<\/p>\n