Interiors on Same Side If two lines are cut by a transversal and the interior angles on the same side of the transversal are supplementary, the lines are Converse Iparallel. Alternate Exterior Angles If two lines are cut by a transversal and the alternate exterior Converse angles are congruent, the lines are parallel. Alternate Interior Angles if two lines are cut by a transversal and the alternate interior Converse angles are congruent, the lines are parallel. If two parallel lines are cut by a transversal, then the alternate If two parallel lines are cut by a transversal, the interior angles Interiors on Same Side on the same side of the transversal are supplementary. Alternate Exterior Angles exterior angles are congruent. Alternate Interior Angles If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. Corresponding Angles If two lines are cut by a transversal and the corresponding Converse angles are congruent, the lines are parallel. Corresponding angles: The angles made when a transversal intersect with any pair of parallel lines are called the corresponding angles. What is a Transversal A transversal is a line that passes through two lines lying in the same plane at two distinct points. These lines are always equidistant from each other. For the two lines to be parallel, the most important thing is that they are drawn in the same plane. When this happens, eight different angles are created, many of which come in special pairs. Parallel lines are the lines which never meet each other. If any pair of alternate interior angles formed by a transversal with the two lines are equal, then the given lines. Transversal: A transversal of any given line is a line that intersects two or more given lines at distinct points. Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal The sum of the degree measure of corresponding angles is 180. A transversal is a line that intersects two or more lines. The theorems of parallel lines and transversal are given below: If any pair of corresponding angles formed by a transversal with the two lines are equal, then the given lines are. It is transversing both of these parallel lines. And this line that intersects both of these parallel lines, we call that a transversal.
![parallel lines and transversals parallel lines and transversals](https://cdn.tutors.com/assets/images/courses/math/geometry-help/tutors-parallel-lines-cut-by-a-transversal.jpg)
Well, actually, I'll do some points over here. So let me draw that line right over there. In fact, when parallel lines are cut by a transversal, there are. Let me draw a little bit neater than that. The parallel lines are denoted by a special symbol, given by. If two parallel lines are cut by a transversal, alternate exterior angles are always congruent. 9) 27 and 22 10) Z6 and 214 corresponding angles 11) 213 and 212 12) 27 and 211 Interior on the same side 13) Z4 and 28 If two parallel lines are cut by a transversal, then the pairs of Corresponding Angles corresponding angles are congruent. Parallel lines: The combination of two or more lines that are stretched to infinity and never intersect each other are called the parallel line or coplanar lines. m2 14 = 115 Refer to the above figure and identify the special angle pair name.