$parallel lines and transversals$

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. We will learn those properties and check out some solved examples based on these properties. parallel lines cut by a transversal, corresponding angles, anternate.

Corresponding angles: The angles made when a transversal intersect with any pair of parallel lines are called the corresponding angles. Parallel Lines, a Transversal and the angles formed. Transversal: A transversal of any given line is a line that intersects two or more given lines at distinct points. The parallel lines are denoted by a special symbol, given by. The angles made by parallel lines and transversal have some interesting properties. If two parallel lines are cut by a transversal as shown in the next diagram, we refer as follows to the angles formed: z and x (or u and v) are alternate angles. 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. Key Points If the transversal cuts a pair of parallel lines, then the alternate interior angles are equal in measure. A line that intersects two parallel lines is known a s a transversal. Alternate Interior Angles If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. Parallel lines are lines that are always a constant distance apart. Corresponding Angles If two lines are cut by a transversal and the corresponding Converse angles are congruent, the lines are parallel. 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. m2 14 = 115 Refer to the above figure and identify the special angle pair name.

Parallel lines and transversals