A transversal is a line, or line segment, that intersects two or more other lines, or line segments. When a transversal intersects parallel lines, many angles are congruent. Let's take a peek at what this means. Line segments k and j are parallel. Line segment l is a transversal.

When two parallel lines are intersected by a transversal, complex angle relationships form, such as alternating interior angles, corresponding angles, and so on. Being able to spot angle relationships, and confidently find congruent angles when lines intersect, will make you a better, geometry student.

2.1.1.b represent and analyze line/segment/plane relationships including parallel, perpendicular, intersecting, bisecting, midpoint, median, and altitude. 2.1.1.3 analyze the relationship between the length of the sides of a triangle and the size of the angles. 2.1.2 identify and/or verify properties of geometric figures using the coordinate ...

Lesson 2.6: Parallel Lines Proofs Worksheet page 2 3. Prove the Same Side Exterior Angles Theorem: If 2 parallel lines are cut by a transversal, then the same side exterior angles are supplementary. Given: llll // m Prove: ∠1 and ∠7 are supplementary Conclusions Justifications 4. Given: ∠1 ≅ ∠2 ∠1 ≅ ∠4 Prove: llll // m Oct 22, 2014 · b) If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. c) If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary. d) If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. p H K M J p N H K M J