![]() Knowing that two lines are parallel is useful for finding the equation of a line even when given little information about it. Two vertical lines are still parallel even though their slopes are undefined. The blue line below is the graph of the equation y = 2x + 3 and the black line is y = 2x - 4. The converse is also true if two lines have the same slope, the two lines are parallel unless they overlap. In coordinate geometry, parallel lines have the same slope. ![]() If any of the eight angles formed by two parallel lines and a transversal is a right angle, all the angles formed are right angles and the transversal is perpendicular to the two parallel lines. In the figure above, Hyperbolic Line BA and. In summary, ∠1, ∠3, ∠5, ∠7 are congruent and ∠2, ∠4, ∠6, ∠8 are also congruent. DEFINITION: Parallel lines are infinite lines in the same plane that do not intersect. Exterior angles on the same side of the transversal are supplementary.Consecutive interior angles are supplementary.Corresponding angles on the same side of the transversal are congruent.Alternate interior angles are congruent.Alternating exterior angles are congruent.Several relationships exist among these angles. ∠1 and ∠8, ∠2 and ∠7 are pairs of exterior angles on the same side of the transversal.∠3 and ∠6, ∠4 and ∠5 are pairs of consecutive interior angles.∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 are called corresponding angles.∠3, ∠4, ∠5, ∠6 are called interior angles. ![]()
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