PPT-Parallel Lines cut by a Transversal

Recall that parallel lines are two coplanar lines that never intersect AB CD A transversal is a line segment or ray that intersects two or more lines at different distinct points. Sections 3-1. What you’ll learn. How to identify the relationships between two lines or two planes. How to name angles formed by a pair of lines and a transversal. Vocabulary. . Parallel lines. Parallel planes. 8.G.5. Essential Question. ?. What can you conclude about the angles formed by parallel lines that are cut by a transversal?. Common Core Standard. :. 8.G ─Understand . congruence and similarity using physical models, transparencies, or geometry software.. Parallel and Perpendicular Lines. Perpendicular lines. are two lines that intersect to form a 90º. . angle. . Parallel and Perpendicular Lines. Parallel lines. are two lines that, if extended indefinitely, would never cross or touch. Lines Are Parallel. Objective:. After studying this section, you will be able to apply the exterior angle inequality theorem and use various methods to prove lines are parallel.. An exterior angle of a triangle is formed whenever a side of the triangle is extended to form an angle supplementary to the adjacent interior angle.. Angle Relationships . Parallel Lines are j & k. Transversal is l. Corresponding Angles. “Corresponding” means “matching”, so corresponding angles are the ones at the same location at each intersection.. PART III. PARALLEL UNIVERSE. When two numbers are the same in mathematics, we say they are. equal.. When two figures in mathematics are exactly the same, we say they are . congruent.. Technically, . Objective Learn to recognize parallel and perpendicular lines. . Parallel and Perpendicular Lines…. A . plane. is an infinite, flat surface. Lines in a plane that never meet are called . parallel Lines. and a Transversal. Vocabulary. Parallel lines. : Lines in the same plane that have the same slope and never intersect. . Transversal. : A line that intersects two or more parallel lines.. Interior Angles. L.E.Q. What special angles are created by two lines cut by a transversal and how are they related?. Remember:. What would you call two lines which do not intersect?. Parallel. A solid arrow placed on two lines of a diagram indicate the lines are parallel.. Students will be able to. Determine whether two lines are parallel. Write flow proofs. Define and apply the converse of the theorems from the previous section. Objectives. You can use certain angle pairs to determine if two lines are parallel. Chapter 3. Parallel Lines & Transversals. Section 3.1. Vocabulary. Parallel lines. Parallel planes. Skew lines. Transversal. Consecutive interior angles . Alternate interior angles. Alternate exterior angles. Pgs. 26, 28, 30. Warmup. (pg. 23) . The measures of 2 Vertical Angles are 90 and (5x 10). Find the value of x.. The measure of an angle is twice the measure of its compliment. . What’s a Transversal? . Graph your . Bellringer. question #2 as the graph of the day.. You need paper/comp book. Learning Target. I can identify congruent and . supplementary angles. b. etween parallel lines cut . by a transversal.. Section 3.1 Big Ideas Geometry. Parallel Lines: Two lines that do not intersect and are coplanar. The symbol for parallel is || and is read “is parallel to”. So m||n reads “line m is parallel to line n”.