PPT-Planes and Lines: the Concepts of Parallel, Skew and Transversal

Section 31 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 mn reads line m is parallel to line n. 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. A point is an exact location in space.. You are here.. A true point has no length, no width, and no height.. In fact, you cannot see a true point.. A point is named by a letter.. P. Point P. Lines are 1-dimensional objects that have only length. Lines continue forever in both directions.. 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? . Pencil. Handouts you picked up. Work silently & independently. DO NOW!:. . Fill in . the blank with . always. , . sometimes. , or . never. .. If . two planes intersect, then they intersect . at a line.. i.e. . they do not meet).. What is the shortest distance between them?.  .  .  .  . Also find the co-ordinates of . and . ..  . shortest distance. must be perpendicular to both lines.. Let . Then .