PPT-Parallel and Perpendicular Lines

A2E Write the equation of a line that contains a given point and is parallel to a given line A2F write the equation of a line that contains a given point and is perpendicular to a given line Slopes of Parallel Lines. 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. 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, . 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. Line Segments,. Rays. Line. Line- a straight path that goes in two directions without ending.. A. B. AB. Read: “Line AB”. Ray. A ray has one end point and goes on forever in only one direction.. CD. Parallel Lines and Transversal. Alternate interior angles are congruent if the lines are parallel. Corresponding angles are congruent if the lines are parallel. Given the picture list all corresponding angles, list all Alternate interior angles (assume lines are parallel). Methods in Graphing. Understanding Slope. AI.L.4: Represent linear functions as graphs from . equations, equations . from tables and other given . information. AI.L.7: . Solve linear . inequalities in two variables by graphing. Find some examples of horizontal lines. Vertical. Think of some examples of vertical lines. Parallel. Find some examples of parallel lines. Perpendicular. Find some examples of perpendicular lines. What sort of angle is this?. Line. Line- a straight path that goes in two directions without ending.. A. B. AB. Read: “Line AB”. Ray. A ray has one end point and goes on forever in only one direction.. CD. Read: “Ray CD”. 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. Warm Up. Construct each of the following.. 1.. . A perpendicular bisector.. 2.. An angle bisector.. 3.. Find the midpoint and slope of the segment . (2, 8) and (–4, 6).. . Prove and apply theorems about perpendicular bisectors.. Geometry. Chapter 3. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Algebra 1 Unit 5: Writing equations of lines. Parallel Lines. What are parallel lines?. Parallel lines are two lines that never intersect each other.. Where have you seen examples in real-life?. Lines on a road. 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.. 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”.