PPT-Equations of Parallel and Perpendicular Lines

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 reallife Lines on a road. Parallel and Perpendicular lines. Prepared by . Doron. . Shahar. Warm-up: page 29. Two lines are parallel if _____________________.. If two lines are parallel, then their slopes, . m. 1. and . m. 2. 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. Ms. Andrejko. Real World. Vocabulary. Equidistant-. the distance between two lines measured along a perpendicular line to the lines is always the same. The distance between a line and a point not on the line is the length of the segment . 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. 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.. 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. Lines & planes. Parallel lines. : two lines in the same plane that don’t intersect.. Skew Lines. : two lines . not. in the same plane that don’t intersect.. Parallel Planes. : two planes that don’t intersect.. Look for the similar Triangles. Parallel Lines and Transversal. Alternate interior angles are congruent if the lines are parallel. Corresponding angles are congruent if the lines are parallel. Could use SSI to prove lines parallel. Slope of a line. . If a line passes through two points (x. 1. ,y. 1. ) and (x. 2. ,y. 2. ), then its slope is given by. The slope of a horizontal line is 0. The slope of a vertical line is undefined. Section 3.1 – Lines and Angles. I CAN identify relationships between figures in space.. I CAN identify angles formed by two lines and a transversal.. Key Vocabulary:. Parallel Lines. Skew Lines. Parallel Planes. Common Core Investigation 4: Geometry Topics. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class, I may:. Make connection with real-world situations. Make connection with other concepts in math. 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”. Draw a third line parallel to, and equidistant between, the first two lines.. Draw a two more lines parallel to the three lines so that you now have five equally spaced lines.. Decide which base pair you will draw, and on which side you will have the purine base and on which side you will have the pyrimidine base..