PPT-3-3 Proving Lines 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. 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.. 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. 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). 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. 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.. By,. Michael . Thiel. and Lauren . Larar. . . What Family?. First, you must identify what family the quadrilateral falls under.. Parallelogram. , . Trapezoid. ,. . quadrilateral.. Proving that a quadrilateral is a Rectangle. 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. 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. 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. 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? . 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”.