PPT-Angles on Straight Lines

What Sum of angles on straight lines How Discovering how to measure angles at different points on straight lines Why A o B 10 20 30 40 50 60 70 80 90   o   A O B A O B. 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. Terra Alta/East Preston . School. Geometry Unit. Ray. Ray. --part of a line that has one. endpoint and goes on endlessly. in the other direction.. Congruent. Equal in size and shape.. Degrees. The unit used to. My math presentation of parallel and perpendicular lines… . And . mathiness. and history. These were from some ancient Roman or Greek guy. . H. is name was Euclid (for parallel). Though there was much talk about lines that crossed in a 90 degree way, the first time it was used in math was by a French philosopher named Cartesian.. 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. When drawing, h. ow . do straight lines become curved lines?. Designed for DVI by Camilla S. Haneberg. What is a line anyway?. Line has MANY different meanings: you can wait in line, there is a line of scrimmage in football, line is used in math all the time, it can be a fabricated thought…”can you believe the line that guy used?”. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . 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. Unit 3: This unit Introduces Transversals, and angles based on transversals, including corresponding angles, Same Side Interior Angles, Alternate Exterior and Alternate Interior Angles, and the unique properties of Perpendicular Transversals. . 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. Exemplification Work out the size of each angle. Diagrams are not drawn accurately. 72.5° 162 ° 206° D E F O °   °   Form and solve an equation and find the value of .   _______   FOE Angles of Triangles Objectives Find angle measures in triangles. Key Vocabulary Supplementary Angles Complementary Angles Exterior angles Interior angles Additional Vocabulary Theorem - Mathematics. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas. 2. a rule or law, especially one expressed by an equation or formula