1. ABC with exterior angle BCD1. Given 2. Through C, draw line parallel to _ AB. 2. Through a point outside a line, there is exactly one line parallel to the given line. 3. m 1 m 3 3. lines corr. 4. m 2 m 4 4. lines alt. int. 5. m BCD m 3 m 4 5. Add. Post. 6. m BCD m 1 m 2 6.
Angles 8 and 2 and angles 3 and 7 are on opposite sides of the transversal and between (interior) the parallel lines. We call these angles alternate interior angles. Angles 1 and 5 and angles 4 and 6 are on opposite sides of the transversal and above and below (exterior to) the parallel lines. We call these angles alternate exterior angles.
Review 2.1 - 2.3. 10/15/19 Mathematical Modeling Practice. 10/17/19 Conditional Statements Practice . 10/18/19 Riddle Me This Angle Relationships Practice. 10/22/19 Parallel Lines and Transversals. 10/23/19 Special Angle Relationship Practice Riveting River. 10/25/19 Practice with Slope. 10/29/19 Chapter 2 Review . 11/05/19 Law Breaker Interior ... Parallel Lines Cut by a Transversal Practice and Problem Solving: C At the right is a map of Littleton. North Street, Center Street, and South Street are parallel. Use the description to complete Exercises 1–2. 1. Avenue A is perpendicular to North Street. What is the relationship between Avenue A and South Street? Explain your reasoning.
Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
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