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8th Grade MIU 2: 2D Geometry 2 Angle Measures Essential Question What angles are congruent if two parallel lines are cut by a transversal? What angles are supplementary if two parallel lines are cut by a transversal? Learning Targets *I can determine unknown angle measures using known angle relationships created by two parallel lines and a transversal. *I can identify special angle pairs by understanding the relationships between parallel lines and transversals. *I can use facts from the angle sum and exterior angles or triangles to create a conjecture to classify and solve for angles in polygons. Key Vocabulary – write your own definition or provide your own example for each of the following: Exterior Angles Interior Angles Alternate Exterior Angles Alternate Interior Angles Same Side Interior Angles Corresponding Angles REVIEW FROM 7TH GRADE Transversal Adjacent Angles Supplementary Angles Billhimer Complementary Angles Self-Evaluation; 8th Grade, MIU 2, 2D Geometry 2 – Angle Measures Analyze each of the following skills using the following rubric. Put today’s date under each skill level to indicate your learning progress. Score 4 3 2 1 What does this mean? I understand it, I can do it, and I can comfortably explain it to another learner. I can do this! I am confident that I understand it and think I can apply it. I am learning, but I am not quite there yet. I am not there yet. I need a lot of help. Skills a. I can explain why the sum of the interior angles of a triangle is 180 degrees. 8.G.5 b. I can explain why an exterior angle of a triangle is equal to the sum of the opposite interior angles. 8.G.5 c. I can explain why the sum of the three exterior angles of a triangle equals 360 degrees. 8.G.5 d. I can use my knowledge of interior and exterior angle relationships in triangles to find unknown angle measurements to solve real-world and mathematical problems. 8.G.5 e. I can explain how to use the relationships of angles created when parallel lines are cut by a transversal. 8.G.5 f. I can use my understanding of angle relationships to find unknown angle measurements to solve real-world and mathematical problems. 8.G.5 g. I can explain the angle-angle criterion for similarity of triangles. 8.G.5 My own skills I learned: h. i. j. Helpful Diagrams: Billhimer 1 2 3 4