Common Core Learning Concepts Embedded Skills Vocabulary Standards Prove/explain why the three angles of a triangle Triangle Understand congruence and equal 180°. Similar similarity using physical models, Prove/explain why the exterior angle theorem of a Parallel lines transparencies, or geometry Transversal triangle. software. Congruent 8.G.5. Prove/explain why alternate interior angles are Supplementary Use informal arguments to establish facts congruent. Linear pair about the angle sum and exterior angle of Prove/explain why alternate exterior angles are Corresponding triangles, about the angles created when congruent. Vertical parallel lines are cut by a transversal, and the Alternate, Prove/explain why corresponding angles are angle-angle criterion for similarity of triangles. exterior, congruent. For example, arrange three copies of the same interior angles Prove/explain why angle-angle criterion works to triangle so that the sum of the three angles prove similarity of two triangles. appears to form a line, and give an argument in terms of transversals why this is so. SAMPLE TASKS Given that is parallel to , prove that the angles of triangle BED add up to .
Common Core Learning Standards Concepts Embedded Skills Vocabulary Understand congruence and similarity using physical models, transparencies, or geometry software. Prove/explain why the three angles of a triangle equal 180°. Triangle Similar Parallel lines Transversal Congruent Supplementary Linear pair Corresponding Vertical Alternate, exterior, interior angles Prove/explain why the exterior angle theorem of a triangle. 8.G.5. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. Prove/explain why alternate interior angles are congruent. Prove/explain why alternate exterior angles are congruent. Prove/explain why corresponding angles are congruent. Prove/explain why angle-angle criterion works to prove similarity of two triangles. SAMPLE TASKS Given that is parallel to , prove that the angles of triangle BED add up to .
8.g.1-8.g.9_tasks_grade+8+geometry.docx