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Standard: 8.G.5

Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 8th Grade

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.

Standard: G-CO.9

Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and orresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

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