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Angles, Parallel Lines, & Triangles

8th Grade

Alabama Course of Study Standards: 25

Analyze and apply properties of parallel lines cut by a transversal to determine missing angle measures.
  1. Use informal arguments to establish that the sum of the interior angles of a triangle is 180 degrees.

Arkansas Academic Standards: 8.G.A.5

Use informal arguments to establish facts about:
  • The angle sum and exterior angle of triangles
For example: Arrange three copies of the same triangle so that the sum of the three angles appears to form a line.
  • The angles created when parallel lines are cut by a transversal
For example: Give an argument in terms of translations about the angle relationships.
  • The angle-angle criterion for similarity of triangles

Common Core State Standards: Math.8.G.5 or 8.G.A.5

Tennessee Academic Standards: 8.G.A.3

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.

North Carolina - Standard Course of Study: 8.G.5

Use informal arguments to analyze angle relationships.
  • Recognize relationships between interior and exterior angles of a triangle.
  • Recognize the relationships between the angles created when parallel lines are cut by a transversal.
  • Recognize the angle-angle criterion for similarity of triangles.
  • Solve real-world and mathematical problems involving angles.

New York State Next Generation Learning Standards: 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.
e.g., Arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.
Note: This standard does not include formal geometric proof. Multiple representations may be used to demonstrate understanding.

Wisconsin Academic Standards: 8.G.A.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.

Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.1.4

Solve mathematical problems involving the relationships between supplementary, complementary, vertical or adjacent angles

Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.1.5

Solve problems involving the relationships of interior and exterior angles of a triangle

Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.1.6

Develop and use formulas for the sums of the interior angles of regular polygons by decomposing them into triangles.
8th Grade Math - Angles, Parallel Lines, & Triangles Lesson
 


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