Display Title
Definition--Angle Concepts--Alternate Exterior Angles
Display Title
Alternate Exterior Angles
Topic
Angles
Definition
Alternate exterior angles are pairs of angles formed when a transversal crosses two parallel lines, and they lie on opposite sides of the transversal and outside the parallel lines.
Description
Alternate exterior angles are a key concept in the study of parallel lines and transversals, often used to prove lines are parallel. They are equal in measure when the lines are parallel, providing a basis for solving geometric proofs and problems. In real-world applications, alternate exterior angles are used in design and engineering to ensure parallelism and symmetry, such as in the alignment of beams in construction. In math education, understanding alternate exterior angles helps students develop skills in logical reasoning and proof, as well as in recognizing angle relationships in complex figures.
For a complete collection of terms related to Angles click on this link: Angles Collection.
Common Core Standards | CCSS.MATH.CONTENT.2.G.A.1, CCSS.MATH.CONTENT.4.MD.C.5, CCSS.MATH.CONTENT.4.G.A.1, CCSS.MATH.CONTENT.7.G.B.5 |
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Grade Range | 4 - 8 |
Curriculum Nodes |
Geometry • Angles and Planes • Definition of an Angle |
Copyright Year | 2021 |
Keywords | angle, definitions, glossary term |