Definition--Angle Concepts--Alternate Interior Angles
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Geometry >> Angles and Planes >> Definition of an Angle

Definition--Angle Concepts--Alternate Interior Angles

Alternate Interior Angles

Alternate Interior Angles

Topic

Angles

Definition

Alternate interior angles are pairs of angles formed when a transversal crosses two parallel lines, and they lie on opposite sides of the transversal and inside the parallel lines.

Description

Alternate interior angles are equal when the lines are parallel, making them a useful tool for proving parallelism in geometric problems. They are commonly used in proofs and problem-solving involving parallel lines and transversals. In real-world scenarios, alternate interior angles are applied in architecture and engineering to ensure structures are parallel and aligned correctly. For students, understanding alternate interior angles is crucial for mastering geometric proofs and understanding the properties of parallel lines, enhancing their logical reasoning and problem-solving skills.

Alternate Interior Angles
How are intersecting roads like parallel lines cut by a transversal?

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
Grade Range 4 - 8
Curriculum Nodes Geometry
    • Angles and Planes
        • Definition of an Angle
Copyright Year 2021
Keywords angle, definitions, glossary term