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Geometry: Parallel Lines & Angles

This document defines and provides examples of parallel lines and relationships between angles formed by a transversal crossing parallel lines. It explains that parallel lines never meet and are always the same distance apart. When a transversal crosses parallel lines, the corresponding angles and alternate angles formed are equal, and the sum of the co-interior angles is 180 degrees.

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43 views9 pages

Geometry: Parallel Lines & Angles

This document defines and provides examples of parallel lines and relationships between angles formed by a transversal crossing parallel lines. It explains that parallel lines never meet and are always the same distance apart. When a transversal crosses parallel lines, the corresponding angles and alternate angles formed are equal, and the sum of the co-interior angles is 180 degrees.

Uploaded by

api-254720932
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Angle Relationships

Parallel Lines

What are parallel lines?


Definition:
Two lines on a plane that never meet.
They are always the same distance apart
and never touching.

Examples of Parallel Lines

The Transversal
A Transversal is a line that crosses at least two
other lines.

Types of Relationships
Corresponding Angles

Alternate Angles

Co-interior Angles

Corresponding Angles
When two parallel lines are
crossed by another line, the
transversal, the angles in
matching corners are called
corresponding angles and are
equal.

Alternate Angles
When two lines are crossed the
transversal, the pairs of angles on
opposite sides of the transversal
but inside the two lines are called
alternate angles and are equal.

Co-interior Angles
Co-interior angles are pairs of
angles inside the parallel lines
and on the same side of the
transversal.
Co-interior angles sum to 180.

Summary

=
=
+

(corresponding angles)
(alternate angles)
= 180 (co-interior angles)

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