Parallel Lines and Angles Geometry
Explore the properties of parallel lines in geometry such as types of angles, corresponding angles, and transversals. Learn how to identify and find measures of angles using examples and postulates. Discover the relationships between angles formed by a transversal intersecting parallel lines.
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Presentation Transcript
3-1 PROPERTIES OF PARALLEL LINES GEOMETRY
Vocabulary A transversal is a line that intersects two coplanar lines at two distinct points. (8 angles are formed)
4 Types of Angles 1) Alternate Interior Angles 2) Same-side Interior Angles 3) Corresponding Angles 4) Alternate Exterior Angles
Example 1: Identifying Angles 1) Same side Interior Angles 2) Corresponding Angles
Postulate 3-1: Corresponding Angles If a transversal intersects two parallel lines, then corresponding angles are congruent. Example:
Alternate Interior/Exterior Angles If a transversal intersects two parallel lines, then alternate interior angles and the alternate exterior angles are congruent. Example:
Same Side Interior Angles If a transversal intersects two parallel lines, then same-side interior angles are supplementary. Example:
EXAMPLE 2: Finding Measures of Angles.
