3.1 – Identify Pairs of Lines and Angles

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3.1 Identify Pairs of Lines and Angles
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Presentation transcript:

3.1 – Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not intersect AND are coplanar Skew Lines: Two lines are skew lines if they do not intersect and ARE NOT coplanar. Parallel Planes: Two planes are parallel if they do NOT intersect.

3.1 – Identify Pairs of Lines and Angles

3.1 – Identify Pairs of Lines and Angles Example 1: Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description? Line(s) // to Line CD and containing point A Line(s) skew to Line CD and containing point A.

3.1 – Identify Pairs of Lines and Angles Example 1: Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description? Line(s) perpendicular to Line CD and containing point A. Plane(s) parallel to plane EFG

3.1 – Identify Pairs of Lines and Angles PARALLEL AND PERPENDICULAR LINES Through a point not on a line, there are infinitely many lines. Exactly one parallel. Exactly one perpendicular.

3.1 – Identify Pairs of Lines and Angles

3.1 – Identify Pairs of Lines and Angles Example 2: The figure shows a swing set on a playground. Name a pair of perpendicular lines. Name a pair of parallel line. Is Line DH perp to Line LM? Explain?

3.1 – Identify Pairs of Lines and Angles A transversal is a line that intersects two or more coplanar lines at different points.

3.1 – Identify Pairs of Lines and Angles Example 3: Identify all pairs of angles of the given type. Corresponding Alternate Interior Alternate Exterior Consecutive Interior

3.1 – Identify Pairs of Lines and Angles Example 4: Classify the pair of numbered angles. a. b. c.

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