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3.1 – Identify Pairs of Lines and Angles

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.

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3.1 – Identify Pairs of Lines and Angles

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  1. 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.

  2. 3.1 – Identify Pairs of Lines and Angles

  3. 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.

  4. 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 and containing point A.

  5. 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.

  6. 3.1 – Identify Pairs of Lines and Angles

  7. 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?

  8. 3.1 – Identify Pairs of Lines and Angles A transversal is a line that intersects two or more coplanar lines at different points.

  9. 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

  10. 3.1 – Identify Pairs of Lines and Angles Example 4: Classify the pair of numbered angles. a. b. c.

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