3.1 – Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not...

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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.

description

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? a.Line(s) // to Line CD and containing point A b.Line(s) skew to Line CD and containing point A.

Transcript of 3.1 – Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not...

Page 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.

3.1 – Identify Pairs of Lines and AnglesParallel 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.

Page 2: 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.

3.1 – Identify Pairs of Lines and Angles

Page 3: 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.

3.1 – Identify Pairs of Lines and AnglesExample 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?a. Line(s) // to Line CD and

containing point Ab. Line(s) skew to Line CD and

containing point A.

Page 4: 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.

3.1 – Identify Pairs of Lines and AnglesExample 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?c. Line(s) perpendicular to Line CD

and containing point A.d. Plane(s) parallel to plane EFG

and containing point A.

Page 5: 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.

3.1 – Identify Pairs of Lines and AnglesPARALLEL AND PERPENDICULAR LINES

Through a point not on a line, there are infinitely many lines.

Exactly one parallel.

Exactly one perpendicular.

Page 6: 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.

3.1 – Identify Pairs of Lines and Angles

Page 7: 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.

3.1 – Identify Pairs of Lines and AnglesExample 2:

The figure shows a swing set on a playground.

Name a pair of perpendicular lines.a. Name a pair of parallel line.

b. Is Line DH perp to Line LM? Explain?

Page 8: 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.

3.1 – Identify Pairs of Lines and AnglesA transversal is a line that intersects two or

more coplanar lines at different points.

Page 9: 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.

3.1 – Identify Pairs of Lines and AnglesExample 3:

Identify all pairs of angles of the given type.a. Correspondingb. Alternate Interiorc. Alternate Exteriord. Consecutive Interior

Page 10: 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.

3.1 – Identify Pairs of Lines and AnglesExample 4:

Classify the pair of numbered angles.a. b.

c.


Cloud Object Storage | Store & Retrieve Data Anywhere ... · Lines m and k are skew lines. Planes T and U are parallel planes (T Il U). Lines k and n are intersecting lines, and there

Cloud Object Storage | Store & Retrieve Data Anywhere ... · Lines m and k are skew lines. Planes T and U are parallel planes (T Il U). Lines k and n are intersecting lines, and there

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