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NM Standards: GT-A-7

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Parallel Lines Coplanar lines that do not intersect. The symbol || means is parallel to The red arrows also mean is parallel to

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Parallel Planes Two or more planes that do not intersect. Q R

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Skew Lines Two or more lines that do not intersect but are not parallel. Skew lines are always on different planes. m n Lines m & n are skew lines

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Example 1-1a Name all planes that are parallel to plane AEF. Answer: plane BHG

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Example 1-1b Name all segments that intersect Answer:

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Example 1-1c Name all segments that are parallel to Answer:

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Example 1-1d Name all segments that are skew to Answer:

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Example 1-1e

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Transversal A line that intersects two or more other lines in a plane at different points The two or more lines do NOT have to be parallel.

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Example 1-2a BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line v is a transversal. Answer: If the lines are extended, line v intersects lines u, w, x, and z.

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Example 1-2b BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line y is a transversal. Answer: lines u, w, x, z

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Example 1-2c BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line u is a transversal. Answer: lines v, x, y, z

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Example 1-2d BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line w is a transversal. Answer: lines v, x, y, z

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Example 1-2e HIKING A group of nature trails is shown. Identify the sets of lines to which each given line is a transversal. Answer: lines c, d, e, f Answer: lines a, b, d, e, f a. line a b. line b c. line c d. line d Answer: lines a, b, c, e, f

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Types of Angles Exterior Angles: Angles that lie outside the lines cut by a transversal Interior Angles: Angles that lie between the lines cut by a transversal Consecutive Interior Angles: Pairs of interior angles formed by a transversal that lie on the same side of the transversal and share a side. Alternate Exterior Angles: Pairs of exterior angles formed by a transversal that lie on opposite sides of the transversal. Alternate Interior Angles: Pairs of interior angles formed by a transversal that lie on opposite sides of the transversal. Corresponding Angles: Pairs of angles formed by a transversal that lie on the same side of the transversal, but one is interior and one is exterior.

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Key Concepts

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Example 1-3a Answer: corresponding Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

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Example 1-3b Answer: alternate exterior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

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Example 1-3c Answer: corresponding Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

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Example 1-3d Answer: alternate exterior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

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Example 1-3e Answer: alternate interior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

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Example 1-3f Answer: consecutive interior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

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Example 1-3g

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