# NM Standards: GT-A-7.

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NM Standards: GT-A-7

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

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

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

Name all planes that are parallel to plane AEF.

Name all segments that intersect

Name all segments that are parallel to

Name all segments that are skew to

Example 1-1e

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.

BUS STATION Some of a bus station’s driveways are shown
BUS STATION Some of a bus station’s 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. Example 1-2a

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

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

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

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

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.

Key Concepts

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

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

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

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

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