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NM Standards: GT-A-7
Parallel LinesParallel Lines
Coplanar lines that do not intersect.
The symbol || means “is parallel to”
The red arrows also mean “is parallel to”
Parallel PlanesParallel PlanesTwo or more planes that do not intersect.
Q
R
Skew LinesSkew Lines
Two or more lines that do not intersect but are not parallel.
Skew lines are always on different planes.
mn
Lines m & n are skew lines
Name all planes that are parallel to plane AEF.
Answer: plane BHG
Name all segments that intersect
Answer:
Name all segments that are parallel to
Answer:
Name all segments that are skew to
Answer:
TransversalTransversalA 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. 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.
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
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
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
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 c, d, e, f
Answer: lines a, b, d, e, f
a. line a
b. line b
c. line c
d. line dAnswer: lines a, b, c, e, f
Types of AnglesTypes of AnglesExterior 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 ConceptsKey Concepts
Answer: corresponding
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate exterior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: corresponding
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate exterior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate interior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: consecutive interior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
