NM Standards: GT-A-7
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Transcript of NM Standards: GT-A-7
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NM Standards: GT-A-7
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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.
m
n
Lines m & n are skew lines
Skew LinesSkew LinesTwo or more lines that do not intersect but are not parallel.
Skew lines are always on different planes.
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Name all planes that are parallel to plane AEF.
Answer: plane BHG
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Name all segments that intersect
Answer:
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Name all segments that are parallel to
Answer:
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Name all segments that are skew to
Answer:
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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.
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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
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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.
Linear Pairs: Two angles whose non-common sides create a straight line
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Answer: corresponding
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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Answer: alternate exterior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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Answer: corresponding
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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Answer: alternate exterior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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Answer: alternate interior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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Answer: consecutive interior
Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
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