nm standards: gt-a-7

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.

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.

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.

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.

Linear Pairs: Two angles whose non-common sides create a straight line

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.

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