Parallel Lines and Transversals

The proper way to write that these lines are parallel is:

Answer explanation

The proper way to write that these lines are parallel is when represented as vectors with arrows over them, like \(\overleftarrow{A}\overrightarrow{B}\parallel\overleftarrow{C}\overrightarrow{D}\).

Parallel Lines: Two (or more) coplanar lines that _________________.

• Intersect at a 90 degree angle.

• Never cross.

• Go in the same direction.

• Are supplementary.

Answer explanation

Parallel Lines: Two (or more) coplanar lines that never cross.

Answer explanation

Segments parallel to AE have the same slope. BF, CG, and HD are parallel to AE as they have the same slope.

Name a plane parallel to plane AEF

• plane HGC

• plane BCF

• plane ABC

Answer explanation

Plane HGC is parallel to plane AEF because they do not intersect and maintain the same distance between each other throughout.

Name a plane parallel to plane EHA

• plane HGC

• plane BCF

• plane ABC

Answer explanation

Plane BCF is parallel to plane EHA because they do not intersect and maintain the same distance between each other throughout.

Name a plane parallel to plane EFG

• plane HGC

• plane BCF

• plane ABC

Answer explanation

Plane ABC is parallel to plane EFG because they do not intersect and maintain the same distance between each other at all points.

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Consecutive Exterior Angles

• Corresponding Angles

Answer explanation

Alternate Exterior Angles are formed when two lines are intersected by a transversal, and the angles are on opposite sides of the transversal and outside the two lines.

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Consecutive Exterior Angles

• Corresponding Angles

Answer explanation

Consecutive Interior Angles are angles that are on the same side of the transversal and inside the parallel lines. In this case, angle 2 and angle 3 are consecutive interior angles.

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Consecutive Exterior Angles

• Corresponding Angles

Answer explanation

Corresponding Angles are formed when two lines are intersected by a transversal, and they occupy the same relative position at each intersection point.

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Consecutive Exterior Angles

• Corresponding Angles

Answer explanation

The relationship between angle 2 and angle 7 is that of Alternate Interior Angles.