#### Study sets matching "geometry chapter 3"

#### Study sets matching "geometry chapter 3"

parallel lines

perpendicular lines

skew lines

parallel planes

coplanar lines that do not intersect

lines that intersect at a 90 degree angle

lines that are not coplanar, not parallel and do not intersect

planes that do not intersect

parallel lines

coplanar lines that do not intersect

perpendicular lines

lines that intersect at a 90 degree angle

Transversal

Skew Lines

Remote Interior Angles

Exterior angles of a triangle

A line that intersects two or more coplanar lines at different…

Lines that do not intersect and are not coplanar

The angles of a triangle that are not adjacent to a given exte…

An angle formed by a side and an extension of an adjacent side

Transversal

A line that intersects two or more coplanar lines at different…

Skew Lines

Lines that do not intersect and are not coplanar

parallel lines

skew lines

parallel planes

transversal

coplanar lines that do not intersect

lines that are not coplanar and do not intersect

planes that do not intersect

a line that intersects two or more coplanar lines at distinct…

parallel lines

coplanar lines that do not intersect

skew lines

lines that are not coplanar and do not intersect

Parallel lines

Intersecting lines

Coincident lines

Skew lines

Lines on the same plane that never intersect

Lines that meet at 1 point

Two lines that have all their points in common

Two lines that do not intersect and are not coplanar

Parallel lines

Lines on the same plane that never intersect

Intersecting lines

Lines that meet at 1 point

Parallel Lines

Skew lines

Parallel Planes

Transversal

Coplanar lines that do not intersect

Noncoplanar, they are not parallel and do not intersect

Planes that do not intersect

A line that intersects two or more coplanar lines at distinct…

Parallel Lines

Coplanar lines that do not intersect

Skew lines

Noncoplanar, they are not parallel and do not intersect

How are skew lines and parallel lines t…

How are skew lines and parallel lines d…

Theorem 3-13: What is the formula for t…

Postulate 10 - What does || lines -> co…

They are both pairs of lines that never intersect.

Parallel lines are coplanar. Skew lines are non-coplanar. The…

If two parallel lines are cut by a transversal, then correspon…

How are skew lines and parallel lines t…

They are both pairs of lines that never intersect.

How are skew lines and parallel lines d…

Parallel lines are coplanar. Skew lines are non-coplanar. The…

Transversal

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

A line that intersects 2 or more lines

2 angles that have the same position- Congruent when the 2 lin…

Angles on the interior of the line and on opposite sides of th…

Angles on the exterior of the line and on opposite sides of th…

Transversal

A line that intersects 2 or more lines

Corresponding Angles

2 angles that have the same position- Congruent when the 2 lin…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

coplanar lines that do not intersect

non coplanar lines (not parallel or intersecting)

Planes that do not intersect

the line that intersects two or more coplanar lines in differe…

Parallel Lines

coplanar lines that do not intersect

Skew Lines

non coplanar lines (not parallel or intersecting)

conclusion

converse

contrapositive

conjecture

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (~q -> ~p)

guess

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

alternate exterior angles

alternate interior angles

consecutive interior angles

equidistant

the pairs of angles on opposite sides of the transversal but o…

the pairs of angles on opposite sides of the transversal but i…

the pairs of angles on the side of the transversal but inside…

at equal distances

alternate exterior angles

the pairs of angles on opposite sides of the transversal but o…

alternate interior angles

the pairs of angles on opposite sides of the transversal but i…

Parallel Lines

Skew Lines

Parallel Planes

Perpendicular Lines

Two coplanar lines that never intersect

Two non-coplanar lines that never intersect

Two planes that never intersect

Two coplanar lines that intersect and create a right angle

Parallel Lines

Two coplanar lines that never intersect

Skew Lines

Two non-coplanar lines that never intersect

acute angle

adjacent angles

angle

angle bisector

an angle whose measure is less than 90

two angles that share a common side and have the same vertex,…

a figure formed by two noncollinear rays that have a common en…

a ray whose endpoint is the vertex and is located in the inter…

acute angle

an angle whose measure is less than 90

adjacent angles

two angles that share a common side and have the same vertex,…

Transversal

Parallel Lines

Skew lines

Parallel planes

A line that intersects two or more lines in a plane at differe…

Coplanar lines that do not intersect and have the same slope

Lines that do not intersect and are not coplanar

Planes that do not intersect and ave the same slope

Transversal

A line that intersects two or more lines in a plane at differe…

Parallel Lines

Coplanar lines that do not intersect and have the same slope

Parallel

Skew

Transversal

Corresponding

Lines that do not intersect

Lines that do not intersect and are not coplanar

A line that intersect a set of parallel lines

A pair of angles that are in the "same spot" and do not touch…

Parallel

Lines that do not intersect

Skew

Lines that do not intersect and are not coplanar

intersecting line

parallel lines

skew lines

parallel planes

coplanar non- parallel lines

coplanar lines that do not intersect

non coplanar lines that are not parallel and do not intersect

planes that do not intersect

intersecting line

coplanar non- parallel lines

parallel lines

coplanar lines that do not intersect

parallel lines

skew lines

line and a plane are parallel if...

transversal

coplanar lines that do not intersect

noncoplanar lines. Therefore, neither parallel nor intersecting

they do not intersect

line that intersects two or more coplanar lines in different p…

parallel lines

coplanar lines that do not intersect

skew lines

noncoplanar lines. Therefore, neither parallel nor intersecting

Parallel lines

Skew lines

Parallel planes

Transversal

Are are coplanar lines that do not intersect. Have the same sl…

Non-coplanar, do not intersect and are not parallel.

Are planes that do not intersect. Plane ABGH II Plane DCFE.

A line that intersects 2 or more coplanar lines distinct point…

Parallel lines

Are are coplanar lines that do not intersect. Have the same sl…

Skew lines

Non-coplanar, do not intersect and are not parallel.

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Coplanar lines that do not intersect.

Are lines that do not intersect and are not coplanar.

Planes that do not intersect.

A line that intersects two or more coplanar lines at two diffe…

Parallel Lines

Coplanar lines that do not intersect.

Skew Lines

Are lines that do not intersect and are not coplanar.

Alternate exterior angles

Alternate interior angles

Corresponding angles

Exterior angle of a polygon

Angles that lie outside a pair of lines and on opposite sides…

inside the parallel lines, opposite sides of the transversal

Angles in the same place on different lines

an angle that forms a linear pair with one of the angles of th…

Alternate exterior angles

Angles that lie outside a pair of lines and on opposite sides…

Alternate interior angles

inside the parallel lines, opposite sides of the transversal

Parallel lines

Skew lines

Parallel planes

transversal

parallel lines are coplanar lines that do not intersect

skew lines are lines that do not intersect and are not coplana…

parallel planes are planes that do not intersect

a line that intersects two or more coplanar lines at two diffe…

Parallel lines

parallel lines are coplanar lines that do not intersect

Skew lines

skew lines are lines that do not intersect and are not coplana…

Skew Lines

Transversal

Parallel Planes

Interior angles

Lines that do not intersect and are not coplanar

a line that intersects two or more lines

two planes that do not intersect

angles on the inside of the parallel lines... Angles 5 and 4 are…

Skew Lines

Lines that do not intersect and are not coplanar

Transversal

a line that intersects two or more lines

Parallel lines (II lines)

Skew lines

Theorem 3-1

Postulate 10

coplanar lines that do not intersect

noncoplanar lines that are neither parallel or intersecting

If 2 parallel planes are cut by a third plane, then the lines…

If 2 parallel lines are cut by a trans., then corresponding an…

Parallel lines (II lines)

coplanar lines that do not intersect

Skew lines

noncoplanar lines that are neither parallel or intersecting

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transvers…

Nonadjacent exterior angles that lie on opposite sides of the…

Angles that lie on the same side of the traversal and in corre…

Interior angles that lie on the same side of the transversal.…

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transvers…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Planes that do not intersect.

A line that intersects two or more coplanar lines at different…

Parallel Lines

Coplanar lines that do not intersect.

Skew Lines

Lines that do not intersect and are not coplanar.