# Study sets matching "honors geometry chapter 3"

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a thi…

COPLANAR lines that do not intersect

NON coplanar lines that to not intersect (think left/right and…

Planes that do not intersect (Think floor and ceiling)

If planes X and Y are parallel, then their lines of intersecti…

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

NON coplanar lines that to not intersect (think left/right and…

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

Parallel Lines

Skew Lines

Parallel Planes

Transversal Line

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 two diffe…

Parallel Lines

Coplanar lines that do not intersect.

Skew Lines

Lines that do not intersect and are not coplanar.

parallel lines

skew lines

parallel planes

parallel postulate

two lines if they do not intersect and are coplanar

two lines if they do not intersect and are not coplanar

two planes if they do not intersect

if there is a line and a point not on a line, then there is ex…

parallel lines

two lines if they do not intersect and are coplanar

skew lines

two lines if they do not intersect and are not coplanar

Transversal

Alternate Interior Angles

Same-Side Interior Angles

Corresponding Angles

A line that intersects 2 coplanar lines at 2 distinct points

Transversal

A line that intersects 2 coplanar lines at 2 distinct points

Alternate Interior Angles

What is the corresponding angles POSTUL…

What is the alternate interior angles t…

What is the alternate exterior angles t…

What is the consecutive interior angles…

If two lines are cut by a transversal so that the correspondin…

If two lines are cut by a transversal so that the alternate in…

If two lines are cut by a transversal so that the alternate ex…

If two lines are cut by a transversal so that the consecutive…

What is the corresponding angles POSTUL…

If two lines are cut by a transversal so that the correspondin…

What is the alternate interior angles t…

If two lines are cut by a transversal so that the alternate in…

Parallel Planes

Parallel Lines

Skew Lines

Transversal

Planes that do not intersect

Coplanar lines that don't intersect

Noncoplanar lines that don't intersect

A line that intersects two other lines

Parallel Planes

Planes that do not intersect

Parallel Lines

Coplanar lines that don't intersect

parallel lines

intersecting lines

skew lines

parallel planes

-coplanar lines that do not intersect, they remain evenly spac…

-coplanar lines that share one point

-non-coplanar lines

-planes that never intersect, spacing remains even

parallel lines

-coplanar lines that do not intersect, they remain evenly spac…

intersecting lines

-coplanar lines that share one point

parallel

skew

transversal

corresponding angles postulate

-lines that do not intersect... -lines in the same plane that do…

lines that are not in the same plane and do not intersect

-line that intersects two or more lines in a plane at differen…

if two parallel lines are cut by a transversal, then each pair…

parallel

-lines that do not intersect... -lines in the same plane that do…

skew

lines that are not in the same plane and do not intersect

congruent triangles

congruent polygons

reflexive property

slide

triangles with all pairs of corresponding parts congruent

polygons with all pairs of corresponding parts congruent

when a side or angle is congruent with/shared with itself

move straight in one direction

congruent triangles

triangles with all pairs of corresponding parts congruent

congruent polygons

polygons with all pairs of corresponding parts congruent

parallel lines

skew lines

parallel planes

transversal

coplanar lines that don't intersect

noncoplanar; they aren't parallel and don't intersect

planes that don't intersect

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

parallel lines

coplanar lines that don't intersect

skew lines

noncoplanar; they aren't parallel and don't intersect

Parallel lines

Skew lines

Parallel planes

Transversal

Two lines that do not intersect and are coplanar

Lines that do not intersect and are not coplanar

Two planes that do not intersect

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

Parallel lines

Two lines that do not intersect and are coplanar

Skew lines

Lines that do not intersect and are not coplanar

Parallel Line

Skew Line

Parallel Planes

interior angles

coplanar line that do not cross

lines that do not intersect and are not coplanar

planes that do not intersect

line in the region between lines

Parallel Line

coplanar line that do not cross

Skew Line

lines that do not intersect and are not coplanar

Sketch

Draw

Construct

Median

Free hand - No tools needed - No measurments needed

Careful and accurate - Use protractor and ruler - tools are us…

ONLY uses compass and straight edge - NO measuring w/ protract…

Connects vertex to midpoint

Sketch

Free hand - No tools needed - No measurments needed

Draw

Careful and accurate - Use protractor and ruler - tools are us…

parallel lines

skew lines

transversal

alternate interior angles

coplanar lines that do not intersect

non coplanar lines ,they are neither parallel nor intersecting

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

two nonadjacent interior angles on opposite sides of the trans…

parallel lines

coplanar lines that do not intersect

skew lines

non coplanar lines ,they are neither parallel nor intersecting

CPCTC

angle bisector

perpendicular bisector

Median

Corresponding ... Parts of ... Congruent ... Triangle are... Congruent

a ray that divides an angle into 2 congruent angles- max 3

a ray or segment that bisects a segment into 2 congruent segme…

a segment drawn from a vertex of a triangle to the midpoint of…

CPCTC

Corresponding ... Parts of ... Congruent ... Triangle are... Congruent

angle bisector

a ray that divides an angle into 2 congruent angles- max 3

sketch

draw

construct

segment bisector

make freehand

use a protractor and ruler to be sure angles and sides are exa…

use compass and straight edge, do not erase

a line, ray, or segment that passes through the midpoint of th…

sketch

make freehand

draw

use a protractor and ruler to be sure angles and sides are exa…

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 two diffe…

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Lines that do not intersect and are NOT coplanar

Parallel lines

Skew lines

Parallel planes

Postulate 13/14: Parallel/perpendicular…

Coplanar lines that do jot intersect

Non-Coplanar lines that do not intersect

Planes that do not intersect

If there is a line and a point not on that line, then there is…

Parallel lines

Coplanar lines that do jot intersect

Skew lines

Non-Coplanar lines that do not intersect

Skew

Transversal

Corresponding angles

Alternate interior angles

No points in common, not in the same plane

A line which intersects two or more coplanar lines at differen…

Make an F shape

Make a Z shape, on opposite sides of the transversal and inner…

Skew

No points in common, not in the same plane

Transversal

A line which intersects two or more coplanar lines at differen…

Alternate Exterior Angles

Alternate Interior Angles

Corresponding angles

Distance From a Point to a Line

For two lines intersected by a transversal, a pair of angles t…

For two lines intersected by a transversal, a pair of nonadjac…

For two lines intersected by a transversal, a pair of angles t…

The length of the perpendicular segment from the point to the…

Alternate Exterior Angles

For two lines intersected by a transversal, a pair of angles t…

Alternate Interior Angles

For two lines intersected by a transversal, a pair of nonadjac…

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 instersect

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

parallel lines

coplanar lines that do not intersect

skew lines

lines that do not intersect and are not coplanar

Undefined Terms

Carefully Defined

Postulates

Theorems

Such as point, line, plane

Most terms in a mathematical system are

Basic properties accepted without proofs

Other properties established by proofs

Undefined Terms

Such as point, line, plane

Carefully Defined

Most terms in a mathematical system are