# Study sets matching "honors geometry chapter 3"

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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

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

alternate exterior angles

alternate interior angles

consecutive interior angles

corresponding angles

Two angles that are formed by two lines and a transversal that…

Two angles that are formed by two lines and a transversal that…

Two angles that are formed by two lines and a transversal that…

Two angles that are formed by two lines and a transversal that…

alternate exterior angles

Two angles that are formed by two lines and a transversal that…

alternate interior angles

Two angles that are formed by two lines and a transversal that…

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

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

Consecutive Interior Angles

Two angles that are formed by two lines and a transversal and…

Two angles that are formed by two lines and a transversal and…

Two angles that are formed by two lines and a transversal and…

Two angles that are formed by two lines and a transversal and…

Corresponding Angles

Two angles that are formed by two lines and a transversal and…

Alternate Interior Angles

Two angles that are formed by two lines and a transversal and…

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 lines

skew lines

parallel planes

parallel line and plane

coplanar lines that do not intersect

noncoplanar lines; therefore, lines that are neither parallel…

planes that do not intersect

a line and plane that do not intersect

parallel lines

coplanar lines that do not intersect

skew lines

noncoplanar lines; therefore, lines that are neither parallel…

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

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

transversal

alternate exterior angle angle theorm

alternate interior angle theorm

same side interior angle theorm

a line that crosses 2 or more coplanar lines at different poin…

if two parallel lines are cut by a transversal, alternate exte…

if two parallel lines are cut by a transversal, alternate inte…

if two parallel lines are cut by a transversal, same side inte…

transversal

a line that crosses 2 or more coplanar lines at different poin…

alternate exterior angle angle theorm

if two parallel lines are cut by a transversal, alternate exte…

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

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

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

Theorem

Alt Int ∠'s ≅

Alt Ext∠'s ≅

Same Side Int ∠'s Supp

If plane A is parallel to plane B and l is and element of A an…

If you have parallel lines cut by a transversal, then alternat…

If you have parallel lines cut by a transversal, then alternat…

If you have parallel lines cut by a transversal, then same sid…

Theorem

If plane A is parallel to plane B and l is and element of A an…

Alt Int ∠'s ≅

If you have parallel lines cut by a transversal, then alternat…

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…

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

Parallel Lines

Skew lines

Parallel Planes

Transversal

Are coplanar lines that do not intersect.

Are lines that do not intersect and are not coplanar.

Are planes that do not intersect.

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

Parallel Lines

Are coplanar lines that do not intersect.

Skew lines

Are lines that do not intersect and are not coplanar.

Parallel lines

Skew lines

Parallel planes

Transversal

coplanar lines that do not intersect

lines that do no intersect and are not coplanar

planes that do no 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 no 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