# Study sets matching "honors geometry 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…

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…

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

Betweenness of points theorem

Betweenness of rays theorem

Complements of the same angle

Supplements of the same angle

A-B-C, then AB+BC=AC

OA-OB-OC, then <AOB+<BOC=<AOC

are equal

are equal

Betweenness of points theorem

A-B-C, then AB+BC=AC

Betweenness of rays theorem

OA-OB-OC, then <AOB+<BOC=<AOC

point

line

postulate

axiom

an exact location in space

a set of points that extend infinetly in both directions

something accepted as true without proof; an axiom

Self-evident truth requiring no proof; universally or generall…

point

an exact location in space

line

a set of points that extend infinetly in both directions

Segment Addition Postulate

Protractor Postulate

An angle can be named in 4 ways

Angle Addition Postulate

If b is between A and C, then AB + BC= AC

To find the measure in degrees of an angle, compute the absolu…

For example : <abc ... 1. <1( if it has a number label)... 2. <b... 3.…

If point b lies in the interior of < AOC then m<AOB+m<BOC =m<A…

Segment Addition Postulate

If b is between A and C, then AB + BC= AC

Protractor Postulate

To find the measure in degrees of an angle, compute the absolu…

Line AB

collinear points

plane

coplanar

2 or more points joined with no thickness or width that extend…

points that lie on the same line

flat 2 dimensional surface that extends indefinitely in all di…

objects that lie on the same plane

Line AB

2 or more points joined with no thickness or width that extend…

collinear points

points that lie on the same line

Corresponding Angles Postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Consecutive Interior Angles Theorem

If 2 lines cut by a transversal are parallel, then the corresp…

If 2 lines cut by a transversal are parallel, then the alterna…

If 2 lines cut by a transversal are parallel, then the alterna…

If 2 lines cut by a transversal are parallel, then the corresp…

Corresponding Angles Postulate

If 2 lines cut by a transversal are parallel, then the corresp…

Alternate Interior Angles Theorem

If 2 lines cut by a transversal are parallel, then the alterna…

Scalene Triangle

Isosceles Triangle

Equilateral Triangle

Acute Triangle

A triangle with 0 congruent sides

A triangle with 2 congruent sides

A triangle with 3 congruent sides

A triangle with 3 acute angles

Scalene Triangle

A triangle with 0 congruent sides

Isosceles Triangle

A triangle with 2 congruent sides

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

Inductive reasoning

conjecture

counterexample

point

reasoning based on patterns you observe

conclusion you reach using inductive reasoning

example for which the conjecture is incorrect

location

Inductive reasoning

reasoning based on patterns you observe

conjecture

conclusion you reach using inductive reasoning

alternate exterior angles

alternate interior angles

consecutive interior angles

corresponding angles

nonadjacent exterior angles that lie on opposite sides of the…

nonadjacent interior angles that lie on opposite sides of the…

interior angles that lie on the same side of the transversal

lie on the same side of the transversal and on the same side a…

alternate exterior angles

nonadjacent exterior angles that lie on opposite sides of the…

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the…

Point

Line

Plane

Collinear Points

a location; has no size

a straight path that extends in two opposite directions withou…

a flat surface that extends without end and has no thickness;…

points that lie on the same line

Point

a location; has no size

Line

a straight path that extends in two opposite directions withou…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Two lines are ___ if they lie in the same plane and do not int…

Lines that do not lie on the same plane.

Planes that do not intersect.

A line that intersects two or more lines at distinct points.

Parallel Lines

Two lines are ___ if they lie in the same plane and do not int…

Skew Lines

Lines that do not lie on the same plane.

parallel lines

skew lines

parallel planes

transversal

two lines side by side that do not intersect or meet

noncoplanar and non-intersecting lines

two planes that do not intersect

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

parallel lines

two lines side by side that do not intersect or meet

skew lines

noncoplanar and non-intersecting lines

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite r…

converse of corresponding angles postul…

parallel postulate

alternate exterior angles converse

consecutive interior angles converse

if two line are cut by a transversal so that corresponding ang…

if given a line and a point not on the line, then there exists…

if two lines in a plane are cut by a transversal so that a pai…

if two lines in a plane are cut by a transversal so that a pai…

converse of corresponding angles postul…

if two line are cut by a transversal so that corresponding ang…

parallel postulate

if given a line and a point not on the line, then there exists…

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 intersect two or more coplanar lines at two differ…

parallel lines

coplanar lines that do not intersect

skew lines

lines that do not intersect and are not coplanar

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 postulate

alternate interior angles theorem

consecutive interior angles theorem

alternate exterior angles theorem

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

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

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

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

corresponding angles postulate

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

alternate interior angles theorem

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