# 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…

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…

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

Reflexive Property

SSS

SAS

ASA

any segment or angle is congruent to itself

three sides of one triangle are congruent to the corresponding…

two sides and the included angle of one triangle are congruent…

two angles and the included side of one triangle are congruent…

Reflexive Property

any segment or angle is congruent to itself

SSS

three sides of one triangle are congruent to the corresponding…

Surface area of pyramids

Volume of Pyramid

Surface area of a cone

Volume of a cone

Find the area of the base (B) and the area of each of the tria…

V=(1/3)Bh

SA=... πr²+πrl

V=... 1/3πr²h

Surface area of pyramids

Find the area of the base (B) and the area of each of the tria…

Volume of Pyramid

V=(1/3)Bh

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

Lines at two different points

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Lines that do not intersect and are not coplanar

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…

Polygon

Two Polygons are Similar If and Only IF:

Scale Factor

SSS~

Closed figure with three or more sides

Corresponding angles are congruent and all corresponding sides…

Common ratio that each pair or corresponding sides make

If three sets of corresponding sides all make the same ratio,…

Polygon

Closed figure with three or more sides

Two Polygons are Similar If and Only IF:

Corresponding angles are congruent and all corresponding sides…

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

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

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

ED and CF

lines that will never cross

they will never cross but they are not parallel

planes that will never cross

What lines are parallel in this figure?

parallel lines

lines that will never cross

skew lines

they will never cross but they are not parallel

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…

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…

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.

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 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

triangle sum theorem

polygon angle sum theorem

exterior angle theorem

isosceles triangle theorem

the sum if the angle measures of a triangle = 180

(n-2)*180

measure of an exterior angle = sum of measures of remote inter…

two sides of triangle are congruent; then two opposite angles…

triangle sum theorem

the sum if the angle measures of a triangle = 180

polygon angle sum theorem

(n-2)*180

Angle

Line

Line Segment

Ray

The space measured between intersecting lines where they inter…

A long non-ending narrow line

A line that ends

A line that extends in both directions with one endpoint.

Angle

The space measured between intersecting lines where they inter…

Line

A long non-ending narrow line

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…

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