# Study sets matching "honors basic geometry"

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angle bisector

conditional statement

biconditional statement

if and only if

a ray that divides an angle into two congruent angles

a statement that can be written in if-then form

A statement that contains the phrase "if and only if"

A statement in the format of ...if and only if...

angle bisector

a ray that divides an angle into two congruent angles

conditional statement

a statement that can be written in if-then form

if two angles are congruent, their supp…

if two angles are complements of the sa…

The exterior angle of a triangle is the…

Isosceles triangle... -2 sides congruent t…

...

...

...

...

if two angles are congruent, their supp…

...

if two angles are complements of the sa…

...

Point

Line

Plane

Postulate: There exists exactly one line

Undefined term in Euclidean Geometry. A location in space. No…

Undefined term in Euclidean Geometry. The straight path of a p…

Undefined term in Euclidean Geometry. The straight path of a l…

through any two points.

Point

Undefined term in Euclidean Geometry. A location in space. No…

Line

Undefined term in Euclidean Geometry. The straight path of a p…

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Congruent

Point

Line

Plane

Having the same measure, or same size and shape

It is a location that has no size, no length, no width, and no…

A series of points that extend in two directions infinitely, c…

A flat surface that has no thickness.

Congruent

Having the same measure, or same size and shape

Point

It is a location that has no size, no length, no width, and no…

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

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…

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…

acute angle

adjacent angles

complementary angles

obtuse angle

an angle whose measure is less than 90 degrees

two angles that share a common side and vertex but do not shar…

two angles whose sum is 90 degrees

an angle whose measure is greater than 90 degrees (but less th…

acute angle

an angle whose measure is less than 90 degrees

adjacent angles

two angles that share a common side and vertex but do not shar…

conjecture

counterexample

postulate

theorem

an unproven statement based on observations.

an example that shows a conjecture is false.

a rule that is accepted without proof.

a rule that has been proven true.

conjecture

an unproven statement based on observations.

counterexample

an example that shows a conjecture is false.

Point

A point (can/can't) be measured

A point is named with a (capital/lower…

Line

A basic geometric figure with no length, width, or depth

Can't

Capital

A basic geometric figure formed from a collection of points wi…

Point

A basic geometric figure with no length, width, or depth

A point (can/can't) be measured

Can't

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

Point

Line

Plane

Collinear Points

Indicates a location represented by a dot

Represented by a straight path that extends in 2 opposite dire…

Represented by a flat surface that extends without end and has…

Points that all lie on the same line

Point

Indicates a location represented by a dot

Line

Represented by a straight path that extends in 2 opposite dire…

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…

Midpoint

Colinear

Acute

Obtuse

A point that divides a segment into two congruent parts

Three or more points on the same line

An angle that is less than a right angle

An angle that is more than a right angle but less than a strai…

Midpoint

A point that divides a segment into two congruent parts

Colinear

Three or more points on the same line

if a quadrilateral is a rectangle then

addition property of equality

adjacent angles

alternate interior angles theorem

...

if A=B and C=D, then A+C=B+D

coplanar angles with a common side and vertex, but no shared i…

if two parallel lines are intersected by a transversal then al…

if a quadrilateral is a rectangle then

...

addition property of equality

if A=B and C=D, then A+C=B+D

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

Point

Line

Plane

Collinear Points

indicates a location, has no size

a straight path that extends in two opposite directions withou…

flat surface that extends without end and has no thickness

Points on the same line

Point

indicates a location, has no size

Line

a straight path that extends in two opposite directions withou…

Addition Property

Subtraction Property

Division Property

Multiplication Property

If A = B, then A + C = B + C

If A = B, then A - C = B - C

If A = B, then A/C = B/C as long as C isn't 0.

If A = B, then AxC = BxC

Addition Property

If A = B, then A + C = B + C

Subtraction Property

If A = B, then A - C = B - C

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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…

Geometry

Set

Finite Set

Infinite Set

branch of mathematics that defines and relates the basic prope…

a collection of distinct objects with common characteristics

a set whose elements can be counted

a set whose elements cannot be counted

Geometry

branch of mathematics that defines and relates the basic prope…

Set

a collection of distinct objects with common characteristics

Line

Collinear points

Coplanar

Segment

A straight, unbroken set of points that goes on forever. It ha…

A set of points that lie on the same line

Points, lines, or segments that lie on the same plane

A part of a line with two endpoints.

Line

A straight, unbroken set of points that goes on forever. It ha…

Collinear points

A set of points that lie on the same line

point

line

line segment

segment addition postulate

location in space

determined by two points, extends forever in opposite directio…

determined by two points, part of a line, begins and ends at i…

line segment lengths can be determined by comparing the sum of…

point

location in space

line

determined by two points, extends forever in opposite directio…