# Study sets matching "honors basic geometry"

Study sets

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Classes

Users

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

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

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

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…

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

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

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…

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…

Point

Line

Line Segment

Ray

A location in space represented with a single point. It is dim…

Made up of points that are a straight path that goes on infini…

Part of a line including 2 points and all the collinear points…

Part of a line that begins with a single point and extends inf…

Point

A location in space represented with a single point. It is dim…

Line

Made up of points that are a straight path that goes on infini…

Incenter

Orthocenter

Midpoint Formula

Centroid/Medians

The point of concurrency of the three angle bisectors

The perpendicular segment from vertex of a triangle to the opp…

A segment from vertex to midpoint. (steps: midpoint, slope, eq…

Incenter

The point of concurrency of the three angle bisectors

Orthocenter

The perpendicular segment from vertex of a triangle to the opp…

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…

complementary angles

supplementary angles

theorem

vertical angles

two angles whose measures have a sum of 90 degrees

two angles whose measures have a sum of 180 degrees

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

complementary angles

two angles whose measures have a sum of 90 degrees

supplementary angles

two angles whose measures have a sum of 180 degrees

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

Perpendicular Lines

Linear Pair Theorem

Linear Pair Postulate

Angle Bisector

Lines that intersect to form right angles

If two angles form a linear pair then they are supplementary

If two angles form a linear pair then the sum of their measure…

A ray that divides an angle into two congruent angles

Perpendicular Lines

Lines that intersect to form right angles

Linear Pair Theorem

If two angles form a linear pair then they are supplementary

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…

Kite

Trapezoid

Isosceles trapezoid

Rhombus

A 4-sided flat shape with straight sides that has two pairs of…

A trapezoid is a 4-sided flat shape with straight sides that h…

the sides that aren't parallel are equal in length and both an…

a four-sided shape where all sides have equal length; opposite…

Kite

A 4-sided flat shape with straight sides that has two pairs of…

Trapezoid

A trapezoid is a 4-sided flat shape with straight sides that h…

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…

similar figures

similar

dilation

indirect measurement

identical in shape but not necessarily sides

identical in shape but not necessarily sides if and only if al…

nonrigid transformation that enlarges or reduces a geometric f…

finding a distance or length by using properties of similar tr…

similar figures

identical in shape but not necessarily sides

similar

identical in shape but not necessarily sides if and only if al…

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

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

Straightedge

Compass

Construction

Perpendicular

A ruler with no markings on it

A geometric tool used to draw circles and parts of circles cal…

A geometric figure drawn using a straightedge and a compass

2 lines that intersect to form right angles (symbol: upside do…

Straightedge

A ruler with no markings on it

Compass

A geometric tool used to draw circles and parts of circles cal…