#### Study sets matching "honors basic geometry"

#### Study sets matching "honors basic geometry"

Point

Line

Plane

Collinear Points

Indicates a location represented by a dot

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

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

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 dir…

Geometry

Set

Finite Set

Infinite Set

branch of mathematics that defines and relates the basic prop…

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 prop…

Set

a collection of distinct objects with common characteristics

Point

Midpoint

Line

Plane

It is a location that is undefined.

Point that divides a segment into two congruent.

A series of points that extend in two directions infinitely t…

A flat surface that has no thickness.

Point

It is a location that is undefined.

Midpoint

Point that divides a segment into two congruent.

point

line

line segment

segment addition postulate

location in space

determined by two points, extends forever in opposite directi…

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

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

point

location in space

line

determined by two points, extends forever in opposite directi…

Ray

Line segment

Line

3d

A part of a line, with one endpoint, that continues without e…

A part of a line with two endpoints

A straight path that goes without end in two directions.

having height, width, and depth

Ray

A part of a line, with one endpoint, that continues without e…

Line segment

A part of a line with two endpoints

Point

Line

Plane

Line Segment

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

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

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

A portion of a line that has definite length, and two endpoin…

Point

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

Line

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

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

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 op…

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

Incenter

The point of concurrency of the three angle bisectors

Orthocenter

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

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 opp…

complementary angles

two angles whose measures have a sum of 90 degrees

supplementary angles

two angles whose measures have a sum of 180 degrees

What is a ray?

What is a segment?

What is a plane? How are they labeled?

What is a line?

A ray has an endpoint but extends forever in the other direct…

Has a starting and ending point and is a part of a line.

Has length and width but no thickness.... They intersect at a li…

Has length... No width or thickness... Extends forever in both dire…

What is a ray?

A ray has an endpoint but extends forever in the other direct…

What is a segment?

Has a starting and ending point and is a part of a line.

conjecture

counterexample

Collinear Points

Coplanar Points

an unproven statement based on observations.

an example that shows a conjecture is false.

Points that lie in the same line.

Points that lie in the same plane.

conjecture

an unproven statement based on observations.

counterexample

an example that shows a conjecture is false.

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a th…

COPLANAR lines that do not intersect

NON coplanar lines that to not intersect (think left/right an…

Planes that do not intersect (Think floor and ceiling)

If planes X and Y are parallel, then their lines of intersect…

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

NON coplanar lines that to not intersect (think left/right an…

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 measur…

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

Kite

Trapezoid

Isosceles trapezoid

Rhombus

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

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

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

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

Kite

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

Trapezoid

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

Point

Line

Plane

Collinear

A point has no size.

Goes on forever in both directions.... Two points create a line.

A flat surface that has no thickness.... Three points create a p…

Points that lie on the same line.... Points E, F, & C are collin…

Point

A point has no size.

Line

Goes on forever in both directions.... Two points create a line.

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 absol…

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<…

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 absol…

Point

Line

Plane

Collinear

Undefined. No size, thickness, represents location, all other…

Undefined term. No thickness, goes on forever in opposite dir…

Undefined term. No thickness. Flat surface that extends infin…

points all in one line

Point

Undefined. No size, thickness, represents location, all other…

Line

Undefined term. No thickness, goes on forever in opposite dir…

Point

Line

Plane

Collinear Points

indicates a location, has no size

a straight path that extends in two opposite directions witho…

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 witho…

Point

Line

Line Segment

Rays

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

Made up of points that are straight and extend into infinity.

Made up of point that are straight, however, has and end and…

A set of points that are straight and can extend to infinity…

Point

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

Line

Made up of points that are straight and extend into infinity.

segment

ray

angle

sides of an angle

a part of a line bound by two distinct end points

a line with a starting point, but no end point

the space between two intersecting, usually measured in degre…

two rays intersecting at their endpoints

segment

a part of a line bound by two distinct end points

ray

a line with a starting point, but no end point