# 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 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…

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 th…

A flat surface that has no thickness.

Point

It is a location that is undefined.

Midpoint

Point that divides a segment into two congruent.

Ray

Line segment

Line

3d

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

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 en…

Line segment

A part of a line with two endpoints

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

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 directi…

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

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

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

What is a ray?

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

What is a segment?

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

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 p…

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

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

Point

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

Line

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

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 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…

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

Conditional IF THEN

Conditional IMPLIES

Conditional ONLY IF

Conditional IF

IF p THEN q

p IMPLIES q

p ONLY IF q

q IF p... *NOTE SWITCH p and q when IF is the ONLY key word

Conditional IF THEN

IF p THEN q

Conditional IMPLIES

p IMPLIES q

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 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…

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…

Point

Line

Line Segment

Rays

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…

Made up of pointx that are straight path that has a beginning…

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

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…

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…

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 degree…

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

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…

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…

point

line

line segment

ray

a location or position in space

an infinite set of points with no endpoints

two endpoints with all the points in between

part of a line, consisting of one endpoint and all the points…

point

a location or position in space

line

an infinite set of points with no endpoints