#### Study sets matching "geometry"

#### Study sets matching "geometry"

Right Angle

Acute Angle

Obtuse Angle

Equalateral

an angle that measures 90 degrees

an angle that measures less than 90 degrees

An angle that measures more than 90 degrees but less than 180…

3 equal sides

Right Angle

an angle that measures 90 degrees

Acute Angle

an angle that measures less than 90 degrees

Point

Line

Plane

Collinear Points

Has no dimension. Represented by a dot.

Has no dimension. It is represented by a line with two arrowh…

Has 2 dimension. Represented by a shape that looks like a wal…

Points that lie on the same line.

Point

Has no dimension. Represented by a dot.

Line

Has no dimension. It is represented by a line with two arrowh…

parallel lines

transversal

skew lines

parallel planes

coplanar lines that dont intersect

line that intersects two lines in two different points

lines that dont intersect and are non coplanar

planes that dont intersect

parallel lines

coplanar lines that dont intersect

transversal

line that intersects two lines in two different points

acute angle

right angle

obtuse angle

adjacent angles

an angle that measures less than 90 degrees

an angle that measures 90 degrees

An angle that measures more than 90 degrees but less than 180…

Two angles that share a common side and have the same vertex

acute angle

an angle that measures less than 90 degrees

right angle

an angle that measures 90 degrees

point

line

Plane

collinear points

has no dimension. represented by a dot

a line has one dimension. represented by a line with two arro…

has two dimensions. represented by a shape that looks like a…

points on the same line

point

has no dimension. represented by a dot

line

a line has one dimension. represented by a line with two arro…

point

line

line segment

ray

a location in space

straight pat of points that continues infinitely in both dire…

A part of a line with two endpoints

A part of a line that starts at one endpoint and extends fore…

point

a location in space

line

straight pat of points that continues infinitely in both dire…

Acute Angle

Adjacent Angles

Angle

Angle Bisector

Angle whose measure is less than 90 degrees.

A pair of angles with a common (shared) vertex and common side.

A figure formed by two rays with a common endpoint. The commo…

A ray that divides an angle into two congruent angles

Acute Angle

Angle whose measure is less than 90 degrees.

Adjacent Angles

A pair of angles with a common (shared) vertex and common side.

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement... p-q

The process of reasoning that a rule of statement is true bec…

A statement you believe is true based on inductive Reasoning.

ONE example showing that a conjecture is not true.

A statement that can be written in an if then form.

Inductive Reasoning

The process of reasoning that a rule of statement is true bec…

Conjecture

A statement you believe is true based on inductive Reasoning.

Parallel

Perpendicular

Vertex

Angle

Parallel lines are two lines that will not meet no matter how…

Perpendicular lines are lines that meet at a right angle.

A vertex is a point where two sides of a polygon meet.

When two line segments share the same endpoint, they form an…

Parallel

Parallel lines are two lines that will not meet no matter how…

Perpendicular

Perpendicular lines are lines that meet at a right angle.

Postulate 5

Postulate 6

Postulate 7

Postulate 8

through any two points there exists exactly one line

a line contains at least two points

If two lines intersect, then their intersection is exactly on…

Through any three noncollinear points there exists exactly on…

Postulate 5

through any two points there exists exactly one line

Postulate 6

a line contains at least two points

Point-.

line

segment

ray

It has no size i.e. no width, no length and no depth.

is straight (no curves)

each of the parts into which something is or may be divided.

A portion of a line which starts at a point and goes off in a…

Point-.

It has no size i.e. no width, no length and no depth.

line

is straight (no curves)

scalene triangle

equilateral triange

isosceles triangle

acute triangle

no congruent sides

3 equal sides with the same length, 3 angles with the same me…

A triangle that has 2 equal sides.

A triangle with 3 acute angles

scalene triangle

no congruent sides

equilateral triange

3 equal sides with the same length, 3 angles with the same me…

polygon

line segment

endpoint

vertex

A close shape made from straight lines.must have at least 3 s…

In geometry a line segment is of a line that is bounded by tw…

Endpoints mark the beginning or end of a line segment or ray.

Each angular point of a polygon,polyhedron,or other figure.

polygon

A close shape made from straight lines.must have at least 3 s…

line segment

In geometry a line segment is of a line that is bounded by tw…

Point

Line

Line segment

Ray

No dimension, represented by a dot

No dimension. A line exists between any two points and extend…

Part of a line that has two distinct end points. Contains eve…

A line with a single endpoint (or point of origin) that exten…

Point

No dimension, represented by a dot

Line

No dimension. A line exists between any two points and extend…

lines

plane

space

segment

a line is defined as a line of points that extends infinitely…

flat surface that extends indefinitely in all directions.

a boundless three dimensional set of all points.

a part of a line that consists of two points called endpoints…

lines

a line is defined as a line of points that extends infinitely…

plane

flat surface that extends indefinitely in all directions.

point

line

plane

parallel lines

An exact location in space.

A straight pathway that goes on and on in both directions. No…

A flat surface.

Lines in a plane that never intersect and are always an equal…

point

An exact location in space.

line

A straight pathway that goes on and on in both directions. No…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line.

If two distinct lines intersect, then they intersect in exact…

If two distinct planes intersect, then they intersect in exac…

Through any three noncollinear points there is exactly one pl…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

If two distinct lines intersect, then they intersect in exact…

Coordinate plane

Distance formula

Midpoint formula

Origin

Is a two dimensional region divided into four regions called…

On a coordinate plane the distance between two points or coor…

The midpoint formula is used to find the midpoint of a line s…

Origin on a coordinate plane is the point of intersection

Coordinate plane

Is a two dimensional region divided into four regions called…

Distance formula

On a coordinate plane the distance between two points or coor…

Acute angle

Equilateral triangle

Isosceles triangle

Obtuse angle

An angle measuring less than 90 degrees

A triangle with three equal sides

A triangle with two equal sides and two equal angles

An angle greater than 90 degrees and less than 180 degrees

Acute angle

An angle measuring less than 90 degrees

Equilateral triangle

A triangle with three equal sides

ray

angle

vertex

line

is part of a line that starts at an endpoint and extends infi…

is a figure formed by two rays that share the same endpoint

is the common endpoint of two rays that form an angle

is a collection of points arranged in a straight path

ray

is part of a line that starts at an endpoint and extends infi…

angle

is a figure formed by two rays that share the same endpoint

Segment addition Postulate

Midpoint definition/formula

Distance formula

Segment Bisector

If B is between A and C then AB + BC = AC

divides or bisects the segment in half

a segment, ray, line, or plane that intersects a segment at i…

Segment addition Postulate

If B is between A and C then AB + BC = AC

Midpoint definition/formula

divides or bisects the segment in half

Line

Ray

Segment

Collinear

A straight line that extends infinitely

A line with an endpoint that extends infinitely in one direct…

a line with endpoints on both ends

Three or more points on the same line

Line

A straight line that extends infinitely

Ray

A line with an endpoint that extends infinitely in one direct…

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite…

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…

point

line

line segment

ray

a location in space

straight pat of points that continues infinitely in both dire…

A part of a line with two endpoints

A part of a line that starts at one endpoint and extends fore…

point

a location in space

line

straight pat of points that continues infinitely in both dire…

point

line

collinear

noncollinear

names a location and has no size

a straight path that has no thickness and extends forever

any set of points that lie on the same line

points that do not lie on the same line

point

names a location and has no size

line

a straight path that has no thickness and extends forever

Theorems

Postulates

3 Undefined terms

Points

statement that can be proven using postulates, definitions an…

statement accepted without proof (usually very obvious

Lines, Points, Planes

- labeled with capital letters

Theorems

statement that can be proven using postulates, definitions an…

Postulates

statement accepted without proof (usually very obvious

Point

Line

Plane

Undefined Terms

No dimension. It is represented by a dot

Has one dimension. It is represented by a line with two arrow…

Has two dimensions. It is represented by a shape that looks l…

The words point, line and plane.

Point

No dimension. It is represented by a dot

Line

Has one dimension. It is represented by a line with two arrow…

circle

intersection

plane

cone

a perfectly round shape : a line that is curved so that its e…

the act or process of crossing or intersecting

to make even

a shape that has a pointed top and sides that form a circle a…

circle

a perfectly round shape : a line that is curved so that its e…

intersection

the act or process of crossing or intersecting

height

length

width

area

(noun) the vertical distance from top to bottom.

(noun) the distance along a line or curve.

(noun) the distance from one side of an object to another.

(noun) the amount of surface inside a 2-dimensional shape. Th…

height

(noun) the vertical distance from top to bottom.

length

(noun) the distance along a line or curve.

parallel lines

skew lines

Parallel planes

if segments or rays are contained with…

are coplanar lines that do not intersect

are lines that DO NOT intersect and are NOT coplanar

planes that do not intersect

then the segments or rays are parallel or skew

parallel lines

are coplanar lines that do not intersect

skew lines

are lines that DO NOT intersect and are NOT coplanar

Circle

Arc

Minor Arc

Major Arc

the set of all points on a plane at a set distance from a giv…

Two points on a circle and the continuous (unbroken) part of…

An arc whose length is less than half of the circle, named wi…

An arc of a circle whose length is more than half of the circ…

Circle

the set of all points on a plane at a set distance from a giv…

Arc

Two points on a circle and the continuous (unbroken) part of…

point

plane

collinear

coplanar

a precise location or place on a plane. Usually represented b…

a flat surface that is infinitely large with zero thickness

Points that lie on the same straight line

Objects are coplanar if they all lie in the same plane.

point

a precise location or place on a plane. Usually represented b…

plane

a flat surface that is infinitely large with zero thickness

Parallel lines

Perpendicular lines

Skew lines

Parallel planes

Two lines that lie in the same plane and do not intersect.

Two lines that intersect to form a right angle.

Two lines that do not lie in the same plane and do not inters…

Two planes that do not intersect

Parallel lines

Two lines that lie in the same plane and do not intersect.

Perpendicular lines

Two lines that intersect to form a right angle.

father of Geometry

segment addition postulate

Postulate 1:1

Point

Euclid

If A, B, C, are collinear and B is between A and C, then AB+…

through any 2 points there is exactly one line

A location in the coordinate plane. Symbol- A

father of Geometry

Euclid

segment addition postulate

If A, B, C, are collinear and B is between A and C, then AB+…

Acute angle

Right Angle

Obtuse Angle

Straight Angle

Is an angle whose measure is between 0 and 90.

Is an angle whose measure is 90.

Is an angle whose measure is between 90 and 180.

Is an angle whose measure is 180.

Acute angle

Is an angle whose measure is between 0 and 90.

Right Angle

Is an angle whose measure is 90.

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.