#### Study sets matching "vocab geometry flashcards"

#### Study sets matching "vocab geometry flashcards"

Line

Collinear points

Coplanar

Segment

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

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 h…

Collinear points

A set of points that lie on the same line

Alternate Interior Angles

Consecutive Interior Angles

Alternate Exterior Angles

Corresponding Angles

Located on the interior of the lines, on opposite sides of th…

Located on the interior of the lines, on the same side of the…

Located on the exterior of the lines, on opposite sides of th…

Located on the interior and exterior of the lines, on the sam…

Alternate Interior Angles

Located on the interior of the lines, on opposite sides of th…

Consecutive Interior Angles

Located on the interior of the lines, on the same side of the…

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon…

a two-dimensional closed figure of three or more line segment…

when a triangle has an exterior angles, these angles are the…

the ratio of similarity. the ratio of any pair of correspondi…

radius (regular polygon)

a line segment that connects the center of a regular polygon…

polygon

a two-dimensional closed figure of three or more line segment…

Midpoint

Segment bisector

Straight angle

Obtuse angle

A point that divides a segment into two congruent segments

A point, line, ray, or segment that divides a segment into tw…

Measures 180 degrees

Measures more than 90 degrees and less than 180 degrees

Midpoint

A point that divides a segment into two congruent segments

Segment bisector

A point, line, ray, or segment that divides a segment into tw…

acute angle

angle

area

conjecture

an angle with measure greater than 0 degrees but less than 90…

formed by two rays at a common endpoint; in geometric figures…

on a flat surface, the number of non-overlapping square units…

an educated guess. often results from noticing a pattern duri…

acute angle

an angle with measure greater than 0 degrees but less than 90…

angle

formed by two rays at a common endpoint; in geometric figures…

Obtuse

Acute

Right Angle

Point

An angle that measures more than 90 degrees.

An angle that measures less than 90 degrees.

An angle that measures 90 degrees.

A place in space that is often marked by a letter or number.

Obtuse

An angle that measures more than 90 degrees.

Acute

An angle that measures less than 90 degrees.

Point

Plane

Line Segment

Ray

An exact location.

A flat surface that extends without end in all directions.

A portion of a line with two endpoints.

A portion of a line that extends in one direction.

Point

An exact location.

Plane

A flat surface that extends without end in all directions.

point

line

ray

line segment

a fixed location in space

a figure made up of points that extend forever in both direct…

a figure that has one endpoint and extends forever in the oth…

a piece of a line marked by two endpoints

point

a fixed location in space

line

a figure made up of points that extend forever in both direct…

Line

Collinear points

Coplanar

Segment

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

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 h…

Collinear points

A set of points that lie on the same line

angle-angle similarity

angle

congruent

corresponding sides

if two angles of one triangle are congruent to two correspond…

in geometric figures, usually formed by two segments with a c…

exactly the same shape and size

sides in two or more figures that are images of each other wi…

angle-angle similarity

if two angles of one triangle are congruent to two correspond…

angle

in geometric figures, usually formed by two segments with a c…

parallel lines

perpendicular lines

intersecting lines

vertex

a pair of lines that are the same distance apart and will nev…

a "special" pair of intersecting lines that cross at a 90 deg…

a pair of lines that cross or will eventually cross

point where two rays meet to create an angle

parallel lines

a pair of lines that are the same distance apart and will nev…

perpendicular lines

a "special" pair of intersecting lines that cross at a 90 deg…

similarity

dilation

point of dilation / stretch point

scale factor / zoom factor

-same shape, but not necessarily the same size... -angles are co…

-a transformation where a point on a figure is stretched prop…

-the point of a figure that is stretched to form a dilation o…

-the number a side is multiplied by to make a bigger or small…

similarity

-same shape, but not necessarily the same size... -angles are co…

dilation

-a transformation where a point on a figure is stretched prop…

arc length

arc measure

center

central angle

the length of an arc

the measure in degrees of an arc's central angle

a fixed point from which all points on the circle are equidis…

an angle with its vertex at the center of a circle or polygon

arc length

the length of an arc

arc measure

the measure in degrees of an arc's central angle

Parallel Lines

Skew Lines

Corresponding Angles

Alternate Interior Angles

Lines that do not intersect and that lie in the same plane.

Lines that do not intersect and that do not line in the same…

Parallel Lines

Lines that do not intersect and that lie in the same plane.

Skew Lines

Lines that do not intersect and that do not line in the same…

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon…

a two-dimensional closed figure of three or more line segment…

when a triangle has an exterior angles, these angles are the…

the ratio of similarity. the ratio of any pair of correspondi…

radius (regular polygon)

a line segment that connects the center of a regular polygon…

polygon

a two-dimensional closed figure of three or more line segment…

alpha

angle

arithmetic sequence

clinometer

a Greek letter often used to represent angle measure. Others…

formed by two rays joined at a common endpoint

an ordered sequence of mathematical terms in which a constant…

a device used to measure angles of elevation and depression

alpha

a Greek letter often used to represent angle measure. Others…

angle

formed by two rays joined at a common endpoint

legs

slope angle

law of sines

inverse tangent

the two sides of a right triangle that form the right angle.…

the acute angle a line forms with the x-axis on a coordinate…

used to find measurements in non-right triangles using the si…

the "undo" of the tangent function

legs

the two sides of a right triangle that form the right angle.…

slope angle

the acute angle a line forms with the x-axis on a coordinate…

Regular Polygon

Parallelogram

Rectangle

Rhombus

a polygon with all sides and all angles equal

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

A parallelogram with four equal sides

Regular Polygon

a polygon with all sides and all angles equal

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

Equidistant

Concurrent

Point of Concurrency

Circumcenter

The same distance

three or more lines intersect at the same point

The point at which three or more lines intersect

The point where the perpendicular bisectors of the sides of a…

Equidistant

The same distance

Concurrent

three or more lines intersect at the same point

Midsegment

Coordinate Proof

Perpendicular Bisector

Equidistant

A segment that connects the midpoints of two sides of a trian…

A proof involving placing geometric figures in a coordinate p…

A line that is perpendicular to a segment at its midpoint.

Equal distance

Midsegment

A segment that connects the midpoints of two sides of a trian…

Coordinate Proof

A proof involving placing geometric figures in a coordinate p…

bases

bisect

circle

concentric circles

the congruent parallel polygons that form the "top" and "bott…

to divide into two congruent parts

the set of all points on a flat surface that are the same dis…

circles that have the same center

bases

the congruent parallel polygons that form the "top" and "bott…

bisect

to divide into two congruent parts

Point

Line

Plane

Colinear

A location that has no size.

Straight path in two opposite directions without end. No thic…

A flat surface that extends without end. No thickness and inf…

Points on the same line.

Point

A location that has no size.

Line

Straight path in two opposite directions without end. No thic…

conjecture

Conditional

Converse

Inverse

an educated guess based on presented facts. Remember not all…

begins wit an "If" statement called a hypothesis and ends wit…

You exchange the the hypothesis and the conclusion. Example:…

You negate or make both the hypothesis and conclusion invalid…

conjecture

an educated guess based on presented facts. Remember not all…

Conditional

begins wit an "If" statement called a hypothesis and ends wit…

undefined terms

point

line

plane

A word, ususally readily understood, that is not formually ex…

Points have no size. In a figure a point is represent by a do…

Lines extend indefinitely and have no tickness or width. In a…

Planes can be thought of as flat surfaces that extend indefin…

undefined terms

A word, ususally readily understood, that is not formually ex…

point

Points have no size. In a figure a point is represent by a do…

Lines

Planes

Ray

Coplanar

a series of points that extends in two opposite directions wi…

a flat surface with no thickness

is the part of a line consisting of one endpoint and all the…

points and lines in the same planes

Lines

a series of points that extends in two opposite directions wi…

Planes

a flat surface with no thickness

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture…

the process of using logic to draw conclusions from given fac…

the process of reasoning that a rule or statement is true bec…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture…

alternate interior angles

conjecture

line

proof by contradiction

inside the parallel lines, opposite sides of the transversal

An educated guess

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

a form of proof that establishes the truth or validity of a p…

alternate interior angles

inside the parallel lines, opposite sides of the transversal

conjecture

An educated guess

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

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

Conjecture

A statement that is believed to be true

Midpoint

Colinear

Straight Angle

Acute Angle

It is a midpoint iff it divides a segment into two congruent…

3 or more points on the same line

Sides of a straight angle form a line

Less then a right angle

Midpoint

It is a midpoint iff it divides a segment into two congruent…

Colinear

3 or more points on the same line

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

Ray

Angle bisector

Sides

Congruent

has a defined starting point & extends infinitely in one dire…

cuts an angle into 2 equal parts.

the edges of angles & polygons.

has exactly the same measurement, equal to each other.

Ray

has a defined starting point & extends infinitely in one dire…

Angle bisector

cuts an angle into 2 equal parts.

acute angle

adjacent angles

angle

angle bisector

An angle that measures greater than 0 and less than 90 degrees.

Two angles in the same plane with a common vertex and a commo…

A figure formed by two rays with a common endpoint.

A ray that divides an angle into two congruent angles.

acute angle

An angle that measures greater than 0 and less than 90 degrees.

adjacent angles

Two angles in the same plane with a common vertex and a commo…

Alternate exterior angles

Corresponding angles

interior

exterior

Angles that lay outside the parallel lines and are on opposit…

Angles in the same place on different lines

inside

outside

Alternate exterior angles

Angles that lay outside the parallel lines and are on opposit…

Corresponding angles

Angles in the same place on different lines

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

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

Conjecture

A statement that is believed to be true

between

congruent segments

construction

undefined term

in the middle, but not necessarily half way

Segments that have the same length (same size and shape)

to use tools to draw an object that is more precise

a word without a formal definition: point, line, and plane

between

in the middle, but not necessarily half way

congruent segments

Segments that have the same length (same size and shape)

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

Ray

Line

Line Segment

A place in space that is often marked by a letter or number.

A line that has a beginning point and extends indefinitely in…

Extends indefinitely in both directions.

Part of a line with a two points marking a beginning and end.

Point

A place in space that is often marked by a letter or number.

Ray

A line that has a beginning point and extends indefinitely in…

complementary angles

supplementary angles

congruent

linear pair

Two angles whose sum is 90 degrees

Two angles whose sum is 180 degrees

Having the same size and shape

Two adjacent angles formed by the intersection of two lines.…

complementary angles

Two angles whose sum is 90 degrees

supplementary angles

Two angles whose sum is 180 degrees

Conjecture

Inductive Reasoning

Counterexample

Converse

Something believed to be true based on observations

Process of using patterns to make conjectures

A specific case for which a conjecture is false

Switching the hypothesis and conclusion of a conditional stat…

Conjecture

Something believed to be true based on observations

Inductive Reasoning

Process of using patterns to make conjectures