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Point

Line

Segment

Plane

mathematical object with no size, which can be specified in -…

A straight path that extends without end in opposite directio…

A part of a line between two endpoints.

A flat surface on which a straight line joining any two point…

Point

mathematical object with no size, which can be specified in -…

Line

A straight path that extends without end in opposite directio…

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.

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…

Quadrilateral

Trapezoid

Parallelogram

Rectangle

You are a flat shape with four straight sides. I am the most…

you are a four sided figure with one pair of parallel sides.

You are a 4-sided flat shape with straight sides where opposi…

You are a 4-sided flat shape with straight sides where all in…

Quadrilateral

You are a flat shape with four straight sides. I am the most…

Trapezoid

you are a four sided figure with one pair of parallel sides.

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.

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "m…

identifies a geometry which Euclid formalized and which was a…

terms in Euclidean geometry which mathematicians consider onl…

one of the undefined terms; it has only position and has no l…

Geometry

word composed of two Greek terms, "geos" meaning earth and "m…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was a…

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…

Line AB

collinear points

plane

coplanar

2 or more points joined with no thickness or width that exten…

points that lie on the same plane

flat 2 dimensional surface that extends indefinitely in all d…

objects that lie on the same plane

Line AB

2 or more points joined with no thickness or width that exten…

collinear points

points that lie on the same plane

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…

conclusion

converse

contrapositive

syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (~q -> ~p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

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…

Point

Line

Plane

Collinear

A point names a location and has no size. It is represented b…

A line is a straight path that has no thickness and extends f…

A plane is a flat surface that has no thickness and extends f…

Points that lie on the same line.

Point

A point names a location and has no size. It is represented b…

Line

A line is a straight path that has no thickness and extends f…

they are congruent.... Right Angles Cong…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Complem…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Cong…

If two angles are right angles, then

they are congruent.... Congruent Supplem…

If two angles are supplementary to the same angle, then

Point

Line

Line Segment

Plane

Indicates a position or location in space

A collection of points going endlessly in both directions

Part of a line with TWO endpoints

A flat surface going endlessly in all directions

Point

Indicates a position or location in space

Line

A collection of points going endlessly in both directions

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

segment

ray

plane

line

Part of a line consisting of two points and all the points be…

The part of a line that starts at an end point and extends fo…

Flat surface that has no thickness and extends forever.

Straight path that has no thickness and extends forever.

segment

Part of a line consisting of two points and all the points be…

ray

The part of a line that starts at an end point and extends fo…

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)

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

Acute Angle

Adjacent Angles

Angle

Angle Addition Postulate

Angle that measures between 0 and 90 degrees.

Angles which share a side and a vertex.

Is formed by two rays connected with an endpoint.

If S is in the interior of <PQR, then the m<PQS + m<SQR = m<P…

Acute Angle

Angle that measures between 0 and 90 degrees.

Adjacent Angles

Angles which share a side and a vertex.

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.

corresponding angles

supplementary angles

adjacent angles

complimentary angles

Angles formed by a transversal cutting through 2 or more line…

Two or more angles whose sum is 180 degrees

Angles that have a common side and a common vertex (corner po…

Two angles whose sum is 90 degrees

corresponding angles

Angles formed by a transversal cutting through 2 or more line…

supplementary angles

Two or more angles whose sum is 180 degrees

adjacent angle

acute angle

angle bisector

angle

Two angles that share a common vertex and side, but have no c…

An angle that has a measure greater than 0⁰ and less than 90⁰

A ray that divides an angle into two angles that are congruent

A set of points consisting of two different rays that... have th…

adjacent angle

Two angles that share a common vertex and side, but have no c…

acute angle

An angle that has a measure greater than 0⁰ and less than 90⁰

Point

Line

Plane

Line Segment

A location in space that has no length, width, or depth.

Made up of an infinite number of points. Has infinite length,…

A flat surface that has infinite length and width, but no dep…

A part of a line between two points.

Point

A location in space that has no length, width, or depth.

Line

Made up of an infinite number of points. Has infinite length,…

undefined terms

point

line

plane

in geometry point, line, and plane are considered undefined t…

is a location, it has neither shape nor size. Named by a capi…

made up of points and has no thickness or width. There is exa…

a flat surface made up of points that extends infinitely in a…

undefined terms

in geometry point, line, and plane are considered undefined t…

point

is a location, it has neither shape nor size. Named by a capi…

chord

diameter

radius

secant

A segment whose endpoints lie on a circle

A chord that passes through the center of the circle

A straight line from the center to the circumference of a cir…

A line that intersects a circle in two points

chord

A segment whose endpoints lie on a circle

diameter

A chord that passes through the center of the circle

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

congruent figures

corresponding parts

Side-Side-Side Congruence Postulate (S…

Side-Angle-Side Congruence Postulate (…

figures that have equal sides and equal angle measures

Figures or sides or angles that have the same relative position

If three sides of one triangle are congruent to three sides o…

If two sides and the included angle of one triangle are congr…

congruent figures

figures that have equal sides and equal angle measures

corresponding parts

Figures or sides or angles that have the same relative position

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…

midsegment of a triangle

coordinate proof

perpendicular bisector

equidistant

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

a proof that uses figures in the coordinate plane and algebra…

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

the same distance apart at every point

midsegment of a triangle

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

coordinate proof

a proof that uses figures in the coordinate plane and algebra…

conditional statement

hypothesis

conclusion

converse

A logical statement that has two parts, a hypothesis and a co…

the "if" part of a conditional statement

the "then" part of a conditional statement

the statement formed by switching the hypothesis and conclusi…

conditional statement

A logical statement that has two parts, a hypothesis and a co…

hypothesis

the "if" part of a conditional statement

parallel lines

skew lines

parallel planes

transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Two planes that do not intersect.

A line that intersects two coplanar lines at two distinct poi…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

Nets for Three-Dimensional Figures

Arc Length

Area of a Circle

Area of a Sector

A two-dimensional pattern that can be folded to form the thre…

The ratio of the length of a given arc to the circumference i…

A = πr²

The ratio of the area of a sector of a circle to the area of…

Nets for Three-Dimensional Figures

A two-dimensional pattern that can be folded to form the thre…

Arc Length

The ratio of the length of a given arc to the circumference i…

adjacent angle

acute angle

angle bisector

angle

Two angles that share a common vertex and side, but have no c…

An angle that has a measure greater than 0⁰ and less than 90⁰

A ray that divides an angle into two angles that are congruent

A set of points consisting of two different rays that... have th…

adjacent angle

Two angles that share a common vertex and side, but have no c…

acute angle

An angle that has a measure greater than 0⁰ and less than 90⁰

adjacent angle

acute angle

angle bisector

angle

Two angles that share a common vertex and side, but have no c…

An angle that has a measure greater than 0⁰ and less than 90⁰

A ray that divides an angle into two angles that are congruent

A set of points consisting of two different rays that... have th…

adjacent angle

Two angles that share a common vertex and side, but have no c…

acute angle

An angle that has a measure greater than 0⁰ and less than 90⁰

Converse

Corresponding Angle Converse Postulate

Alternate Exterior Angle Converse Theo…

Alternate Interior Angle Converse Theo…

To state the converse of a conditional statement, interchange…

"If two lines intersected by a transversal form congruent cor…

"If two lines intersected by a transversal form congruent alt…

"If two lines intersected by a transversal form congruent alt…

Converse

To state the converse of a conditional statement, interchange…

Corresponding Angle Converse Postulate

"If two lines intersected by a transversal form congruent cor…