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Segment Addition Postulate

Linear Pair Property

right angle

acute angle

If point B is between points A and C on a line, then AB+BC=AC.

If two angles form a linear pair, then they are supplementary.

An angle whose measure is 90 degrees

An angle whose measure is less than 90 degrees

Segment Addition Postulate

If point B is between points A and C on a line, then AB+BC=AC.

Linear Pair Property

If two angles form a linear pair, then they are supplementary.

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Polygon Angle Sum Theorem

Regular Polygon

Concave

Convex

The sum of the interior angle measures of a convex polygon wi…

A polygon which is equilateral and equiangular.

A polygon is concave if any part of a diagonal contains point…

If no diagonal contains points in the exterior, then the poly…

Polygon Angle Sum Theorem

The sum of the interior angle measures of a convex polygon wi…

Regular Polygon

A polygon which is equilateral and equiangular.

acute angle

adjacent angle

angle bisector

circumference

an angle less than 90 degrees but more than 0 degrees

2 angles in the same plane with a common vertex and a common…

a ray that divides an angle into two congruent angles

the distance around the circle : pi(d) or pi(r)(2)

acute angle

an angle less than 90 degrees but more than 0 degrees

adjacent angle

2 angles in the same plane with a common vertex and a common…

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Point

Plane

Coplanar

Collinear

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

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

Points that lie in the same plane.

Points that lie in the same line.

Point

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

Plane

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

Perimeter

Circumference

apotherm

polygon

The distance around a figure

The distance around a circle

The perpendicular distance from the center of a regular polyg…

A closed plane figure made up of line segments

Perimeter

The distance around a figure

Circumference

The distance around a circle

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a poin…

a straight path that has no thickness and extends forever.... (p…

a flat surface that has no thickness and extends forever.... (p.…

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a poin…

A→B and B→C... therefore A→C

Given: If X, then Y, and if Y, then Z.…

Angles in a plane that have their vert…

If a=b, then a+c=b+c.

If-then transitive property

If-then transitive property

adjacent angles

addition property of equality

A→B and B→C... therefore A→C

If-then transitive property

Given: If X, then Y, and if Y, then Z.…

If-then transitive property

acute triangle

auxiliary line

base

base angle

a triangle whose interior angles are all acute

a line that is added to a figure in a proof

the side opposite the vertex angle

an angle that has the base as a side with another angle

acute triangle

a triangle whose interior angles are all acute

auxiliary line

a line that is added to a figure in a proof

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

acute angle

adjacent angles

angle bisector

circumference

angle that measures greater than 0º and less than 90º

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

a ray that divides an angle into two congruent angles

the distance around the circle

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a poin…

a straight path that has no thickness and extends forever.... (p…

a flat surface that has no thickness and extends forever.... (p.…

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a poin…

sine

cosine

tangent

angle of elevation

the ratio of the length of the leg opposite the angle to the…

the ratio of the length of the leg adjacent to the angle to t…

the ratio of the length of the leg opposite the angle to the…

the angle formed by a horizontal line and a line of sight abo…

sine

the ratio of the length of the leg opposite the angle to the…

cosine

the ratio of the length of the leg adjacent to the angle to t…

collinear

coplaner

undefined term

opposite rays

points that lie on the same line

Points that lie on the same plane

A basic figure that is not defined in terms of other figures.…

2 rays that have the same endpoint and go in opposite directi…

collinear

points that lie on the same line

coplaner

Points that lie on the same plane

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

Side-Side-Side Congruence Postulate (S…

Angle-Side-Angle Congruence Theorem (A…

Side-Angle-Side Congruence Postulate (…

Side-Side-Angle Conjecture (SSA)

If the sides of one triangle are congruent to the sides of an…

If two angles and the included side in one triangle are congr…

If two sides and their included angle in one triangle are con…

In an SSA combination, if the given side opposite the given a…

Side-Side-Side Congruence Postulate (S…

If the sides of one triangle are congruent to the sides of an…

Angle-Side-Angle Congruence Theorem (A…

If two angles and the included side in one triangle are congr…

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a poin…

a straight path that has no thickness and extends forever.... (p…

a flat surface that has no thickness and extends forever.... (p.…

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a poin…

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a poin…

a straight path that has no thickness and extends forever.... (p…

a flat surface that has no thickness and extends forever.... (p.…

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a poin…

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a poin…

a straight path that has no thickness and extends forever.... (p…

a flat surface that has no thickness and extends forever.... (p.…

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a poin…

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Acute Angle

Adjacent Angles

Angle

Angle Bisector

An angle that measures greater than 0 degrees and less than 9…

2 angles in the same plane with a common vertex and a common…

A figure formed by 2 rays with a common endpoint

A ray that divides an angle into 2 congruent angles

Acute Angle

An angle that measures greater than 0 degrees and less than 9…

Adjacent Angles

2 angles in the same plane with a common vertex and a common…

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a point.

a straight path that has no thickness and extends forever.

a flat surface that has no thickness and extends forever.

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a point.

angle

angle bisector

collinear

congruent

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

points that lie on the same line

have the same measure

angle

a figure formed by two rays, or sides, with a common endpoint

angle bisector

a ray that divides an angle into two congruent angles

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Undefined term

point

line

plane

A term that cannot be defined by using the other figures, a b…

Names a location and has no size; it is represented by a poin…

a straight path that has no thickness and extends forever.... (p…

a flat surface that has no thickness and extends forever.... (p.…

Undefined term

A term that cannot be defined by using the other figures, a b…

point

Names a location and has no size; it is represented by a poin…

angle

angle bisector

collinear

congruent

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

points that lie on the same line

have the same measure

angle

a figure formed by two rays, or sides, with a common endpoint

angle bisector

a ray that divides an angle into two congruent angles

collinear

coplaner

undefined term

opposite rays

points that lie on the same line

Points that lie on the same plane

A basic figure that is not defined in terms of other figures.…

2 rays that have the same endpoint and go in opposite directi…

collinear

points that lie on the same line

coplaner

Points that lie on the same plane

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

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

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

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

Angle

Area

Coordinate Plane

Line

A figure formed by two rays, or sides, with a common endpoint.

The number of nonoverlapping square units inside a figure.

A plane that is divided into four regions by a horizontal lin…

A straight path that has no thickness and extends forever.

Angle

A figure formed by two rays, or sides, with a common endpoint.

Area

The number of nonoverlapping square units inside a figure.

Coordinate

Distance (aka: length between two poin…

Congruent segments

Midpoint of a segment

the number that corresponds to a point's location

(absolute value: does not matter which direction I start to m…

Segments that have the same length. (do NOT have to be parall…

The point that divides the segment into 2 congruent segments.

Coordinate

the number that corresponds to a point's location

Distance (aka: length between two poin…

(absolute value: does not matter which direction I start to m…

coordinate

distance ( aka: length)

geometric construction

points on a line

the number corresponding to a point's location

(absolute value: does not matter which direction I start to m…

Way to create a figure that is more precise (by using compass…

given three points, A, B, and C, B, is between A and C if and…

coordinate

the number corresponding to a point's location

distance ( aka: length)

(absolute value: does not matter which direction I start to m…

acute triangle

auxiliary line

base

base angle

a triangle whose interior angles are all acute

a line that is added to a figure in a proof

the side opposite the vertex angle

an angle that has the base as a side with another angle

acute triangle

a triangle whose interior angles are all acute

auxiliary line

a line that is added to a figure in a proof

undefined term

point

line

plane

terms which cannot be defined by using other figures

a term which names a location and has no size; it is represen…

a straight path that has no thickness and extends forever

a flat surface that has no thickness and extends forever

undefined term

terms which cannot be defined by using other figures

point

a term which names a location and has no size; it is represen…

angle

vertex

interior of an angle

exterior of an angle

a figure formed by two rays, or sides with a common endpoint

a common endpoint of two rays

the set of all points between the sides of the angle

the set of all points outside the angle

angle

a figure formed by two rays, or sides with a common endpoint

vertex

a common endpoint of two rays

Undefined Terms

Point

Line

Plane

Words that do not have formal definitions but there is agreem…

Has 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…

Undefined Terms

Words that do not have formal definitions but there is agreem…

Point

Has no dimension. It is represented by a dot.

Side-Side-Side Congruence Postulate (S…

Angle-Side-Angle Congruence Theorem (A…

Side-Angle-Side Congruence Postulate (…

Side-Side-Angle Conjecture (SSA)

If the sides of one triangle are congruent to the sides of an…

If two angles and the included side in one triangle are congr…

If two sides and their included angle in one triangle are con…

In an SSA combination, if the given side opposite the given a…

Side-Side-Side Congruence Postulate (S…

If the sides of one triangle are congruent to the sides of an…

Angle-Side-Angle Congruence Theorem (A…

If two angles and the included side in one triangle are congr…

Surface Area of a Right Rectangular Pr…

Volume of a Rectangular Prism

Surface Area of a Cube

Volume of a Cube

S = 2lw + 2wh + 2lh... (l=length, w=width, h=height)

V = lwh... (length x width x height)

S = 6a²

V = a³

Surface Area of a Right Rectangular Pr…

S = 2lw + 2wh + 2lh... (l=length, w=width, h=height)

Volume of a Rectangular Prism

V = lwh... (length x width x height)

undefined lines

point

line

plane

points, lines, planes

written in capitol letters (undefined term)

2 capitol letters or a lowercase script, connects two points,…

3 point or uppercase script letter, flat surface with no thic…

undefined lines

points, lines, planes

point

written in capitol letters (undefined term)