# Study sets matching "geo geometry"

polyhedron

face

edge

vertex

a solid figure bounded by plane polygons or faces

A flat surface of the polyhedron

a line segment formed by the intersection of two faces

A point where three or more edges meet

polyhedron

a solid figure bounded by plane polygons or faces

face

A flat surface of the polyhedron

Polygons

Regular Polygons

Diagonals

Vertex

A plane figure with at least three straight sides.

A regular polygon has all sides congruent and all angles congr…

Segments that connects any 2 nonconsecutive vertices of a poly…

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

Polygons

A plane figure with at least three straight sides.

Regular Polygons

A regular polygon has all sides congruent and all angles congr…

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

Quadrilateral

A triangle with all sides of equal length

A triangle with two sides of equal length

A triangle with no sides of equal length

A polygon with four sides

Equilateral Triangle

A triangle with all sides of equal length

Isosceles Triangle

A triangle with two sides of equal length

Radius

Diameter

Chord

Secant

Distance from the center of a circle to a point on the circle.

A chord the goes through the center of a circle. (segment from…

Segment from one side of the circle to the other. Doesn't need…

A line going through a circle.

Radius

Distance from the center of a circle to a point on the circle.

Diameter

A chord the goes through the center of a circle. (segment from…

point

line

line segment

ray

in geometry a position in space

straight path of points with no endpoints

part of a line with 2 endpoints

part of a line with 1 endpoint

point

in geometry a position in space

line

straight path of points with no endpoints

simplify square roots

radical symbol

radicand

45-45-90 triangles

Find two numbers that multiply together to equal the number un…

the symbol used to represent the non-negative square root of a…

The number or expression inside a radical symbol

legs = n and hypotenuse = n√2

simplify square roots

Find two numbers that multiply together to equal the number un…

radical symbol

the symbol used to represent the non-negative square root of a…

undefined term

point

line

plane

a point, line, or plane because they can only be explained usi…

Location in space, it has no size

A collection of an infinite number of points in a straight pat…

a flat surface that extends forever

undefined term

a point, line, or plane because they can only be explained usi…

point

Location in space, it has no size

If all three of the angles of a triangl…

If all three angles of an acute triangl…

If one of the angles of a triangle is a…

If one of the angles of a triangle is a…

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

If all three of the angles of a triangl…

Acute Triangle

If all three angles of an acute triangl…

Equiangular Triangle

Triangle Sum Theorem

Triangle Sum Theorem Corollary 1

Triangle Sum Theorem Corollary 2

Exterior Angle Theorem

The sum of the angle measures of a triangle is 180 degrees.

The acute angles of a right triangle are complementary.

The angles of an equiangular triangle is 60 degrees.

The measure of an exterior angle of a triangle is equal to add…

Triangle Sum Theorem

The sum of the angle measures of a triangle is 180 degrees.

Triangle Sum Theorem Corollary 1

The acute angles of a right triangle are complementary.

vertical angles

complementary angles

supplementary angles

transversal

The nonadjacent angles formed by two intersecting lines.

Two angles whose measures have a sum of 90°.

Two angles whose measures have a sum of 180°.

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

vertical angles

The nonadjacent angles formed by two intersecting lines.

complementary angles

Two angles whose measures have a sum of 90°.

Converse

Corresponding Angle Converse Postulate

Alternate Exterior Angle Converse Theor…

Alternate Interior Angle Converse Theor…

To state the converse of a conditional statement, interchange…

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

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

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

Converse

To state the converse of a conditional statement, interchange…

Corresponding Angle Converse Postulate

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

Converse

Corresponding Angle Converse Postulate

Alternate Exterior Angle Converse Theor…

Alternate Interior Angle Converse Theor…

To state the converse of a conditional statement, interchange…

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

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

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

Converse

To state the converse of a conditional statement, interchange…

Corresponding Angle Converse Postulate

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

Point

Ray

Line

Plane

Used to describe a location. Name with a capital letter.

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

A straight path that goes without end in two directions.

A flat surface that extends forever. Name a point with 3 nonco…

Point

Used to describe a location. Name with a capital letter.

Ray

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

Definition Chapter 1... Conjecture

Definition Chapter 1... Inductive Reasoning

Definition Chapter 1... Counterexample

Definition Chapter 1... Point

An unproven statement based on observation

Look for patterns and ,making conjectures

A single example that shows a conjecture is false

Represented by a small dot, but has NO dimension

Definition Chapter 1... Conjecture

An unproven statement based on observation

Definition Chapter 1... Inductive Reasoning

Look for patterns and ,making conjectures

Geometric mean

Pythagorean triple

Trigonometry

Trigonometric ratio

The positive square root of the product of 2 numbers

A set of three nonzero whole numbers a,b, and c such that sum…

Invovles triangle measure

the ratio of the length of two sides of a right triangle

Geometric mean

The positive square root of the product of 2 numbers

Pythagorean triple

A set of three nonzero whole numbers a,b, and c such that sum…

indirect proof

The measure of an exterior angle of a t…

If two lines are cut by a transversal s…

If two lines are cut by a transversal s…

a type of proof where it is first assumed that the statement i…

either remote interior angle

then lines are parallel

the lines are parallel

indirect proof

a type of proof where it is first assumed that the statement i…

The measure of an exterior angle of a t…

either remote interior angle

Right Angle

Obtuse Angle

Acute Angle

Straight Angle

An angle with a measure of 90

An angle with a measure greater than 90 but less than 180

An angle with a measure less than 90 but greater than 0

An angle with a measure of 180

Right Angle

An angle with a measure of 90

Obtuse Angle

An angle with a measure greater than 90 but less than 180

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

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 r…

parallel lines

perpendicular lines

skew lines

parallel planes

coplanar lines that do not intersect

Lines that intersect to form right angles

not in the same plane, not parallel, and do not intersect

planes that do not intersect

parallel lines

coplanar lines that do not intersect

perpendicular lines

Lines that intersect to form right angles

vector

initial point

terminal point

translation

A quantity that has both magnitude and direction.

The starting point.

The endpoint.

A transformation that shifts or slides every point of a figure…

vector

A quantity that has both magnitude and direction.

initial point

The starting point.

Through any two points there is exactly…

If two distinct lines intersect, then t…

If two distinct planes intersect, then…

Through any three _______________ point…

one line

one point

one plane

noncollinear

Through any two points there is exactly…

one line

If two distinct lines intersect, then t…

one point

Point

Line

Coplanar

Collinear

The intersection of a line and a plane

The intersection of two planes

Points that lie in the same plane

Points that lie in a line

Point

The intersection of a line and a plane

Line

The intersection of two planes

The sum of the angles measures in a tri…

Acute angles of a right triangle are

The measure of each angle in an equiang…

interior

180 degrees

complementary

60 degrees

set of all points inside a figure

The sum of the angles measures in a tri…

180 degrees

Acute angles of a right triangle are

complementary