# Study sets matching "geo geometry"

Study sets

Classes

Users

Radius

Diameter

Chord

circumference

Any straight line from the center of a circle to its circumfer…

the distance measured from one point on a circle to another go…

Any straight line linking two points on a circle`s circumferen…

The total length of the outside edge (perimeter) of a circle.

Radius

Any straight line from the center of a circle to its circumfer…

Diameter

the distance measured from one point on a circle to another go…

congruent figures

corresponding parts

Side-Side-Side Congruence Postulate (SS…

Side-Angle-Side Congruence Postulate (S…

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 of…

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

congruent figures

figures that have equal sides and equal angle measures

corresponding parts

Figures or sides or angles that have the same relative position

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

Image

Pre-Image

Transformation

Rigid Transformation / Isometry

The new, resulting figure after a transformation

The original shape prior to the transformation

General term for 4 specific ways to move/manipulate a figure.…

When an image is congruent to its original figure (all types e…

Image

The new, resulting figure after a transformation

Pre-Image

The original shape prior to the transformation

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

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…

Point

Line

Plane

Collinear Points

indicates a location, has no size

a straight path that extends in two opposite directions withou…

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 withou…

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

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…

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…

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°.

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.

noncollinear

coplanar

noncoplanar

bisector

Points that do not lie on the same line

points that lie on the same plane

points not in the same plane

Something that cuts an object into two equal parts

noncollinear

Points that do not lie on the same line

coplanar

points that lie on the same plane

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

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

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 poin…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.