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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

Angle of rotation

Axis of symmetry

Line of reflection

Line of symmetry

the angle through which a preimage is rotated to form the ima…

A line that divides a plane figure or a graph into two congru…

A line that a figure is flipped across to create a mirror ima…

a line that divides a figure into two halves that are mirror…

Angle of rotation

the angle through which a preimage is rotated to form the ima…

Axis of symmetry

A line that divides a plane figure or a graph into two congru…

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

transformation

preimage

image

isometry

a change in the position, shape, or size of a figure

the original figure

the transformed figure

a transformation in which the preimage and image are congruent

transformation

a change in the position, shape, or size of a figure

preimage

the original figure

transformation

isometry

translation

preimage

A change in the position, shape, or size of a figure.

A transformation in which the preimage and image are congruent

All points in a figure move the same distance in the same dir…

The given or original figure on which a transformation is per…

transformation

A change in the position, shape, or size of a figure.

isometry

A transformation in which the preimage and image are congruent

Center

Chord

Secant

Point of Tangency

given point from which all points on a circle are the same di…

A segment whose endpoints are 2 points... on a circle.

A line that intersects a circle in two points

Point where a Tangent segment touches a circle

Center

given point from which all points on a circle are the same di…

Chord

A segment whose endpoints are 2 points... on a circle.

transformation

reflection

isometry

line of symmetry

reflections, rotations, translations, and dilations are ALL t…

a transformation that flips a figure. a figure can be reflect…

also called a congruence transformation. means that the image…

if you fold a figure and the two halves match exactly, the fo…

transformation

reflections, rotations, translations, and dilations are ALL t…

reflection

a transformation that flips a figure. a figure can be reflect…

Transformation

Preimage

Image

Rigid Motion

Change the position, shape, or size of a figure.

Original figure in a transformation.

New figure after the transformation

A transformation that the figure maintains the same shape and…

Transformation

Change the position, shape, or size of a figure.

Preimage

Original figure in a transformation.

Alternate Interior Angles

Exterior Angle

Complementary Angles

Supplementary Angles

Angles between a pair of lines that switch sides of a third i…

When a side of a triangle is extended to form an angle outsid…

Two angles whose measures add up to 90°. Angles T and V are c…

Two angles whose measures add up to 180°. Angles A and B are…

Alternate Interior Angles

Angles between a pair of lines that switch sides of a third i…

Exterior Angle

When a side of a triangle is extended to form an angle outsid…

point

line

plane

coplanar lines

A location in space with no size or shape. Represented by a d…

A straight continuous arrangement of an infinite number of po…

A flat surface with infinite length and width, but no depth.…

Two or more lines located in one plane.

point

A location in space with no size or shape. Represented by a d…

line

A straight continuous arrangement of an infinite number of po…

transformation

reflection

line of reflection

isometry

In a pane, a mapping for which each point has exactly one ima…

A transformation representing a flip of the figure over a poi…

A line through a figure that separates the figure into two mi…

A mapping for which the original figure and its image are con…

transformation

In a pane, a mapping for which each point has exactly one ima…

reflection

A transformation representing a flip of the figure over a poi…

Transformation

Isometry

Translation

Translation along <a,b>

Moves or changes a figure in some way to produce a new figure…

A transformation that does not change the shape or size of a…

Transformation along a vector

(x, y) --> (x + a, y + b)

Transformation

Moves or changes a figure in some way to produce a new figure…

Isometry

A transformation that does not change the shape or size of a…

Line of Reflection

Translation Vector

Center of Rotation

Angle of Rotation

A line through a figure that separates the figure into two mi…

The vector in which a translation maps each point to its image

A fixed point about which shapes move in a circular motion to…

The angle through which a preimage is rotated to form the image

Line of Reflection

A line through a figure that separates the figure into two mi…

Translation Vector

The vector in which a translation maps each point to its image

Center

Chord

Secant

Point of Tangency

given point from which all points on a circle are the same di…

A segment whose endpoints are 2 points... on a circle.

A line that intersects a circle in two points

Point where a Tangent segment touches a circle

Center

given point from which all points on a circle are the same di…

Chord

A segment whose endpoints are 2 points... on a circle.

circle

center

radius

chord

the set of points in a plane that are a given distance from a…

the given point at the middle of the circle

the distance from the center to the edge of the circle

a segment whose endpoints lie on a circle

circle

the set of points in a plane that are a given distance from a…

center

the given point at the middle of the circle

preimage

component form

image

transformation

the original figure before it is manipulated

horizontal first, then vertical

the new figure after it has been manipulated

manipulation that changes a figure

preimage

the original figure before it is manipulated

component form

horizontal first, then vertical

Ratio

Proportion

Cross Products

Geometric Mean

A comparison of two quantities

An equation that states that two ratios are equal

In a proportion, if a/b=c/d, then a**d = b**a

In a proportion, If a/b = x/b, the geometric mean ... of a and b…

Ratio

A comparison of two quantities

Proportion

An equation that states that two ratios are equal

radius

chord

diameter

secant

a segment that joins the center to a point on the circle

segments whose endpoints lie on the circle

a chord that contains the center

contains a chord; extends beyond the circle points

radius

a segment that joins the center to a point on the circle

chord

segments whose endpoints lie on the circle

Postulate 8 or The Area Postulate

Postulate 9

Corollary to Postulate 9

Theorem 38

Every polygonal region has a positive number called its area…

The area of a rectangle is the product of its base and altitu…

The area of a square is the square of its sides.

The area of a right triangle is half the product of its legs.

Postulate 8 or The Area Postulate

Every polygonal region has a positive number called its area…

Postulate 9

The area of a rectangle is the product of its base and altitu…

Transformation

Preimage

Image

Rigid Motion

A change in position, size, or shape of a geometric figure.

Original figure before a transformation. (Ex. Triangle ABC)

Resulting figure after a transformation. (Ex. Triangle A'B'C')

Transformation in the plane that preserves distance and angle…

Transformation

A change in position, size, or shape of a geometric figure.

Preimage

Original figure before a transformation. (Ex. Triangle ABC)

Transformation

Reflection

Rotation

Translation

A figure that has the same shape but is rotated, flipped, dil…

Mirror Image of a figure

one point rotating on a specific point by a given angle.

Sliding or Moving a shape but without rotating or flipping th…

Transformation

A figure that has the same shape but is rotated, flipped, dil…

Reflection

Mirror Image of a figure

polygonal region

area postulate

The area of a rectangle is the product…

The area of a square is...

the union of a polygon and its interior

every polygonal region has a positive number called its area…

...its base and altitude.

...the square of its side.

polygonal region

the union of a polygon and its interior

area postulate

every polygonal region has a positive number called its area…

transformation

preimage

image

isometry

a change in position, shape or size of a geometric figure

the original figure

the resulting figure

a transformation in which the preimage and image are congruent

transformation

a change in position, shape or size of a geometric figure

preimage

the original figure

glide reflection

reduction

rotational symmetry

isometry

A composition of a glide (translation and a reflection in a l…

When the scale factor is between 0 and 1 between the preimage…

A figure has this if it is its own image for some rotation.

A type of transformation in which the preimage and image are…

glide reflection

A composition of a glide (translation and a reflection in a l…

reduction

When the scale factor is between 0 and 1 between the preimage…

transformation

reflection

rotation

image

moves or changes a figure in some way to produce a new figure

a transformation that uses a line like a mirror to reflect an…

a transformation in which a figure is turned about a fixed po…

the new figure that a transformation produces

transformation

moves or changes a figure in some way to produce a new figure

reflection

a transformation that uses a line like a mirror to reflect an…

angle of depression

angle of elevation

cosine

geometric mean

The angle that a downward line of sight makes with a horizont…

The angle that an upward line of sight makes with a horizonta…

A trigonometric ratio for acute angles that involves the leng…

The positive number x that satisfies a/x = x/b... So, x² = ab an…

angle of depression

The angle that a downward line of sight makes with a horizont…

angle of elevation

The angle that an upward line of sight makes with a horizonta…

angle of rotation

angle of rotational symmetry

center of dilation

center of rotation

an angle formed by a rotating ray, called the terminal side,…

The smallest angle through which a figure with rotational sym…

The intersection of the lines that connect each point of the…

The point around which a figure is rotated.

angle of rotation

an angle formed by a rotating ray, called the terminal side,…

angle of rotational symmetry

The smallest angle through which a figure with rotational sym…

Transformation

Rigid or Congruence Transformation

Examples of Rigid Transformation

Non-Rigid or Similarity Transformation

changes the orientation, location, and size of a figure

a transformation where the figure maintains its shape and size

reflection, translation, rotation

a transformation where the figure maintains its shape but not…

Transformation

changes the orientation, location, and size of a figure

Rigid or Congruence Transformation

a transformation where the figure maintains its shape and size

Chord Postulate

Congruent circles

secant

tangent

if a line intersects the interior of a circle, the it contain…

circle in which the radii are congruent

line that intersects a circle at exactly two points

line that intersects a circle at one point

Chord Postulate

if a line intersects the interior of a circle, the it contain…

Congruent circles

circle in which the radii are congruent

What is the equation for Tan A?

What is the equation for Sin A?

What is the equation for Cos A?

What is an identity equation?

length of leg opposite ∠A over Leg Adjacent to ∠A.

Leg opposite ∠A over hypotenuse.

Leg adjacent to ∠A over hypotenuse.

Sin x° = Cos (90-x)° for values of x between 0 and 90.

What is the equation for Tan A?

length of leg opposite ∠A over Leg Adjacent to ∠A.

What is the equation for Sin A?

Leg opposite ∠A over hypotenuse.

transformations

preimage

image

congruence transformation

Change.... A mapping of a preimage point to an image point.

The graph of an object before a transformation.... (A,B)

A figure that results from the transformation.... (A',B')

A mapping where the preimage and the image are the same.

transformations

Change.... A mapping of a preimage point to an image point.

preimage

The graph of an object before a transformation.... (A,B)

chord

secant

a circle is named by its___________

tangent

a segment whose end pts are on the circle

a line that contains a chord

center

a line intersects one point on a circle. ... that point is calle…

chord

a segment whose end pts are on the circle

secant

a line that contains a chord

cone

face

edge

polyhedron

a three-dimensional figure with one vertex and one circular b…

a flat surface of a polyhedron

the line segment along which two faces of a polyhedron inters…

a three-dimensional figure in which all the surfaces or faces…

cone

a three-dimensional figure with one vertex and one circular b…

face

a flat surface of a polyhedron

9.1 isometry

9.4 composition of transformations

9.4 glide reflection

9.5 symmetry

a transformation that does not change the shape or size of a…

one transformation followed by another

the composition of a translation and a reflection across a li…

a figure in which a transformation of the figure coincides wi…

9.1 isometry

a transformation that does not change the shape or size of a…

9.4 composition of transformations

one transformation followed by another

Composition

Dilation

Enlargement

Glide Reflection

Is a combination of two or more transformation, each transfor…

A transformation in which a figure grows larger. Dilation's m…

A transformation which changes the size of an object without…

Is the composition of a translation followed by a reflection…

Composition

Is a combination of two or more transformation, each transfor…

Dilation

A transformation in which a figure grows larger. Dilation's m…

image

preimage

isometry

vector

the product of a transformation, a new figure

the original figure

a transformation that preserves length and angle measure

a quantity that has both directions and magnitude, or size

image

the product of a transformation, a new figure

preimage

the original figure

solid

polyhedron

rectangular prism

triangular prism

A three-dimensional body or geometric figure.

Another name for a 3-D shape

A solid shape that has: 6 faces (4 rectangles & 2 squares), 8…

A prism that has triangular bases

solid

A three-dimensional body or geometric figure.

polyhedron

Another name for a 3-D shape

apothem

central angle

circle

area

perpendicular distance from the center of a regular polygon t…

angle whose vertex is the center of the circle

set of points in a plane that are a fixed distance from a giv…

The number of square units required to cover a surface.

apothem

perpendicular distance from the center of a regular polygon t…

central angle

angle whose vertex is the center of the circle

Isometry

Congruence Transformation

Reflection

Line of Symmetry

Transformation that does not change the size, shape, or angle…

Transformation that does not change the size, shape, or angle…

Flip over a line.

The fold line where two halves match exactly.

Isometry

Transformation that does not change the size, shape, or angle…

Congruence Transformation

Transformation that does not change the size, shape, or angle…

circle

radius

chord

diameter

round plane figure whose boundary (the circumference) consist…

straight line from the center to the circumference of a circl…

a geometric line segment whose endpoints both lie on the circle

straight line passing from side to side through the center of…

circle

round plane figure whose boundary (the circumference) consist…

radius

straight line from the center to the circumference of a circl…

a tangent to a circle is_____ the radi…

tangent segments to a circle from a po…

if two chords in a circle are congruen…

if two chords in a circle are congruen…

perpendicular

congruent

congruent

arcs

a tangent to a circle is_____ the radi…

perpendicular

tangent segments to a circle from a po…

congruent

point

line

line segment

ray

a location in space

straight straight continous arrangement of points infinitely…

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 straight continous arrangement of points infinitely…

Chord

Diameter

Arc

Central Angle

a segment whose endpoints are on the circle

a chord that contains the center of the circle

two points on a circle and all of the points on the circle ne…

an angle whose vertex is the center of the circle

Chord

a segment whose endpoints are on the circle

Diameter

a chord that contains the center of the circle

circle

center

radius

fact

the set of points in a plane equidistant from a fixed point

fixed point in a circle

distance from the center to a point on a circle

all radii are congruent in the same circle

circle

the set of points in a plane equidistant from a fixed point

center

fixed point in a circle