#### Study sets matching "geometry chapter 9"

#### Study sets matching "geometry chapter 9"

Angle of rotation

Axis of symmetry

Line of reflection

Line of symmetry

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

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

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

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

Angle of rotation

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

Axis of symmetry

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

bases

bisect

circle

concentric circles

the congruent parallel polygons that form the "top" and "botto…

to divide into two congruent parts

the set of all points on a flat surface that are the same dist…

circles that have the same center

bases

the congruent parallel polygons that form the "top" and "botto…

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 imag…

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

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

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

Angle of rotation

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

Axis of symmetry

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

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 dire…

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

transformation

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

isometry

A transformation in which the preimage and image are congruent

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

reflection

isometry

line of symmetry

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

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

also called a congruence transformation. means that the image…

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

transformation

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

reflection

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

Preimage

Image

Transformation

Rigid Transformation

the original figure in a transformation

The resulting figure after a transformation

A movement of a geometric figure

Movements of figures that preserve their shape and size

Preimage

the original figure in a transformation

Image

The resulting figure after a transformation

Pythagorean theorm

Converse of Pythagorean theorm

Pythagorean inequalities theorm

45-45-90 triangle theorm

In a right triangle- the square of the length of the hypotenus…

Is the square length of the longest side of a triangle is equa…

For any triangle ABC where c is the length of the longest side…

In a 45-45-90 triangle- they hypotenuse is √2 times as long as…

Pythagorean theorm

In a right triangle- the square of the length of the hypotenus…

Converse of Pythagorean theorm

Is the square length of the longest side of a triangle is equa…

circle

radius

chord

diameter

the locus of points in a plane that are equidistant from a giv…

the specific distance that determines the size of the circle

a segment whose endpoints are on the circle

a chord that passes through the center

circle

the locus of points in a plane that are equidistant from a giv…

radius

the specific distance that determines the size of the circle

Center

Chord

Secant

Point of Tangency

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

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 dis…

Chord

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

State the pythagorean theorem:

What qualification do three side length…

30-60-90 triangle side relationships

45-45-90 triangle side relationships

the smallest two have to have a sum bigger than the biggest

State the pythagorean theorem:

What qualification do three side length…

the smallest two have to have a sum bigger than the biggest

Center

Chord

Secant

Point of Tangency

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

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 dis…

Chord

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

bases

bisect

circle

concentric circles

the congruent parallel polygons that form the "top" and "botto…

to divide into two congruent parts

the set of all points on a flat surface that are the same dist…

circles that have the same center

bases

the congruent parallel polygons that form the "top" and "botto…

bisect

to divide into two congruent parts

transformation

reflection

line of reflection

isometry

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

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

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

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

transformation

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

reflection

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

apothem

center of a circle

center of a regular polygon

circle

the perpendicular distance from the center of a regular polygo…

the point inside a circle that is the same distance from every…

the point that is equidistant from all vertices of the regular…

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

apothem

the perpendicular distance from the center of a regular polygo…

center of a circle

the point inside a circle that is the same distance from every…

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.

pythagorean triple

pythagorean theorem

converse of the pythagorean theorem

hypotenuse

a set of three positive integers a,b and c that satisfy the eq…

A squared plus B squared equals C squared

C squared equals A squared plus B squared

the longest side of a right triangle

pythagorean triple

a set of three positive integers a,b and c that satisfy the eq…

pythagorean theorem

A squared plus B squared equals C squared

Hypotenuse

Legs (of a triangle)

The Pythagorean Theorem

The Converse of the Pythagorean Theorem

the side of a right triangle opposite the right angle

the sides of a right triangle touching the right angle

a²+b²=c², used to find the missing measurement in a RIGHT tria…

If the lengths of three sides of a triangle satisfy the Pythag…

Hypotenuse

the side of a right triangle opposite the right angle

Legs (of a triangle)

the sides of a right triangle touching the right angle

Cross products

Extremes

Means

Geometric mean

Every proportion has two of these

20/30=2/3 (20 and 3 are these)

20/30=2/3 (30 and 2 are these)

Between 2 positive numbers a & b is the positive number x in a…

Cross products

Every proportion has two of these

Extremes

20/30=2/3 (20 and 3 are these)

angle of depression

angle of elevation

cosine

inverse cosine

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

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

Adjacent over hypotenuse.

An inverse trig ratio that lets you go backwards to find the m…

angle of depression

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

angle of elevation

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

Line of Reflection

Translation Vector

Center of Rotation

Angle of Rotation

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

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 mir…

Translation Vector

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

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