Study sets matching "geometry chapter 9"

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Study sets matching "geometry chapter 9"

Chapter 9 Geometry Vocabulary
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
13 terms
Glencoe Geometry Chapter 9
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…
11 terms
Chapter 9 Geometry Key words
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…
11 terms
Geometry chapter 9
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
16 terms
Geometry Chapter 9
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
20 terms
Geometry Chapter 9
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.
24 terms
Chapter 9 Geometry Vocabulary
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
18 terms
Geometry Chapter 9 Vocabulary
angle of rotation
axis symmetry
center of rotation
composition of transformations
...
...
...
...
angle of rotation
...
axis symmetry
...
17 terms
Geometry Chapter 9 Vocabulary
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…
RAHS Geometry Chapter 9
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.
27 terms
geometry chapter 9
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
40 terms
Geometry Chapter 9
Geometry
straightedge
construct
line
branch of math
ruler with no numbers
figure made with compass and straightedge
straight continuous arrangement with infinite points
Geometry
branch of math
straightedge
ruler with no numbers
16 terms
Geometry Terms Chapter 9
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
19 terms
Hess Geometry Chapter 9
angle of depression
angle of elevation
cosine
inverse cosine
The angle that a downward line of sight makes with a horizont…
The angle that an upward line of sight makes with a horizonta…
Adjacent over hypotenuse.
An inverse trig ratio that lets you go backwards to find the…
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…
38 terms
Chapter 9 geometry
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
12 terms
Chapter 9 Geometry Terms
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…
Geometry Chapter 9 Vocabulary
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 ad = ba
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
20 terms
Geometry - Chapter 9
15
9.2
40
170
The perimeter of a rectangle with length of 5cm and width of…
The perimeter of a square with sides of length 2.3mm is _____…
The perimeter of a parallelogram with two sides 12cm long and…
The perimeter of a regular pentagon with sides of length 34in…
15
The perimeter of a rectangle with length of 5cm and width of…
9.2
The perimeter of a square with sides of length 2.3mm is _____…
Geometry Chapter 9
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
25 terms
Chapter 9 Geometry Terms
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…
Chapter 9 Geometry Vocab
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
10 terms
Geometry Chapter 9
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…
20 terms
Geometry Chapter 6
triangle
quadrilateral
pentagon
hexagon
a three-sided polygon
a four-sided polygon
a five-sided polygon
a six-sided polygon
triangle
a three-sided polygon
quadrilateral
a four-sided polygon
25 terms
Geometry Chapter 9
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
6 terms
Geometry Chapter 9
Theorem 9.1
Theorem 9.2
Theorem 9.3
Theorem 9.5 Converse of the Pythagorea…
If the altitude is drawn to the hypotenuse of a right triangl…
In a right triangle, the altitude from the right angle to the…
In a right triangle, the altitude from the right angle to the…
If the square of the length of the longest side of a triangle…
Theorem 9.1
If the altitude is drawn to the hypotenuse of a right triangl…
Theorem 9.2
In a right triangle, the altitude from the right angle to the…
12 terms
Geometry Chapter 9
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…
Chapter 9 Geometry Vocab
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…
10 terms
Geometry: Area: Chapter 9
Area
Triangles
Quadrilaterals
Formula
The number of square units required to cover a surface.
3 sided polygon
four sided shapes
A mathematical rule.
Area
The number of square units required to cover a surface.
Triangles
3 sided polygon
Chapter 9 Geometry
rotation of 270 degrees (CC)
reflected in the line y=x
reflected in y-axis
rotation of 90 degrees (CC)
(b,-a)
(b,a)
(-a,b)
(-b,a)
rotation of 270 degrees (CC)
(b,-a)
reflected in the line y=x
(b,a)
16 terms
Chapter 9 Geometry key vocabulary
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…
11 terms
Sheltered Geometry: Chapter 9 Vocabulary
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)
15 terms
Geometry Chapter 9 Vocabulary
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
32 terms
Chapter 9 Vocabulary Introduction to Geometry
point
line
plane
coplanar line
A location in space that has no size or shape. Often represen…
A straight continuous arrangement of an infinite number of po…
A flat surface that extends infinitely in all directions. Has…
Two or more lines that are located in the same plane.
point
A location in space that has no size or shape. Often represen…
line
A straight continuous arrangement of an infinite number of po…
geometry chapter 9 circles
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
14 terms
Geometry Chapter 9
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
Geometry Chapter 9
Pythagorean Theorem
What is the Pythagorean Triple that st…
What is the Pythagorean Triple that st…
What is the Pythagorean Triple that st…
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
Pythagorean Theorem
What is the Pythagorean Triple that st…
(3, 4, 5)
Geometry: Chapter 9, Matrices
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
15 terms
Geometry Chapter 9
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
12 terms
Geometry Chapter 9
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…
42 terms
Geometry Chapter 9
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…
24 terms
honors geometry chapter 9
circumference of a circle
area of a circle
arc
measure of arc (marc)
πr^2
2 points on a circle and all the points of the circle needed…
the measure of an arc is equal to the number of degrees it oc…
circumference of a circle
area of a circle
πr^2
Geometry Vocabulary Chapter 9
Apothem
Center of a Circle
Center of a regular polygon
Central angle of a regular polygon
perpendicular distance from the center of a regular polygon t…
point inside a circle that is the same distance from every po…
point that is equidistant from all vertices of the regular po…
angle whose vertex is the center of the regular polygon, and…
Apothem
perpendicular distance from the center of a regular polygon t…
Center of a Circle
point inside a circle that is the same distance from every po…
15 terms
Geometry Conjectures Chapter 9
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
Chapter 9 Geometry Vocab
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
Geometry - Chapter 9 (Walker)
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…
21 terms
Geometry- Chapter 9
union of a polygon and its interior
every polygonal region has a positive…
every polygonal region has a positive…
the area of a rectangle is the product…
polygonal region
congruent triangles have equal areas
the area of the polygonal region is equal to the sum of the a…
base and altitude
union of a polygon and its interior
polygonal region
every polygonal region has a positive…
congruent triangles have equal areas
47 terms
Geometry Chapter 9 Circles
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
Geometry chapter 9
Area of a triangle
Law of sines
Law of Cosines
Inverse Signs
Area= 1/2 b•c sin A
Sin A Sin B Sin C... ----- = ---- = ----- ... a b c... Or variables o…
a2= b2+ c2 - 2bc cos A
inverse tan A = y, then sin-1(x)=m<A
Area of a triangle
Area= 1/2 b•c sin A
Law of sines
Sin A Sin B Sin C... ----- = ---- = ----- ... a b c... Or variables o…
38 terms
Geometry Chapter 9, Circle Geometry
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.
geometry chapter 9 vocab
transformation
preimage
image
rigid motion
function or mapping that results in a change in the position,…
the original figure
the resulting figure
a transformation that preserves distance and angle measures
transformation
function or mapping that results in a change in the position,…
preimage
the original figure
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