Study sets matching "geometry 8"

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Study sets matching "geometry 8"

11 terms
Geometry 1.8
Perimeter
Area
Perimeter - Square
Area - Square
The sum of the lengths of the sides of a polygon. (P)
The number of square units a polygon encloses. (A)
Side length is s, P=4s
Side length is s, A=s²
Perimeter
The sum of the lengths of the sides of a polygon. (P)
Area
The number of square units a polygon encloses. (A)
37 terms
Geometry Ch., 1-5
acute
obtuse
point
segment
angle less than 90 degrees
angle greater than 90 degrees
no size
has endpoints
acute
angle less than 90 degrees
obtuse
angle greater than 90 degrees
19 terms
Chapter 8 Geometry Vocabulary
radius (regular polygon)
polygon
remote interior angles
linear scale factor
a line segment that connects the center of a regular polygon…
a two-dimensional closed figure of three or more line segment…
when a triangle has an exterior angles, these angles are the…
the ratio of similarity. the ratio of any pair of correspondi…
radius (regular polygon)
a line segment that connects the center of a regular polygon…
polygon
a two-dimensional closed figure of three or more line segment…
Geometry Vocabulary/Spelling #8
SLOPE.... Define.
RATE OF CHANGE... What is a synonym for r…
SLOPE-INTERCEPT FORM... What is the equat…
POINT-SLOPE FORM... What is the equation…
The steepness of a graph line; the ratio of the vertical chan…
slope
SLOPE.... Define.
The steepness of a graph line; the ratio of the vertical chan…
RATE OF CHANGE... What is a synonym for r…
slope
Chapter 8 Geometry Vocabulary
radius (regular polygon)
polygon
remote interior angles
linear scale factor
a line segment that connects the center of a regular polygon…
a two-dimensional closed figure of three or more line segment…
when a triangle has an exterior angles, these angles are the…
the ratio of similarity. the ratio of any pair of correspondi…
radius (regular polygon)
a line segment that connects the center of a regular polygon…
polygon
a two-dimensional closed figure of three or more line segment…
geometry 8
reflection
line of reflection
pre image
image
A transformation that "flips" a figure over a mirror or line.
A line that a figure is flipped across to create a mirror ima…
The original geometric figure
figure after a reflection
reflection
A transformation that "flips" a figure over a mirror or line.
line of reflection
A line that a figure is flipped across to create a mirror ima…
19 terms
Geometry 8
Ratio of a to b
Proportion
Extremes
Means
If a and b are to quantities that are measured in the same un…
An equation that equates two ratios.
In proportion a/b=c/d, they are a and d.
In proportion a/b=c/d, they are b and c.
Ratio of a to b
If a and b are to quantities that are measured in the same un…
Proportion
An equation that equates two ratios.
29 terms
Geometry Ch. #8 Vocabulary
Geometric Mean
Triangle Hypotenuse Altitude Theorem
Geometric Mean (Altitude) Theorem
Geometric Mean (Leg) Theorem
The positive root of the product of two numbers
If the altitude is drawn to the hypotenuse of a right triangl…
The altitude drawn to the hypotenuse of a right triangle sepa…
The altitude drawn to the hypotenuse of a right triangle sepa…
Geometric Mean
The positive root of the product of two numbers
Triangle Hypotenuse Altitude Theorem
If the altitude is drawn to the hypotenuse of a right triangl…
31 terms
Geometry 8
Diagonal
Endpoint
Midpoint
Distance formula
A line segment that connects two nonconsecutive vertices of a…
A point at the end of a ray, either end of a line segment, or…
The point halfway between the endpoints of a line segment
The formula that gives the distance between two points on a c…
Diagonal
A line segment that connects two nonconsecutive vertices of a…
Endpoint
A point at the end of a ray, either end of a line segment, or…
13 terms
Geometry Module 8
altitude of a triangle
centroid of a triangle
circumcenter of a triangle
circumscribed circle
a perpendicular segment from a vertex to the line containing…
the point of concurrency of the three medians of a triangle;…
the point of concurrency of the three perpendicular bisectors…
every vertex of the polygon lies on the circle
altitude of a triangle
a perpendicular segment from a vertex to the line containing…
centroid of a triangle
the point of concurrency of the three medians of a triangle;…
12 terms
8. Geometry
Transformation
Translation
Reflection
Dilation
The movement of a geometric figure
A slide of the figure
A transformation that "flips" a figure over a mirror or refle…
A transformation that changes the size of an object, but not…
Transformation
The movement of a geometric figure
Translation
A slide of the figure
20 terms
geometry 8
largest
product
to simplify (or reduce) a radical:... 1. find the ______ perfect…
2. write the number appearing under your radical as the _____…
largest
to simplify (or reduce) a radical:... 1. find the ______ perfect…
product
2. write the number appearing under your radical as the _____…
6 terms
1.8 Discovering Geometry
space
solid
isometric drawing
net
An undefined term thought of as the set of all points. Space…
A three-dimensional geometric figure that completely encloses…
A drawing of three-dimensional object that shows three faces…
A two-dimensional pattern that can be folded to form a three-…
space
An undefined term thought of as the set of all points. Space…
solid
A three-dimensional geometric figure that completely encloses…
Geometry 8
Complementary
Supplementary
Opposite Angles
Alternate Angles
An angle sum of 90°
An angle sum of 180°
When 2 lines intersect and they're equal
Z
Complementary
An angle sum of 90°
Supplementary
An angle sum of 180°
Geometry 8
Proportion
proportion 1
proportion 2
proportion 3
setting 2 fractions equal to eachother
setting cross products equal to eachother
rearranging or flipping the fraction and then setting them eq…
making the numerators a fraction and the denominators a fract…
Proportion
setting 2 fractions equal to eachother
proportion 1
setting cross products equal to eachother
22 terms
geometry 8
equal
nonzero
largest
pythagorean thm:... in a right triangle, the sum of the squares…
pythagorean triple: a set of _____... numbers that satisfy the e…
to simplify (or reduce) a radical:... 1. find the ______ perfect…
equal
pythagorean thm:... in a right triangle, the sum of the squares…
nonzero
pythagorean triple: a set of _____... numbers that satisfy the e…
43 terms
6-8 Geometry Vocabulary
point
line
line segment
ray
an exact location in space
A set of points that goes on forever in both directions.
Part of a line that has two endpoints.
part of a line that has an endpoint and extends forever in on…
point
an exact location in space
line
A set of points that goes on forever in both directions.
H Geometry topic 8
median of a triangle
altitude of a triangle
perpendicular bisector
angle bisector
a segment whose endpoints are a vertex and the midpoint of th…
A perpendicular segment from a vertex to the line containing…
a segment, ray, line, or plane that is perpendicular to a seg…
a ray that divides an angle into two congruent angles
median of a triangle
a segment whose endpoints are a vertex and the midpoint of th…
altitude of a triangle
A perpendicular segment from a vertex to the line containing…
12 terms
Geometry Lesson 1.8 Vocabulary
Space
Cone
Cylinder
Pyramid with a square base
the set of all points. Cannot be contained in a flat surface…
Has a circular base and sides that rise to a point.
Has 2 circular bases.
A square base that has sides that meet at a point.
Space
the set of all points. Cannot be contained in a flat surface…
Cone
Has a circular base and sides that rise to a point.
6 terms
Math 8 - Geometry Terms
Vertical Angles
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
two angles whose sides form two pairs of opposite rays
Angles that have the same position on two different parallel…
angles between 2 lines and on opposite sides of a transversal
Angles that lay outside the parallel lines and are on opposit…
Vertical Angles
two angles whose sides form two pairs of opposite rays
Corresponding Angles
Angles that have the same position on two different parallel…
16 terms
Grade 8 Geometry
adjacent angles
alternate exterior angles
alternate interior angles
supplementary angles
side by side angles that share a common vertex and a ray
angles that lie outside a pair of parallel lines and on oppos…
Angles that lie within a pair of parallel lines and on opposi…
Angles that add to 180 degrees (can be adjacent or non-adjace…
adjacent angles
side by side angles that share a common vertex and a ray
alternate exterior angles
angles that lie outside a pair of parallel lines and on oppos…
Unit 3 - Geometry Math 8
Angle
Ray
Complementary Angles
Supplementary Angles
The union of two rays with a common endpoint called the vertex.
Part of a line with one endpoint. It extends indefinitely in…
The sum of two angles is 90 degrees.
The sum of two angles is 180 degrees.
Angle
The union of two rays with a common endpoint called the vertex.
Ray
Part of a line with one endpoint. It extends indefinitely in…
14 terms
Geometry Vocabulary 1-8
polygon
triangle
quadrilateral
pentagon
closed plane figure formed by three or more segments
3 sided polygon
4 sided polygon
5 sided polygon
polygon
closed plane figure formed by three or more segments
triangle
3 sided polygon
5 terms
3.8 notes - Geometry
Median Concurrency Conjecture
Centroid Conjecture
Center of Gravity Conjecture
Center of Gravity
The three medians of a triangle are concurrent
The centroid of a triangle divides each median into two parts…
The centroid of a triangle is the center of gravity of the tr…
Balancing point for the triangle
Median Concurrency Conjecture
The three medians of a triangle are concurrent
Centroid Conjecture
The centroid of a triangle divides each median into two parts…
Math 8 Geometry
translation
reflection
rotation
dilation
slide
flip
turn
reduce or enlarge
translation
slide
reflection
flip
32 terms
geometry8
What is a translation?
The image of a polygon
In a polygon rotation, do you have to…
Rigid transformation examples
A movement of all the points in the same direction for the sa…
The new set of points of the polygon after a transformation
No, you can rotate around any location on the plane
Translation, rotation, reflection
What is a translation?
A movement of all the points in the same direction for the sa…
The image of a polygon
The new set of points of the polygon after a transformation
Geometry Lesson 8
formula
perimeter
perimeter of a rectangle
area
a mathematical relationship expressed with symbols
the sum of the side lengths
the size of the region bounded by the figure
formula
a mathematical relationship expressed with symbols
perimeter
the sum of the side lengths
96 terms
Geometry Lesson 1.1-1.8 Vocabulary
Geometry
Point
Line
Plane
The study of earth measure.
Has location, but no size.
A straight, continuous arrangement of infinitely many points.…
Has length and width but no thickness. It is a flat surface t…
Geometry
The study of earth measure.
Point
Has location, but no size.
37 terms
Math 8 Geometry Terms
Point
Line
Segment
Ray
a specific location on a coordinate plane.
A straight path that extends without end in opposite directio…
A part of a line between two endpoints.
a straight line extending from a point
Point
a specific location on a coordinate plane.
Line
A straight path that extends without end in opposite directio…
Geometry 8
Standard Form
Slope Intercept Form
Point Slope Form
Slope Formula
Ax+By=C
y=mx+b
y-y1=m(x-x1)
y2-y1... -------... x2-x1
Standard Form
Ax+By=C
Slope Intercept Form
y=mx+b
16 terms
Geometry Chapter 8 Vocabulary
base angle
bases
consecutive
diagonals
each trapezoid has two pairs of ______
parallel sides of a trapezoid
sides of a polygon that share a vertex
a segment joining two non consecutive vertices of a polygon
base angle
each trapezoid has two pairs of ______
bases
parallel sides of a trapezoid
25 terms
geometry 8
the sum of the interior angles
how to find one interior angle
the measure of an exterior angle
slope
(n-2)180
(n-2)180/n
360/n
the sum of the interior angles
(n-2)180
how to find one interior angle
(n-2)180/n
Geometry Ch. 8
Theorem 8.1: Polygon Interior Angles T…
Corollary to Theorem 8.1: Interior Ang…
Theorem 8.2
parallelogram
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
The sum of the measures of the exterior angles of a convex po…
a quadrilateral with both pairs of opposite sides parallel
Theorem 8.1: Polygon Interior Angles T…
The sum of the measures of the interior angles of a convex n-…
Corollary to Theorem 8.1: Interior Ang…
The sum of the measures of the interior angles of a quadrilat…
Topic 8 Geometry
Square
Rectangle
Triangle
Line
A quadrilateral with 4 EQUAL sides and 4 right angles.... Opposi…
A quadrilateral with 4 sides and 4 right angles.... Opposite sid…
A polygon with 3 sides and 3 angles.
A straight path/line that goes without end in both directions.
Square
A quadrilateral with 4 EQUAL sides and 4 right angles.... Opposi…
Rectangle
A quadrilateral with 4 sides and 4 right angles.... Opposite sid…
10 terms
Geometry 8
90 degrees
180 degrees
270 degrees (same as -90 degrees)
over x-axis
(-y,x)
(-x,-y)
(y,-x)
(x,-y)
90 degrees
(-y,x)
180 degrees
(-x,-y)
7 terms
Geometry 8
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points is a straight line
If two lines intersect, they intersect at one point
If two points intersect, they intersect at one line
Through any non-collinear points there is a plane
Postulate 1-1
Through any two points is a straight line
Postulate 1-2
If two lines intersect, they intersect at one point
Geometry 8
Anocracy
Autocracy
Balance power
Boundary
A country that is not fully democratic/autocratic displays a…
A country that is ran for the interest of the ruler and not f…
A country of roughly=strength between opposing countries/alli…
Invisible line that marks a territory
Anocracy
A country that is not fully democratic/autocratic displays a…
Autocracy
A country that is ran for the interest of the ruler and not f…
7 terms
Geometry Chapter 8 Vocabulary
angle of depression
angle of elevation
cosine
Pythagorean triple
the angle formed by a horizontal line and the line of site to…
the angle formed by a horizontal line and the line of site to…
a set of nonzero whole numbers a, b, and c that satisfy the P…
angle of depression
the angle formed by a horizontal line and the line of site to…
angle of elevation
the angle formed by a horizontal line and the line of site to…
10 terms
Geometry #8
Conjecture
Counterexample
Deductive reasoning
Flowchart Proof
A statement or example that's believed to be true
An example that proves a conjecture or statement is false
The process of using logic to draw conclusions
A style of proof that uses boxes and arrows to show the struc…
Conjecture
A statement or example that's believed to be true
Counterexample
An example that proves a conjecture or statement is false
Geometry 8
60-30-90 triangle
45-45-90
Sin
Tan
Hyp=2sl... ll=sl (r) 3
Hyp=leg (r) 2
opp... _____... Hyp
Opp ... ______... Adj
60-30-90 triangle
Hyp=2sl... ll=sl (r) 3
45-45-90
Hyp=leg (r) 2
17 terms
Geometry Ch. 8
Area of a plane
Base
Altitude
Height
the measure of the region enclosed by the figure.
any side of a rectangle
any segment from one side of a parallelogram perpendicular to…
length of the side that is perpendicular to the base.
Area of a plane
the measure of the region enclosed by the figure.
Base
any side of a rectangle
24 terms
Geometry 8
definition of a line
definition of intersecting lines
definition of intersecting planes
definition of a plane
through any two points there is exactly one line.
if two distinct lines intersect then they intersect in exactl…
if two distinct planes intersect, then they intersect in exac…
through any noncollinear points there is exactly one plane
definition of a line
through any two points there is exactly one line.
definition of intersecting lines
if two distinct lines intersect then they intersect in exactl…
Geometry 8
Properties of parallelograms
Properties of rhombuses
Properties of rectangles
Properties of squares
1. Opposite sides and opposite angles are congruent ... 2. Conse…
1. Opposite sides and opposite angles are congruent ... 2. Conse…
1. Opposite sides and opposite angles are congruent ... 2. Conse…
All the properties of a rhombus and rectangle
Properties of parallelograms
1. Opposite sides and opposite angles are congruent ... 2. Conse…
Properties of rhombuses
1. Opposite sides and opposite angles are congruent ... 2. Conse…
Geometry 8
a ____ is two dimensional diagram of t…
a _____ point is a point that lies on…
a ____ projection is a form of three d…
the curved surface that connects that…
net
projected
orthographic
lateral
a ____ is two dimensional diagram of t…
net
a _____ point is a point that lies on…
projected
6 terms
Geometry 8
Proportion
AA Similarity
SSS Similarity
SAS Similarity
A comparison of numbers
IF 2 angles congruent then sim
If the sides are propotional then sim
IF corr angle congruent and 2 sides prop then sim
Proportion
A comparison of numbers
AA Similarity
IF 2 angles congruent then sim
9 terms
Geometry Ch. 8 Vocab
Diagonal
Parallelogram
Rhombus
Rectangle
a line segment joining two nonconsecutive vertices of a polyg…
a quadrilateral whose opposite sides are both parallel and eq…
A parallelogram with four equal sides
A parallelogram with four right angles
Diagonal
a line segment joining two nonconsecutive vertices of a polyg…
Parallelogram
a quadrilateral whose opposite sides are both parallel and eq…
9 terms
Geometry 8
Similarity
Ratio
proportion
Scale
two geometrical objects with the same shape
a comparison of two quantities
a statement that two ratios are equal
compares length in a drawing to actual length
Similarity
two geometrical objects with the same shape
Ratio
a comparison of two quantities
Geometry 8
Cosine
Sine
Consecutive angles
Tetrahedron
Adj/hypo
Oppo/hypo
Angles that are on two ends of any side of a polygon
A polyhedron with four faces all triangles
Cosine
Adj/hypo
Sine
Oppo/hypo
Geometry 8
Rectangle
Parallelogram
Triangle
Kite
bh or lw
bh or lw
1/2 bh
1/2 d1 d2
Rectangle
bh or lw
Parallelogram
bh or lw
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