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Study sets matching "geometry chapter 6 similarity"

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Study sets matching "geometry chapter 6 similarity"

Geometry Chapter 6: Similarity
Similar Polygons
Scale Factor
Two polygons are similar if the corres…
Two polygons are similar if the corres…
2 Polygons are similar if corresponding angles are congruent…
If 2 polygons are similar, then the ratio of the lengths of t…
Congruent
Similar
Similar Polygons
2 Polygons are similar if corresponding angles are congruent…
Scale Factor
If 2 polygons are similar, then the ratio of the lengths of t…
10 terms
Geometry Chapter 6- Similarity
Ratio
Proportion
Similar polygons
Scale Factor
a comparison of 2 quantities
equation stating that 2 ratios are equal, solved by cross-mul…
polygons that are the same shape, but different sizes
ratio comparing the lengths of corresponding sizes of similar…
Ratio
a comparison of 2 quantities
Proportion
equation stating that 2 ratios are equal, solved by cross-mul…
11 terms
Geometry Final: Chapter 6 - Similarity
Ratio
Proportion
Similar Polygons
Scale Factor
A comparison of two quantities
Equation stating that two ratios are equal. You solve a propo…
Polygons that are the same shape but different sizes
Ratio comparing the lengths of corresponding sides of similar…
Ratio
A comparison of two quantities
Proportion
Equation stating that two ratios are equal. You solve a propo…
20 terms
Chapter 6 Geometry McDougal Littel (Similarity)
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
20 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
14 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Scale Factor
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
The common ratio of the lengths of two corresponding sides of…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
10 terms
Geometry Chapter 7 Similarity
ratio
proportion
similar
scale factor
The ____ of one number to another is the quotient when the fi…
A _____ is an equation stating that two ratios are equal. (ex…
Two polygons are ____ if their vertices can be paired so that…
If two polygons are similar, then the ratio of the lengths of…
ratio
The ____ of one number to another is the quotient when the fi…
proportion
A _____ is an equation stating that two ratios are equal. (ex…
20 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
10 terms
Chapter 6 Geometry McDougal Littel (Similarity)
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
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
20 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
23 terms
Chapter 6 Geometry McDougal Littel (Similarity)
Ratio
Extended ratios
Proportion
Means
The comparison of two numbers using division; the ratio of a…
Ratios that compare more than 2 values; example: ratios of th…
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
Ratio
The comparison of two numbers using division; the ratio of a…
Extended ratios
Ratios that compare more than 2 values; example: ratios of th…
11 terms
Geometry Chapter 7 Similarity
ratio
proportion
similar
scale factor
The ____ of one number to another is the quotient when the fi…
A _____ is an equation stating that two ratios are equal. (ex…
Two polygons are ____ if their vertices can be paired so that…
If two polygons are similar, then the ratio of the lengths of…
ratio
The ____ of one number to another is the quotient when the fi…
proportion
A _____ is an equation stating that two ratios are equal. (ex…
11 terms
Geometry Chapter 7 - Similarity
ratio
proportion
means of a proportion
extremes of a proportion
is a comparison of two numbers and can be written in three di…
An equation stating that two ratios are equal
In the proportion a/b = c/d, b and c are the means
In the proportion a/b = c/d, a and d are the extremes
ratio
is a comparison of two numbers and can be written in three di…
proportion
An equation stating that two ratios are equal
10 terms
Chapter 6 - Similarity
ratio
proportion
geometric mean
scale
a comparison if two numbers using division
an equation that states that two ratios are equal
for two positive number (a & B) the positive number x that sa…
a ratio that describes how the dimensions in a scale drawing…
ratio
a comparison if two numbers using division
proportion
an equation that states that two ratios are equal
12 terms
Geometry Unit 6 Similarity
Scale Drawing
Scale
Proportion
Similar Polygons
a drawing that is the same shape as the object it represents…
A ratio that describes how the dimensions in the drawing are…
Two ratios that are equal
A set of polygons where corresponding angles are congruent an…
Scale Drawing
a drawing that is the same shape as the object it represents…
Scale
A ratio that describes how the dimensions in the drawing are…
9 terms
Chapter 6 Similarity
Reciprocal Property
perimeters of similar polygons
Angle-Angle Similarity Postulate
Side Side Side Similarity Theorem
If two ratios are equal, then their reciprocals are also equal
if two polygons are similar, them the ratio of their perimete…
If two angles of one triangle are congruent to two angles of…
If the corresponding side lengths of two triangles are propor…
Reciprocal Property
If two ratios are equal, then their reciprocals are also equal
perimeters of similar polygons
if two polygons are similar, them the ratio of their perimete…
14 terms
Geometry Chapter 7 - Similarity
ratio
proportion
means of a proportion
extremes of a proportion
is a comparison of two numbers and can be written in three di…
An equation stating that two ratios are equal
In the proportion a/b = c/d, b and c are the means
In the proportion a/b = c/d, a and d are the extremes
ratio
is a comparison of two numbers and can be written in three di…
proportion
An equation stating that two ratios are equal
22 terms
Geometry - Chapter 7 - Similarity
Ratio
Proportion
Extremes
Means
The comparison of two quantities by division. (7-1)
An equation that equates two ratios. (7-1)
The first and last term of a proportion. (7-1)
The inner terms of a proportion. (7-1)
Ratio
The comparison of two quantities by division. (7-1)
Proportion
An equation that equates two ratios. (7-1)
18 terms
Chapter 6 - Similarity
Proportion
What values are the extremes and means?
Cross product property
Geometric mean
Equation states 2 ratios are equal
a & d extremes whereas c & b are means
product extremes = product means
x = square root ab and a/x = x/b
Proportion
Equation states 2 ratios are equal
What values are the extremes and means?
a & d extremes whereas c & b are means
13 terms
Chapter 7 Similarity Geometry
Ratio
Proportion
Extremes
Means
Compares two numbers by division
Is an equation stating that two ratios are equal
the values a and d,
the values b and c, in the proportion a/b=c/d
Ratio
Compares two numbers by division
Proportion
Is an equation stating that two ratios are equal
9 terms
Geometry Chapter 7: Similarity Vocabulary
7.1 similar (∼)
7.1 similar polygons
7.1 similarity ratio
7.2 similarity transformation
figures that have the same shape but not necessarily the same…
two polygons with corresponding angles that are congruent and…
the ratio of the lengths of the corresponding sides of two si…
a dilation or a composite of one or more dilations and one or…
7.1 similar (∼)
figures that have the same shape but not necessarily the same…
7.1 similar polygons
two polygons with corresponding angles that are congruent and…
28 terms
Geometry Chapter 8- Similarity
If a and b are two quantities that are…
The symbol for similarity is
an equation that equates to ratios
The product of the extremes equals the…
ratio, ratio
~
proportion
cross product property
If a and b are two quantities that are…
ratio, ratio
The symbol for similarity is
~
14 terms
Geometry Chapter 8: Similarity
Ratio
Extended Ratio
Proportion
Scale Drawings
A comparison of two or more quantities written as a/b, a:b, o…
A comparison of three or more quantities written as a:b:c or…
An equation stating that two ratios are equal.
A drawing that shows a real object with accurate proportions…
Ratio
A comparison of two or more quantities written as a/b, a:b, o…
Extended Ratio
A comparison of three or more quantities written as a:b:c or…
20 terms
Geometry-Chapter 7- Similarity
Distance Formula
Midpoint Formula
Golden Ratio
Golden Rectangle
√(x₁-x₂)² + (y₁-y₂)²
(x₁+x₂÷2, y₁+y₂÷2)
1.618 : 1
a rectangle that can be divided into a square and rectangle s…
Distance Formula
√(x₁-x₂)² + (y₁-y₂)²
Midpoint Formula
(x₁+x₂÷2, y₁+y₂÷2)
11 terms
Geometry-Chapter 7-Similarity
ratio
similar figures
symbol for similarity
similar polygons
a comparison of 2 quantities by division
they have the same shape but not the same size
~
2 polygons are similar polygons if corresponding angles are c…
ratio
a comparison of 2 quantities by division
similar figures
they have the same shape but not the same size
Geometry: chapter 7- similarity
ratio
extended ratio
proportion
extremes
a comparison of two quantities by division
compares three or more numbers
an equation that states two ratios are equal
the first and last numbers in a proportion
ratio
a comparison of two quantities by division
extended ratio
compares three or more numbers
10 terms
Chapter 7 Geometry Similarity & Trigonometry Vocabulary
Sine
Cosine
Tangent
Adjacent Leg
= Opposite / Hypotenuse
is adjacent next to the theta angle
Sine
= Opposite / Hypotenuse
Cosine
32 terms
Grade 10 Geometry Chapter 7 Proportions and Similarity
Ratio
Extended Ratios
Proportion
Extremes and Means
A comparison of two quantities using division.... Ex. a:b
Used to compare three or more quantities.... Ex. a:b:c
An equation stating that two ratios are equal.
Ratio
A comparison of two quantities using division.... Ex. a:b
Extended Ratios
Used to compare three or more quantities.... Ex. a:b:c
8 terms
Geometry: Chapter 11: Similarity
What makes polygons similar?
Geometric Mean
Name the 4 Triplets.
What are the three ways to prove simil…
corresponding angles & proportional sides
between a and b is square root of ab. (square root of their p…
(3,4,5), (8,15,17), (5,12,13), (7,24,25)
AA similarity, SSS similarity, SAS similarity
What makes polygons similar?
corresponding angles & proportional sides
Geometric Mean
between a and b is square root of ab. (square root of their p…
38 terms
Geometry Chapter 6 Vocabulary
Quadrilateral
Triangle
Pentagon
Hexagon
A four sided polygon
a three sided polygon
a five sided polygon
a six sided polygon
Quadrilateral
A four sided polygon
Triangle
a three sided polygon
10 terms
Geometry Chapter 7 Similarity
Similar
Similar polygons
Similarity ratio
Similarity transformation
Two figures are similar if they have the same shape but not n…
ow polygons whose corresponding angles are congruent ad whose…
the ratio of two corresponding linear measurements in a pair…
A transformation that produces similar figures.
Similar
Two figures are similar if they have the same shape but not n…
Similar polygons
ow polygons whose corresponding angles are congruent ad whose…
9 terms
Geometry-Chapter 7- Similarity
dilation
similar
similarity ratio
indirect measurement
A transformation that changes the size of a figure but not it…
Same shape, corresponding angles are equal, corresponding sid…
The ratio of the lengths of corresponding sides is the simila…
A method of measuring an object by using formulas, similar fi…
dilation
A transformation that changes the size of a figure but not it…
similar
Same shape, corresponding angles are equal, corresponding sid…
24 terms
Geometry Chapter 7 - Similarity
ratio
extended ratio
proportion
extremes
comparison of two quantities by division
compares three or more numbers
an equation that states that two ratios are equal
first and last numbers in a proportion; top left and bottom r…
ratio
comparison of two quantities by division
extended ratio
compares three or more numbers
5 terms
Chapter 6 Similarity Statements
AA Similarity Postulate
SAS Similarity Postulate
SSS Similarity Postulate
Triangle Proportionality Theorem
If two angles of one triangle are congruent to two angles of…
If an angle of one triangle is congruent to an angle of a sec…
If the corresponding sides of two triangles are proportional,…
If a line is parallel to one side of a triangle and intersect…
AA Similarity Postulate
If two angles of one triangle are congruent to two angles of…
SAS Similarity Postulate
If an angle of one triangle is congruent to an angle of a sec…
12 terms
Geometry Chapter 7 - Similarity
ratio
extended ratio
proportion
extremes
comparison of two quantities by division
compares three or more numbers
an equation that states that two ratios are equal
the first and last numbers in a proportion
ratio
comparison of two quantities by division
extended ratio
compares three or more numbers
27 terms
Geometry Chapter 8 Similarity
a:b = c:d which is means and which is…
geometric mean
golden ratio or golden mean
def similar
means: b and c... extremes: a and d
a/x = x/d ad = x^2
...
- corr angles are congruent... - lengths of corr sides are propo…
a:b = c:d which is means and which is…
means: b and c... extremes: a and d
geometric mean
a/x = x/d ad = x^2
18 terms
Geometry Chapter 11 - Similarity
Similar (11.1)
Dilation (11.1)
Scale Factor (11.1)
Dilation Similarity Conjecture (11.1)
Identical in shape but not necessarily in size. Two figures a…
A non-rigid transformation that enlarges or reduces a geometr…
The ratio of corresponding lengths in similar figures.
If one polygon is a dilated image of another polygon, then th…
Similar (11.1)
Identical in shape but not necessarily in size. Two figures a…
Dilation (11.1)
A non-rigid transformation that enlarges or reduces a geometr…
10 terms
Geometry Chapter 7 Similarity
Similar
similar polygons
similarity ratio
angle angle similarity theorem
Two figures that have the same shape, but not necessarily the…
Two polygons whose corresponding angles are congruent and who…
The ratio of two corresponding linear measurements in a pair…
If two angles of one triangle are congruent to two angles of…
Similar
Two figures that have the same shape, but not necessarily the…
similar polygons
Two polygons whose corresponding angles are congruent and who…
12 terms
Geometry Chapter 7: Similarity
Corresponding Parts of Similar ∼Polygons
Corresponding Lengths in Similar ∼Poly…
Theorem 8.1: Perimeters of Similar ∼Po…
Theorem 8.2: Areas of Similar ∼Polygons
Corresponding angles of similar polygons are congruent and co…
If two polygons are similar, then the ratio of any two corres…
If two polygons are similar, then the ratio of their perimete…
If two polygons are similar, then the ratio of their areas is…
Corresponding Parts of Similar ∼Polygons
Corresponding angles of similar polygons are congruent and co…
Corresponding Lengths in Similar ∼Poly…
If two polygons are similar, then the ratio of any two corres…
Similarity (Geometry) Chapter 7
Cross-Product Property
Ratio
Proportion
scale-drawing
The product of the extremes is equal to the product of the me…
is a comparison of two quantities
is a statement that two ratios are equal
the SCALE compares each length in the drawing to the actual l…
Cross-Product Property
The product of the extremes is equal to the product of the me…
Ratio
is a comparison of two quantities
17 terms
Geometry Chapter 12: SIMILARITY
similarity
similar figures
proportion
property of proportions
two geometric figures are similar if they have the exact same…
figures whose corresponding angles are congruent and correspo…
two ratios [fractions] that are equal ... Given: (x/y)=(a/b) the…
Given: (AB/CD)=(BD/AC) , then ABxAC=BDxCD or (AB/BD)=(CD/AC )…
similarity
two geometric figures are similar if they have the exact same…
similar figures
figures whose corresponding angles are congruent and correspo…
13 terms
Geometry Chapter 8: Similarity
Corresponding Parts of Similar ∼Polygons
Corresponding Lengths in Similar ∼Poly…
Theorem 8.1: Perimeters of Similar ∼Po…
Theorem 8.2: Areas of Similar ∼Polygons
Corresponding angles of similar polygons are congruent and co…
If two polygons are similar, then the ratio of any two corres…
If two polygons are similar, then the ratio of their perimete…
If two polygons are similar, then the ratio of their areas is…
Corresponding Parts of Similar ∼Polygons
Corresponding angles of similar polygons are congruent and co…
Corresponding Lengths in Similar ∼Poly…
If two polygons are similar, then the ratio of any two corres…
10 terms
Chapter 7 Similarity ( Geometry)
Similar
Similar Polygons
Similarity Ratio
Similarity Transformation
have the same shape but not necessarily the same size
Polygons that have the same shape, but not necessarily the sa…
the ratio of the lengths of corresponding sides
dilation or a composite of one or more dilations and one or m…
Similar
have the same shape but not necessarily the same size
Similar Polygons
Polygons that have the same shape, but not necessarily the sa…
8 terms
Geometry Chapter 10 Similarity
what is a ratio
Proportion
Geometric means
a/b=c/d
a comparison of 2 numbers. ... Ex: a:b, a/b, a to b
An equation that sets 2 ratios equal. ... Ex: a/b = c/d... b,c are…
a proportion where the means are the same.... Ex: a/b=b/d
ad=bc... a/c=b/d... b/a=d/c... a+b/b=c+d/d
what is a ratio
a comparison of 2 numbers. ... Ex: a:b, a/b, a to b
Proportion
An equation that sets 2 ratios equal. ... Ex: a/b = c/d... b,c are…
14 terms
Geometry chapter 7 similarity vocab
Properties of proportions
Similar figures
Similar polygons
Extended proportion
(1) a/b=c/d is = to b/a=d/c... (2) a/b=c/d is = to a/c=b/d... (3) a…
Have the same shape but not necessarily the same sides
If corresponding angles are congruent and if the length of co…
When 3 or more raitos set equal to eachother
Properties of proportions
(1) a/b=c/d is = to b/a=d/c... (2) a/b=c/d is = to a/c=b/d... (3) a…
Similar figures
Have the same shape but not necessarily the same sides
8 terms
Geometry (4.4-4.6) Congruence and Similarity
congruent figures
congruence transformation
dilation
scale factor
same size and shape; can be mapped onto each other with a ser…
rigid motion
a transformation where a figure is mapped onto itself with en…
the ratio of the corresponding sides in a dilation
congruent figures
same size and shape; can be mapped onto each other with a ser…
congruence transformation
rigid motion
22 terms
Geometry Chapter 6
Diagonal
Triangle
Quadrilateral
Pentagon
In a polygon, a segment that connects nonconsecutive vertices…
A three sided polygon.
A four sided polygon.
A five sided polygon.
Diagonal
In a polygon, a segment that connects nonconsecutive vertices…
Triangle
A three sided polygon.
10 terms
Geometry chapter 6
base angles of a trapezoid
consecutive angles
isosceles trapezoid
kite
each pair of adjacent angles to a base
share a common side
whose nonparallel opposite sides are congruent.
is a quadrilateral with two pairs of congruent adjacent sides…
base angles of a trapezoid
each pair of adjacent angles to a base
consecutive angles
share a common side
25 terms
Geometry Chapter 7 Test (Similarity)
Ratio
Extended Ratio
Proportion
Extremes
A comparison of two quantities by division ... a/b, a:b, a to b…
A comparison of three numbers. There are three ratios in an _…
An equation that states that two ratios are equal.
The numerator of the first ratio in a proportion and the deno…
Ratio
A comparison of two quantities by division ... a/b, a:b, a to b…
Extended Ratio
A comparison of three numbers. There are three ratios in an _…
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