#### Study sets matching "geometry chapter 6 similarity"

#### Study sets matching "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…

Center of Dilatation

Concentric Circles

Dilation

Proportion

a fixed point which all points are expanded or constructed (d…

two or more circles with the same center

a transformation that changes the size of a figure

two equal rations ... * sides are proportional if the ratio of t…

Center of Dilatation

a fixed point which all points are expanded or constructed (d…

Concentric Circles

two or more circles with the same center

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…

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…

similar polygons

scale factor

dilation

scale factor of a dilation

two or more polygons that have corresponding angles congruent…

the ratio of the lengths of two corresponding sides

a transformation that preserves angle measures and results in…

the ratio of the lengths of the corresponding sides of the im…

similar polygons

two or more polygons that have corresponding angles congruent…

scale factor

the ratio of the lengths of two corresponding sides

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…

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…

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…

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…

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…

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…

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…

Ratio

Proportion

AA Similarity Conjecture

SSS Similarity Conjecture

A comparison of two quantities by division. How much of one t…

An equation stating that two ratios are equal

If two angles of one triangle are congruent to two angles of…

If the three sides of one triangle are proportional to the th…

Ratio

A comparison of two quantities by division. How much of one t…

Proportion

An equation stating that two ratios are equal

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…

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

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

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…

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

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)

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…

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

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…

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…

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

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

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…

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…

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…

Ratio

Proportion

What does Proportionality mean?

Similar polygons

A relationship between two quantities, normally expressed as…

An equation stating that two ratios are equal.

To be proportional it means that if a change occurs in one, i…

Corresponding angles are congruent and their corresponding si…

Ratio

A relationship between two quantities, normally expressed as…

Proportion

An equation stating that two ratios are equal.

The Ratio of a to b.

Using Ratios for the perimeter of a re…

Using Ratio for an area of a rectangle

Using Ratio for angles in a triangle

If a and b are two quantities that are measured in the same u…

length plus width

length times width

length plus length plus width

The Ratio of a to b.

If a and b are two quantities that are measured in the same u…

Using Ratios for the perimeter of a re…

length plus width

The Ratio of a to b.

Proportion (Means and Extremes)

Similar Polygons

Similarity Ratio (Scale Factor)

If a and b are two quantities that are measured in the same u…

A proportion is an equation that equates two ratios.

corresponding angles are congruent; lengths of corresponding…

(scale factor), lengths of two corresponding sides of two sim…

The Ratio of a to b.

If a and b are two quantities that are measured in the same u…

Proportion (Means and Extremes)

A proportion is an equation that equates two ratios.

Similar Polygons

AA

SAS

SSS

If there is a one to one correspondence between vertices such…

If 2 angles of one triangle are congruent to 2 angles of anot…

If one angle of a triangle is congruent to an angle of anothe…

If the lengths of the sides of a triangle are proportional to…

Similar Polygons

If there is a one to one correspondence between vertices such…

AA

If 2 angles of one triangle are congruent to 2 angles of anot…

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

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…

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

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

Angle Angle Postulate

Side Angle Side Theorem

Similar Figures

Similar Polygons

If two angles on one triangle are congruent to two angles of…

If an angle of one triangle is congruent to an angle of a sec…

Same shape, different size

Two polygons are similar if corresponding angles are congruent

Angle Angle Postulate

If two angles on one triangle are congruent to two angles of…

Side Angle Side Theorem

If an angle of one triangle is congruent to an angle of a sec…

Proportion

AA Similarity

SSS Similarity

SAS Similarity

An equation stating that two ratios are equal.

If two angles of one triangle are congruent to two angles of…

If the corresponding side lengths of two triangles are propor…

If an angle of one triangle is congruent to an angle of a sec…

Proportion

An equation stating that two ratios are equal.

AA Similarity

If two angles of one triangle are congruent to two angles of…

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…

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…

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

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…

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…

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 _…

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…