#### 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

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…

center of dilation

dilation

enlargement

extremes

in a dilation, the fixed point about which a figure is enlarg…

a transformation that stretches or shrinks a figure to create…

dilation with a scale factor greater than 1

the first and last term of a proportion

center of dilation

in a dilation, the fixed point about which a figure is enlarg…

dilation

a transformation that stretches or shrinks a figure to create…

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…

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…

Definition of Similar Figures

Scale Factor

AA similarity

SAS Similarity Theorem

Two figures are similar if: ... (1) Their corresponding angles…

the ratio of the lengths of two corresponding sides

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

If an angle of one triangle is congruent to an angle of anoth…

Definition of Similar Figures

Two figures are similar if: ... (1) Their corresponding angles…

Scale Factor

the ratio of the lengths of two corresponding sides

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…

Angle-Angle Similarity Postulate (AA~)

Side-Angle-Side Similarity (SAS~) Theo…

Side-Side Side Similarity Theorem (SSS~)

Angle-Angle Similarity Postulate (AA~)

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,…

Angle-Angle Similarity Postulate (AA~)

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

Side-Angle-Side Similarity (SAS~) Theo…

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

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

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

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

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

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…