# Study sets matching "geometry chapter 7 similar polygons"

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Ratio

To find the ratio of the lengths of two…

Proportion

Extremes

The quotient when the first number is divided by the second... -T…

Measured in the same units

An equation stating that two ratios are equal

First & last terms of a proportion

Ratio

The quotient when the first number is divided by the second... -T…

To find the ratio of the lengths of two…

Measured in the same units

acute

angle

bisector

collinear

Angle measuring less than 90°.

A figure formed by 2 rays with a common endpoint.

A line or part of a line that divides a segment or angle into…

Means together on the same line

acute

Angle measuring less than 90°.

angle

A figure formed by 2 rays with a common endpoint.

ratio

quotient is usually expressed in ...

there are ... units in a ratio

to find the ratio of the lengths of two…

the quotient when a number is divided by another

simplest form

NO

the segments must be measured in terms of the same unit

ratio

the quotient when a number is divided by another

quotient is usually expressed in ...

simplest form

Ratio

To find the ratio of the lengths of two…

Proportion

Extremes

The quotient when the first number is divided by the second... -T…

Measured in the same units

An equation stating that two ratios are equal

First & last terms of a proportion

Ratio

The quotient when the first number is divided by the second... -T…

To find the ratio of the lengths of two…

Measured in the same units

Ratio

Proportions

Means extreme property

Similar polygons

One number to another is the quotient where the first number i…

Is an equation stating that two ratios are equal.

The product of the means is equal to the product of extremes.

Two polygons are similar if their vertices can be paired such…

Ratio

One number to another is the quotient where the first number i…

Proportions

Is an equation stating that two ratios are equal.

King Henry Died Unexpectedly Drinking C…

Extremes

Mean

Means-Extremes Property

Kilo Hecto Deca Unit Deci Centi Milli

First and last terms of proportion

Middle terms of proportion

Cross-Multiplying

King Henry Died Unexpectedly Drinking C…

Kilo Hecto Deca Unit Deci Centi Milli

Extremes

First and last terms of proportion

MEPP - Means-Extremes Property of Propo…

Property of Proportions A

Property of Proportions B

Property of Proportions C

the product of the extremes equals the product of the means

a/b=c/d = ad=bc

a/b=c/d = a/c=b/d

a/b=c/d = b/a=d/c

MEPP - Means-Extremes Property of Propo…

the product of the extremes equals the product of the means

Property of Proportions A

a/b=c/d = ad=bc

ratio

proportion

extremes

mean

the quotient when the first number is divided by the second

an equation stating that two ratios are equal

first and last terms in a proportion

middle terms in a proportion

ratio

the quotient when the first number is divided by the second

proportion

an equation stating that two ratios are equal

Proportion

Similar polygons

Conditions that make polygons similar

Proportional

an equation stating that two ratios are equal

figures that have the same shape but different size

1.) Corresponding angles are congruent... 2.) Corresponding sides…

in the same ratio

Proportion

an equation stating that two ratios are equal

Similar polygons

figures that have the same shape but different size

SAS Similarity Theorem. If an angle of…

SSS Similarity Theorem. If the sides of…

Triangle Proportionality Theorem. If a…

If three parallel lines intersect two t…

then the triangles are similar

then the triangles are similar

then it divides those sides proportionally

then they divide the transversals proportionally

SAS Similarity Theorem. If an angle of…

then the triangles are similar

SSS Similarity Theorem. If the sides of…

then the triangles are similar

Ratio

Unit ratio

Proportion

Means and extremes

comparison of two numbers... usually written as a fraction... usuall…

ration where second number is 1... ex. 3:1, 3/1

a/b=c/d... 2 equal ratios

a is to b as c is to d... a:b = c:d... b,c = means... a,d = extremes

Ratio

comparison of two numbers... usually written as a fraction... usuall…

Unit ratio

ration where second number is 1... ex. 3:1, 3/1

ratio

proportion

extremes

means

first number divided by second number in simplest form... used to…

eq stating that two ratios are =

if a/b = c/d, a and d are the extremes

if a/b = c/d, b and c are the means

ratio

first number divided by second number in simplest form... used to…

proportion

eq stating that two ratios are =

Ratio

Extended Ratio

Proportion

Similar Polygons

A comparison between two objects.

A comparison between three or more objects.

A comparison between two ratios.

Two polygons with congruent angles and proportional side lengt…

Ratio

A comparison between two objects.

Extended Ratio

A comparison between three or more objects.

similar polygons

ratio

proportion

circle

polygons with congruent angles and proportional sides

a comparison of two quantities that are measured in the same u…

an equation that equates two ratios

a set of all points equidistant from a given point

similar polygons

polygons with congruent angles and proportional sides

ratio

a comparison of two quantities that are measured in the same u…

Means-extremes Property

A Property of Proportions

AA Similarity Postulate

SAS Similarity Theorem

A reason, use when doing cross multiplication in the statement…

A reason, use when proving 2 proportions equal to one scale fa…

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

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

Means-extremes Property

A reason, use when doing cross multiplication in the statement…

A Property of Proportions

A reason, use when proving 2 proportions equal to one scale fa…

Postulate AAA

Theorem 59 (Page 327)

Theorem 60 (Page 327)

Theorem 61 (Page 334)

If there exists a correspondence between the vertices of two t…

In a proportion, the product of the means is equal to the prod…

If the product of a pair of nonzero numbers is equal to the pr…

The ratio of the perimeters of two similar polygons equals the…

Postulate AAA

If there exists a correspondence between the vertices of two t…

Theorem 59 (Page 327)

In a proportion, the product of the means is equal to the prod…

Cross Products Property

Properties of Proportions - add denomin…

Properties of Proportions - switch extr…

Properties of Proportions - switch means

- The product of the means and also the product of the extreme…

Cross Products Property

- The product of the means and also the product of the extreme…

Properties of Proportions - add denomin…

Definition of Similar Figures

Scale Factor

AA similarity

SAS Similarity Theorem

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

the ratio of the lengths of two corresponding sides

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

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

Definition of Similar Figures

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

Scale Factor

the ratio of the lengths of two corresponding sides

ratio

proportion

similar

scale factor

The ____ of one number to another is the quotient when the fir…

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 fir…

proportion

A _____ is an equation stating that two ratios are equal. (ex.…

Ratio

Proportion

Extremes

A,d

The quotient when the first number is divided by the second. U…

An equation stating that two ratios are equal: a/b = c/d

First and last terms in a proportion (a,d)

The extremes are

Ratio

The quotient when the first number is divided by the second. U…

Proportion

An equation stating that two ratios are equal: a/b = c/d

acute

angle

bisector

collinear

Angle measuring less than 90°.

A figure formed by 2 rays with a common endpoint.

A line or part of a line that divides a segment or angle into…

Means together on the same line

acute

Angle measuring less than 90°.

angle

A figure formed by 2 rays with a common endpoint.