# Study sets matching "geometry chapter 7 similar polygons"

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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

Yes, SAS

8

x=20

12.5

Determine whether the pair of triangles is similar. Justify yo…

Solve for x and find the measure of AE

Find x so that GJ is parallel to FK if GF=12, HG=6, HJ=8, and…

Find the perimeter of triangle WZX if it is similar to SRT giv…

Yes, SAS

Determine whether the pair of triangles is similar. Justify yo…

8

Solve for x and find the measure of AE

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

proportion

extended proportion

extremes

the quotient when the first number is divided by the second nu…

an equation stating that two ratios are equal

three or more equal proportions

the first and last terms of a proportion

ratio

the quotient when the first number is divided by the second nu…

proportion

an equation stating that two ratios are equal

ratio

proportion

extremes of a proportion

means of a proportion

a comparison of two numbers by division, 1st# divided by the 2…

an equation that states that two ratios are equal. ex: a/b=c/d…

the first and last terms of a proportion

the middle terms of a proportion... ex: A:b=c:D, capitals=extremes

ratio

a comparison of two numbers by division, 1st# divided by the 2…

proportion

an equation that states that two ratios are equal. ex: a/b=c/d…

ratio

proportion

extremes of a proportion

means of a proportion

a comparison of two numbers by division, 1st# divided by the 2…

an equation that states that two ratios are equal. ex: a/b=c/d…

the first and last terms of a proportion

the middle terms of a proportion... ex: A:b=c:D, capitals=extremes

ratio

a comparison of two numbers by division, 1st# divided by the 2…

proportion

an equation that states that two ratios are equal. ex: a/b=c/d…

Postulate 15 - AA Similarity Postulate

Theorem 7-1 : SAS Similarity Theorem

Theorem 7-2: SSS Similarity Theorem

Theorem 7-3: Triangle Proportionality T…

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…

If the sides of two triangles are in proportion, then the tria…

If a line parallel to one side of a triangle intersects the ot…

Postulate 15 - AA Similarity Postulate

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

Theorem 7-1 : SAS Similarity Theorem

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

What is the ratio of one number to anot…

What is a proportion?

What are extremes?

What are means?

the quotient when the first number is divided by the second, u…

an equation stating that two ratios are equal

the first and last terms of a proportions

the middle terms of a proportion

What is the ratio of one number to anot…

the quotient when the first number is divided by the second, u…

What is a proportion?

an equation stating that two ratios are equal

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

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

proportion

extended proportion

extremes

the quotient when the first number is divided by the second nu…

an equation stating that two ratios are equal... Ex: a/b = c/d an…

three or more equal proportions... Ex: a/b = c/d = e/f

the first and last terms of a proportion... Ex: a/b = c/d ... a and…

ratio

the quotient when the first number is divided by the second nu…

proportion

an equation stating that two ratios are equal... Ex: a/b = c/d an…

Product of means=

If a/b = c/d then...

Triangles can be proved similar by...

Midline Theorem:

product of extremes

ad=bc, a/c= b/d, a+b/b = c+d/d

AA~, SAS~, SSS~

If M is the midpoint of AB and N is the midpoint of AC, then M…

Product of means=

product of extremes

If a/b = c/d then...

ad=bc, a/c= b/d, a+b/b = c+d/d

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

Ratio

Proportion

Extended proportion

Means extreme property

Comparing two numbers by division in simplest form and same un…

Equation stating 2 ratios are =

3 or more ratios =

Product of means = product of extremes

Ratio

Comparing two numbers by division in simplest form and same un…

Proportion

Equation stating 2 ratios are =

ratio

proportion

to find the ratio of 2 segments, the se…

a/b = c/d is equivalent to:

quotient when a number is divided by another

equation stating two ratios equal

must be measured in terms of same unit

ad = bc... a/c =b/d... b/a = d/c... a+b/b = c+d/d

ratio

quotient when a number is divided by another

proportion

equation stating two ratios equal

Ratio

Ratio Forms

Proportion

Properties of Proportions

one number to another is the quotient when the first number is…

a to b ; a/b ; a:b

an equation stating that two ratios are equal.

used to change proportions into equivalent equations; the prod…

Ratio

one number to another is the quotient when the first number is…

Ratio Forms

a to b ; a/b ; a:b

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

proportion

means-extremes property (cross-product…

proportion properties

a comparison of 2 values... r/s, where s not = 0 (a:b)

a statement that 2 ratios are equal... a/b=c/d (a:b=c:d)

given a/b=c/d:... ad=bc

given a/b=c/d:... ad=bc, a/c=b/d, b/a=d/c, a+b/b=c+d/d... given a/b…

ratio

a comparison of 2 values... r/s, where s not = 0 (a:b)

proportion

a statement that 2 ratios are equal... a/b=c/d (a:b=c:d)

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

means-extremes property of proportions

1. Corresponding angles are congruent…

scale factor

the same

The product of the means equals the product of the extremes

2 polygons are similar if their vertices can be paired so that…

The ratio of the lengths of 2 corresponding sides of similar p…

The ratio of the perimeters of similar polygons and the scale…

means-extremes property of proportions

The product of the means equals the product of the extremes

1. Corresponding angles are congruent…

2 polygons are similar if their vertices can be paired so that…

scale factor

AA Similarity Postulate

the triangles are congruent

SAS Similarity Theorem

In polygons that are similar, the ratio of the lengths of two…

IF two angles of one triangle are congruent to tow angles of a…

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…

scale factor

In polygons that are similar, the ratio of the lengths of two…

AA Similarity Postulate

IF two angles of one triangle are congruent to tow angles of a…

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