# Study sets matching "geometry chapter 6 similarity"

Similar Polygons

Scale Factor

Two polygons are similar if the corresp…

Two polygons are similar if the corresp…

2 Polygons are similar if corresponding angles are congruent a…

If 2 polygons are similar, then the ratio of the lengths of tw…

Congruent

Similar

Similar Polygons

2 Polygons are similar if corresponding angles are congruent a…

Scale Factor

If 2 polygons are similar, then the ratio of the lengths of tw…

Center of Dilatation

Concentric Circles

Dilation

Proportion

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

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 th…

Center of Dilatation

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

Concentric Circles

two or more circles with the same center

ratio

proportion

cross multiplication

properties of similar polygons

for any two numbers (x and y), it is the quotient you get by d…

an equation stating that two ratios are equal... x:y = a:b

a way to determine a variable in a proportion ... ex: 6:x = 5:15…

- corresponding angles are congruent... - corresponding sides are…

ratio

for any two numbers (x and y), it is the quotient you get by d…

proportion

an equation stating that two ratios are equal... x:y = a:b

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 ima…

similar polygons

two or more polygons that have corresponding angles congruent…

scale factor

the ratio of the lengths of two corresponding sides

center of dilation

dilation

enlargement

extremes

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

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 enlarge…

dilation

a transformation that stretches or shrinks a figure to create…

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and the…

In a proportion, the numerator of the first equation and the d…

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 the…

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

AA Similarity Conjecture

SSS Similarity Conjecture

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

An equation stating that two ratios are equal

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

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

Ratio

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

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 dif…

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 dif…

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 dif…

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 dif…

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 b…

A ratio that describes how the dimensions in the drawing are r…

Two ratios that are equal

A set of polygons where corresponding angles are congruent and…

Scale Drawing

a drawing that is the same shape as the object it represents b…

Scale

A ratio that describes how the dimensions in the drawing are r…

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

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 sat…

a ratio that describes how the dimensions in a scale drawing a…

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 perimeter…

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

If the corresponding side lengths of two triangles are proport…

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 perimeter…

If a and b are two numbers or quantitie…

an equation that states that two ratios…

extremes

means

ratio

proportion

If a and b are two numbers or quantitie…

ratio

an equation that states that two ratios…

proportion

Dilation

Scale factor

Similar polygons

Scale factor of the dilation

a transformation that preserves angle measures and results in…

the ratio of the lengths of two corresponding sides of similar…

polygons whose corresponding angles are congruent and correspo…

the ratio of the lengths of the corresponding sides of the ima…

Dilation

a transformation that preserves angle measures and results in…

Scale factor

the ratio of the lengths of two corresponding sides of similar…

Angle-Angle Similarity Postulate (AA~)

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

Side-Side Side Similarity Theorem (SSS~)

Angle-Angle Similarity Postulate (AA~)

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 a seco…

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 a…

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

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

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

Sine

Cosine

Tangent

Adjacent Leg

The trigonometric function that is equal to the ratio of the s…

The trigonometric function that is equal to the ratio of the s…

The trigonometric function that is equal to the ratio of the o…

Is adjacent to the theta angle.

Sine

The trigonometric function that is equal to the ratio of the s…

Cosine

The trigonometric function that is equal to the ratio of the s…

translation

reflection

rotation

dilation

"Sliding": a transformation that moves a shape without rotatin…

"Flipping": a transformation that creates a mirror image.... The…

"Turning": a transformation that turns the shape around a poin…

"Expanding/Shrinking": a transformation that changes the size…

translation

"Sliding": a transformation that moves a shape without rotatin…

reflection

"Flipping": a transformation that creates a mirror image.... The…

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

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

Alternate rotation

Equivalent

Proportion

comparisons of 2 quantities that are measured in the same units

1:2 (1 to 2)

1/2 (1 over 2)

An equation that equates 2 ratios ... 1/2 = 3/6

ratio

comparisons of 2 quantities that are measured in the same units

Alternate rotation

1:2 (1 to 2)