# Study sets matching "geometry chapter 6 similarity"

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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

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 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…

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

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.…

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

similar

scale factor

dilation

AA similarity postulate

same shape, different size

the ratio of the lengths of two corresponding sides

a transformation that preserves angle measure and results in a…

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

similar

same shape, different size

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

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

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…

Ratios

Proportions

Geometric Mean

Altitude Rule Right Triangle

An order pair of numbers, proportions... compare one part of the…

An equation stating that two ratios are equal.

For any positive numbers a and b, the positive number x such t…

The Geometric Mean is the altitude of a right triangle

Ratios

An order pair of numbers, proportions... compare one part of the…

Proportions

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…

Ratio

Extended ratios

Proportions

Cross product property

A comparison of two quantities using division

Used to complete 3 or more quantities a:b:c

Equation stating two ratios are equal

The product of the extremes equals the product of the means ... A…

Ratio

A comparison of two quantities using division

Extended ratios

Used to complete 3 or more quantities a:b:c

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

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

means

extremes

A comparison if two numbers using division.

An equation that states that two ratios are equal.

middle terms of the proportion

First and last numbers in a proportion.

ratio

A comparison if two numbers using division.

proportion

An equation that states that two ratios are equal.

Equilateral Polygon

Equiangular Polygon

Regular Polygon

Parallelogram

a polygon in which all sides are congruent

a polygon in which all angles are congruent

a polygon with all sides and all angles equal

A quadrilateral with two pairs of parallel sides

Equilateral Polygon

a polygon in which all sides are congruent

Equiangular Polygon

a polygon in which all angles are congruent

Regular Polygon

Parallelogram

Rectangle

Rhombus

a polygon with all sides and all angles equal

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

A parallelogram with four equal sides

Regular Polygon

a polygon with all sides and all angles equal

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

polygon

sides

vertex

convex

a plane figure formed by three or more segments, called sides,…

segments that form a polygon

the endpoint of a side of a polygon

a polygon, if not line that contains a side of the polygon con…

polygon

a plane figure formed by three or more segments, called sides,…

sides

segments that form a polygon