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Area

Compose

Cone

Cube

The area of a figure is the number of square units it encloses.

To compose two geometric figures, you join them together to m…

A cone is a three-dimensional figure with one circular base a…

A cube is a rectangular prism whose faces are all squares.

Area

The area of a figure is the number of square units it encloses.

Compose

To compose two geometric figures, you join them together to m…

Perimeters of Similar Polygons

Areas of Similar Polygons

Angle-Angle (AA) Similarity Theorem

Side-Side-Side (SSS) Similarity Theorem

If two polygons are similar, then the ratio of their perimete…

If two polygons are similar, then the ratio of their areas is…

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

If the corresponding side lengths of... two triangles are propor…

Perimeters of Similar Polygons

If two polygons are similar, then the ratio of their perimete…

Areas of Similar Polygons

If two polygons are similar, then the ratio of their areas is…

Parallel Lines

Perpendicular Lines

Line Segment

Bisect

Lines that are always the same distance apart. They do not in…

Two lines that intersect to form right angles

A part of a line with two endpoints

To divide into two equal parts

Parallel Lines

Lines that are always the same distance apart. They do not in…

Perpendicular Lines

Two lines that intersect to form right angles

point

line

plane

ray

a location in space with no length, width, or thickness

a set of points along a straight path with no endpoints

a flat surface that extends endlessly in all directions

part of a line extending endlessly in one direction from one…

point

a location in space with no length, width, or thickness

line

a set of points along a straight path with no endpoints

point

line

segment

ray

a location in space... has no size... named with a captial letter

series of points that extends in two opposite directions with…

consists of two endpoints and all the points in the line betw…

consists of one endpoint and all the points on the line on on…

point

a location in space... has no size... named with a captial letter

line

series of points that extends in two opposite directions with…

point

line

segment

ray

a location in space... has no size... named with a captial letter

series of points that extends in two opposite directions with…

consists of two endpoints and all the points in the line betw…

consists of one endpoint and all the points on the line on on…

point

a location in space... has no size... named with a captial letter

line

series of points that extends in two opposite directions with…

Congruent

Vertical Angles

Adjacent Angles

Complementary Angles

Angles with the same measure

Formed by 2 intersecting lines, they are congruent

Side by side angles

2 angles whose sum is exactly 90 degrees

Congruent

Angles with the same measure

Vertical Angles

Formed by 2 intersecting lines, they are congruent

parallelogram

characteristics of parallelogram

rhombus

characteristics of rhombus

quad w/ both pairs of opposite sides parallel

opposites sides parallel and congruent, (opposite angles cong…

four congruent sides

opposite sides congruent and parallel, diagonals are perpendi…

parallelogram

quad w/ both pairs of opposite sides parallel

characteristics of parallelogram

opposites sides parallel and congruent, (opposite angles cong…

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon…

a two-dimensional closed figure of three or more line segment…

when a triangle has an exterior angles, these angles are the…

the ratio of similarity. the ratio of any pair of correspondi…

radius (regular polygon)

a line segment that connects the center of a regular polygon…

polygon

a two-dimensional closed figure of three or more line segment…

net

area

volume

surface area

an arrangement of two-dimensional figures that can be folded…

the number of square units needed to cover a given surface

the number of cubic units needed to fill a given space

the sum of the areas of the faces, or surfaces, of a three-di…

net

an arrangement of two-dimensional figures that can be folded…

area

the number of square units needed to cover a given surface

Something that is congruent is...

What are vertical angles

Complementary angles

Supplementary angles

The same size & shape

Opposit each other when2 lines intersect. They have the same…

2 angles that sum 90 degrees

2 angles that sum 180 degrees

Something that is congruent is...

The same size & shape

What are vertical angles

Opposit each other when2 lines intersect. They have the same…

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon…

a two-dimensional closed figure of three or more line segment…

when a triangle has an exterior angles, these angles are the…

the ratio of similarity. the ratio of any pair of correspondi…

radius (regular polygon)

a line segment that connects the center of a regular polygon…

polygon

a two-dimensional closed figure of three or more line segment…

Perimeter

Circumference (C)

Area (A)

Rectangle for Area

Distance around the Polygon = Sum of Lengths of the sides. Un…

Distance around a circle. Units are regular. ... C = 3.14 or 22/…

The amount of Surface of a region. Area is always measured in…

Length (L) x Width (W)

Perimeter

Distance around the Polygon = Sum of Lengths of the sides. Un…

Circumference (C)

Distance around a circle. Units are regular. ... C = 3.14 or 22/…

Point

Line

Plane

Line Segment

An exact location; usually represented as a dot

A straight path that extends without end in the opposite dire…

A perfectly flat surface that extends infinitely in all direc…

A part of a line or a ray that extends from one endpoint to a…

Point

An exact location; usually represented as a dot

Line

A straight path that extends without end in the opposite dire…

Acute Angle

acute triangle

angle

angle bisector

an angle measuring less than 90 degrees

a triangle with 3 acute angles

two rays with a common endpoint

a ray that divides an angle into angles of equal measure

Acute Angle

an angle measuring less than 90 degrees

acute triangle

a triangle with 3 acute angles

point

line

line segment

ray

an exact location usually represented as a dot but has no siz…

straight path that has no thickness and extends forever in op…

a part of a line or a ray that extends from one endpoint to a…

a part of a line and has one endpoint in one direction

point

an exact location usually represented as a dot but has no siz…

line

straight path that has no thickness and extends forever in op…

acute angle

acute triangle

adjacent angles

complementary angles

measures greater than 0 but less than 90.

3 acute angles

angles "next to" each other; share a vertex and a side.

two angles that add to 90 degrees

acute angle

measures greater than 0 but less than 90.

acute triangle

3 acute angles

Ratio

Proportion

(Theorem 59) In a proportion, the prod…

Geometric Means

A quotient of two numbers

An equation stating that two or more ratios are equal.

Equal to the product of the extremes.

3/x = x/27... 81 = x (squared)... x = + or - 9

Ratio

A quotient of two numbers

Proportion

An equation stating that two or more ratios are equal.

vertical angles

adjacent angles

parallel lines

skew lines

Angles that have the same measure and are formed opposite eac…

Angles side by side and have a common vertex and ray.

Lines in the same plane that never intersect.

Lines that lie in different planes. Neither parallel nor inte…

vertical angles

Angles that have the same measure and are formed opposite eac…

adjacent angles

Angles side by side and have a common vertex and ray.

Pythagorean Theorem

Pythagorean Triple

Obtuse Triangle

Acute Triangle

A triangle is a right if the sum of the squares of the length…

a set of nonzero whole numbers a, b, and c that make the equa…

The square of the length of the longest side of a triangle is…

The square of the length of the longest side of a triangle is…

Pythagorean Theorem

A triangle is a right if the sum of the squares of the length…

Pythagorean Triple

a set of nonzero whole numbers a, b, and c that make the equa…

center

circle

circumference

composite figure

the point from which all points on circle are same distance

a round plane figure whose boundary consists of points equidi…

the distance around a circle

a figure that is made up of two or more three-dimensional fig…

center

the point from which all points on circle are same distance

circle

a round plane figure whose boundary consists of points equidi…

Area

Perimeter

Regular polygon

Apothem

The amount of defined space of a plane

The distance around a defined space

All sides and angles are congruent

A segment from the center of a polygon that is perpendicular…

Area

The amount of defined space of a plane

Perimeter

The distance around a defined space

perimeter

area

square units

height of a triangle

The sum of the lengths of the sides of a polygon.

A measure of the space covered by a two-dimensional region.

The fundamental region used to tessellate a region in order t…

The length of an altitude of a triangle.

perimeter

The sum of the lengths of the sides of a polygon.

area

A measure of the space covered by a two-dimensional region.

Pythagorean Theorem

Pythagorean Triple

Converse of the Pythagorean Theorem

Theorem 8-3

a² + b² = c²

a set of nonzero whole numbers a, b, and c that make the equa…

If the sum of the squares of the lengths of two sides of a tr…

If the square of the length of the longest side of a triangle…

Pythagorean Theorem

a² + b² = c²

Pythagorean Triple

a set of nonzero whole numbers a, b, and c that make the equa…

ray

line

line segment

intersecting lines

A ray is part of a line that is endless in one directions. It…

A line is a set of point that is endless in both directions.

A line segment is part of a line, it has 2 endpoints.

Intersecting lines cross at one point.

ray

A ray is part of a line that is endless in one directions. It…

line

A line is a set of point that is endless in both directions.

Diagonal

Parallelogram

Rhombus

Rectangle

segment that joins two nonconsecutive vertices

quadrilateral with opposite sides parallel

parallelogram with four congruent sides

parallelogram with four right angles

Diagonal

segment that joins two nonconsecutive vertices

Parallelogram

quadrilateral with opposite sides parallel

center of a circle

circle

circumference

diameter

Point inside a circle that is the same distance from every po…

the set of all points in a plane that are the same distance f…

The distance around a circle

A straight line passing from side to side through the center…

center of a circle

Point inside a circle that is the same distance from every po…

circle

the set of all points in a plane that are the same distance f…

Center of dilation

Congruence transformation

Congruent figures

Dilation

The fixed point in a dilation.

A transformation that preserves length and angle measure.... Tr…

Geometric figures that have the same size and shape.

A transformation in which a figure is enlarged or reduced wit…

Center of dilation

The fixed point in a dilation.

Congruence transformation

A transformation that preserves length and angle measure.... Tr…

Cross Product Property of proportions

Reciprocal property of proportions

Switching Property of proportions

Add property of proportions

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

If 2 ratios are equal then their reciprocals are also equal.…

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

If a/b=c/d, then a+b/b=c+d/d

Cross Product Property of proportions

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

Reciprocal property of proportions

If 2 ratios are equal then their reciprocals are also equal.…

geometric mean

trigonometric ratio

sine

cosine

the _________ ____ of two positive numbers is the positive sq…

ratio of two sides of a right triangle

ratio of the length of the leg opposite to the angle to the l…

ratio of the length of the leg adjacent to the angle to the l…

geometric mean

the _________ ____ of two positive numbers is the positive sq…

trigonometric ratio

ratio of two sides of a right triangle

Convex

Concave

Equilateral

Equiangular

A polygon in which all vertices appear to be pushed outward.…

A polygon where one extended side would enter inside the figu…

A polygon where all sides are congruent.

A polygon where all angles are congruent.

Convex

A polygon in which all vertices appear to be pushed outward.…

Concave

A polygon where one extended side would enter inside the figu…

Perimeters of Similar Polygons

Areas of Similar Polygons

Angle-Angle (AA) Similarity Theorem

Side-Side-Side (SSS) Similarity Theorem

If two polygons are similar, then the ratio of their perimete…

If two polygons are similar, then the ratio of their areas is…

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

If the corresponding side lengths of... two triangles are propor…

Perimeters of Similar Polygons

If two polygons are similar, then the ratio of their perimete…

Areas of Similar Polygons

If two polygons are similar, then the ratio of their areas is…

Transformation

Isometry

Reflection

Translation

is a one-to-one correspondence between two sets of points.

is a transformation that preserves distance and angle measure.

of point P through line l is P itself if P lies on l. Otherwi…

is the composite of two successive reflections through parall…

Transformation

is a one-to-one correspondence between two sets of points.

Isometry

is a transformation that preserves distance and angle measure.

line

line segment

ray

intersecting

a ____ extends forever in both directions

____ has 2 endpoints

a ___ has 1 endpoint and extends forever in one direction

when 2 lines cross paths they are ___

line

a ____ extends forever in both directions

line segment

____ has 2 endpoints

ratio of a to b

proportion

extremes

means

If a and b are two quantities that are measured in the same u…

An equation that equates two ratios is a proportion

In a proportion a/b=c/d, a a and d are the extremes

In the proportion a/b=c/d, b and c are the means

ratio of a to b

If a and b are two quantities that are measured in the same u…

proportion

An equation that equates two ratios is a proportion

Similar Shape

Ratio

Means and Extremes

b/a = d/c

Same shape, different size

A quotient of 2 numbers with the same units.... x:y... x/y... x to y

A proportion equates to 2 ratios

Reciprocal of a/b = c/d

Similar Shape

Same shape, different size

Ratio

A quotient of 2 numbers with the same units.... x:y... x/y... x to y

polygons

side of a polygon

vertex of a polygon

diagonal of a polygon

A plane figure that is formed by three or more segments calle…

one of the segments that form a polygon

the point where two sides of a polygon meet

A segment that joins two nonconsecutive vertices of a polygon

polygons

A plane figure that is formed by three or more segments calle…

side of a polygon

one of the segments that form a polygon

Adjacent angles

Complementary angles

congruent angles

line

Angles in the same plane that have a common vertex, and a com…

Two angles whose measures add to 90 degrees.

Angles that have the same measure.

A straight path that has no thickness and extends forever.

Adjacent angles

Angles in the same plane that have a common vertex, and a com…

Complementary angles

Two angles whose measures add to 90 degrees.

Polygon

Vertex of a polygon

Convex Polygon

Concave Polygon

A plane figure that meets the following two conditions.... 1.) I…

Each endpoint of a side of a polygon.

A polygon such that no line containing a side of the polygon…

A polygon that is not convex.

Polygon

A plane figure that meets the following two conditions.... 1.) I…

Vertex of a polygon

Each endpoint of a side of a polygon.