# Study sets matching "math geometry chapter 8"

Study sets

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Geometry

Point

Line

Plane

the study of shapes formed by points in a plane or space

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

Geometry

the study of shapes formed by points in a plane or space

Point

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

Point

Line

Plane

Collinear

A point is a location with no size or shape.

A line is made up of points with no thickness or width.

A plane is flat surface made up of points and extends indefini…

Points that lie on the same line.

Point

A point is a location with no size or shape.

Line

A line is made up of points with no thickness or width.

Pythagorean Theorem

Pythagorean Triple

Converse of the Pythagorean Theorem

Theorem 8-3

If a triangle is a right triangle, then the sum of the squares…

A set of nonzero whole numbers a, b, and c that satisfy the eq…

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

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

Pythagorean Theorem

If a triangle is a right triangle, then the sum of the squares…

Pythagorean Triple

A set of nonzero whole numbers a, b, and c that satisfy the eq…

Adjacent angles

Angle

Complementary angle

Congruent angles

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

A figure formed by two rays with a common endpoint called the…

Two angles whose measures add to 90 degrees

Angles that have the same measure

Adjacent angles

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

Angle

A figure formed by two rays with a common endpoint called the…

acute triangle

equilateral triangle

isosceles triangle

right triangle

A triangle with all 3 angles being acute, each measuring less…

A triangle with all 3 sides of equal length.

A triangle with 2 sides of equal length.

A triangle with 1 right angle.

acute triangle

A triangle with all 3 angles being acute, each measuring less…

equilateral triangle

A triangle with all 3 sides of equal length.

Adjacent angle

Angle

Complementary angle

Congruent angle

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

A figure formed by two rays with a common endpoint called the…

Two angles whose measures add to 90 degrees

Angles that have the same measure

Adjacent angle

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

Angle

A figure formed by two rays with a common endpoint called the…

acute angle

adjacent angles

adjacent sides

congruent

An angle measuring greater than 0 degrees and less than 90 deg…

Two angles are adjacent when they have a common side and a com…

Two of the sides that meet at a vertex of a polygon.

Same size and same shape.

acute angle

An angle measuring greater than 0 degrees and less than 90 deg…

adjacent angles

Two angles are adjacent when they have a common side and a com…

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 to…

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.

corresponding parts of similar polygons

corresponding lengths in similar polygo…

perimeters of similar polygons

areas of similar polygons

a similarity transformation preserves angle measure. It also e…

if two polygons are similar, then the ratio of any two corresp…

if two polygons are similar, then the ratio of their perimeter…

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

corresponding parts of similar polygons

a similarity transformation preserves angle measure. It also e…

corresponding lengths in similar polygo…

if two polygons are similar, then the ratio of any two corresp…

concave

convex

isosceles trapezoid

kite

A polygon where part of the diagonal is in the exterior

A polygon where the entire diagonal is in the interior

Trapezoid where the legs are congruent

Quadrilateral with exactly two pairs of consecutive sides

concave

A polygon where part of the diagonal is in the exterior

convex

A polygon where the entire diagonal is in the interior

A right triangle where the length of th…

A right triangle where the length of th…

The angle formed by a horizontal line a…

The angle formed by a horizontal line a…

30-60-90 Triangle

45-45-90 Triangle

Angle of Depression

Angle of Elevation

A right triangle where the length of th…

30-60-90 Triangle

A right triangle where the length of th…

45-45-90 Triangle

base angle

bases

consecutive

diagonals

each trapezoid has two pairs of ______

parallel sides of a trapezoid

sides of a polygon that share a vertex

a segment joining two non consecutive vertices of a polygon

base angle

each trapezoid has two pairs of ______

bases

parallel sides of a trapezoid

Quadratic formula

altitude of a tight triangle to a hypot…

Geometric mean beetween 2 numbers=

c^2 > A^2 + B^2

divide the triangle into 3 congruent triangles

Product of 2 numbers then square root it

Obtuse

Quadratic formula

altitude of a tight triangle to a hypot…

divide the triangle into 3 congruent triangles

Point

Line

Segment

Ray

A location in space with no size.

A series of points that extends in two opposite directions wit…

Has two endpoints and all the points of the line between the e…

Consists of one endpoint and all the points of a line on one s…

Point

A location in space with no size.

Line

A series of points that extends in two opposite directions wit…

adjacent angle

angle

complementary angle

congruent angle

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

A figure formed by two rays with a common endpoint called the…

Two angles whose measures add to 90 degrees

Angles that have the same measure

adjacent angle

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

angle

A figure formed by two rays with a common endpoint called the…

Pythagorean Theorem

Converse of the Pythagorean Theorem

45-45-90 Triangle Theorem

30-60-90 Triangle Theorem

If a triangle is a right triangle, then the sum of the squares…

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

In a 45-45-90 triangle, the legs are congruent and the length…

In a 30-60-90 triangle, the length of the hypotenuse is twice…

Pythagorean Theorem

If a triangle is a right triangle, then the sum of the squares…

Converse of the Pythagorean Theorem

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

radius (regular polygon)

polygon

remote interior angles

linear scale factor

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

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

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

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

radius (regular polygon)

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

polygon

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

Opp. Sides are ||

Opp. Sides are congruent

Opp. Angles are congruent

A diagonal form two congruent triangles

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Opp. Sides are ||

Parallelogram, rectangle, rhombus, square

Opp. Sides are congruent

Parallelogram, rectangle, rhombus, square

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 witho…

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

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

point

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

line

series of points that extends in two opposite directions witho…

Geometric mean

Pythagorean triple

Trigonometry

Trigonometric ratio

The positive square root of the product of 2 numbers

A set of three nonzero whole numbers a,b, and c such that sum…

Invovles triangle measure

the ratio of the length of two sides of a right triangle

Geometric mean

The positive square root of the product of 2 numbers

Pythagorean triple

A set of three nonzero whole numbers a,b, and c such that sum…

A parallelogram is a quadrilateral in w…

A diagonal divides a parallelogram into…

Opposite sides of a parallelogram are...

Opposite angles of a parallelogram are.…

two pairs of opposite sides are parallel.

two congruent triangles.

congruent.

congruent.

A parallelogram is a quadrilateral in w…

two pairs of opposite sides are parallel.

A diagonal divides a parallelogram into…

two congruent triangles.

Characteristics of a PARALLELOGRAM

Characteristics of a RHOMBUS

Characteristics of a RECTANGLE

Characteristics of a SQUARE

- Opp. sides are II... *Opp. sides are ≅... *Consec. angles are supp…

- It's a parallelogram... - All 4 sides are ≅... *Diagonals are ⟂, b…

- It's a parallelogram... - All 4 angles are RIGHT angles... *Diagon…

- It's a parallelogram, rhombus, AND rectangle... *Therefore, dia…

Characteristics of a PARALLELOGRAM

- Opp. sides are II... *Opp. sides are ≅... *Consec. angles are supp…

Characteristics of a RHOMBUS

- It's a parallelogram... - All 4 sides are ≅... *Diagonals are ⟂, b…

Area of a parallelogram

Area's of other figures

Area of a triangle

Area of a circle

Base Times Height

(Base one + Base two) Times Height Divided by 2

Base Times Height Divided by two

3.14 times Radius squared

Area of a parallelogram

Base Times Height

Area's of other figures

(Base one + Base two) Times Height Divided by 2