#### Study sets matching "geometry 8"

#### Study sets matching "geometry 8"

Perimeter

Area

Perimeter - Square

Area - Square

The sum of the lengths of the sides of a polygon. (P)

The number of square units a polygon encloses. (A)

Side length is s, P=4s

Side length is s, A=s²

Perimeter

The sum of the lengths of the sides of a polygon. (P)

Area

The number of square units a polygon encloses. (A)

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…

SLOPE.... Define.

RATE OF CHANGE... What is a synonym for r…

SLOPE-INTERCEPT FORM... What is the equat…

POINT-SLOPE FORM... What is the equation…

The steepness of a graph line; the ratio of the vertical chan…

slope

SLOPE.... Define.

The steepness of a graph line; the ratio of the vertical chan…

RATE OF CHANGE... What is a synonym for r…

slope

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…

reflection

line of reflection

pre image

image

A transformation that "flips" a figure over a mirror or line.

A line that a figure is flipped across to create a mirror ima…

The original geometric figure

figure after a reflection

reflection

A transformation that "flips" a figure over a mirror or line.

line of reflection

A line that a figure is flipped across to create a mirror ima…

Ratio of a to b

Proportion

Extremes

Means

If a and b are to quantities that are measured in the same un…

An equation that equates two ratios.

In proportion a/b=c/d, they are a and d.

In proportion a/b=c/d, they are b and c.

Ratio of a to b

If a and b are to quantities that are measured in the same un…

Proportion

An equation that equates two ratios.

Geometric Mean

Triangle Hypotenuse Altitude Theorem

Geometric Mean (Altitude) Theorem

Geometric Mean (Leg) Theorem

The positive root of the product of two numbers

If the altitude is drawn to the hypotenuse of a right triangl…

The altitude drawn to the hypotenuse of a right triangle sepa…

The altitude drawn to the hypotenuse of a right triangle sepa…

Geometric Mean

The positive root of the product of two numbers

Triangle Hypotenuse Altitude Theorem

If the altitude is drawn to the hypotenuse of a right triangl…

Diagonal

Endpoint

Midpoint

Distance formula

A line segment that connects two nonconsecutive vertices of a…

A point at the end of a ray, either end of a line segment, or…

The point halfway between the endpoints of a line segment

The formula that gives the distance between two points on a c…

Diagonal

A line segment that connects two nonconsecutive vertices of a…

Endpoint

A point at the end of a ray, either end of a line segment, or…

altitude of a triangle

centroid of a triangle

circumcenter of a triangle

circumscribed circle

a perpendicular segment from a vertex to the line containing…

the point of concurrency of the three medians of a triangle;…

the point of concurrency of the three perpendicular bisectors…

every vertex of the polygon lies on the circle

altitude of a triangle

a perpendicular segment from a vertex to the line containing…

centroid of a triangle

the point of concurrency of the three medians of a triangle;…

Transformation

Translation

Reflection

Dilation

The movement of a geometric figure

A slide of the figure

A transformation that "flips" a figure over a mirror or refle…

A transformation that changes the size of an object, but not…

Transformation

The movement of a geometric figure

Translation

A slide of the figure

space

solid

isometric drawing

net

An undefined term thought of as the set of all points. Space…

A three-dimensional geometric figure that completely encloses…

A drawing of three-dimensional object that shows three faces…

A two-dimensional pattern that can be folded to form a three-…

space

An undefined term thought of as the set of all points. Space…

solid

A three-dimensional geometric figure that completely encloses…

Proportion

proportion 1

proportion 2

proportion 3

setting 2 fractions equal to eachother

setting cross products equal to eachother

rearranging or flipping the fraction and then setting them eq…

making the numerators a fraction and the denominators a fract…

Proportion

setting 2 fractions equal to eachother

proportion 1

setting cross products equal to eachother

equal

nonzero

largest

pythagorean thm:... in a right triangle, the sum of the squares…

pythagorean triple: a set of _____... numbers that satisfy the e…

to simplify (or reduce) a radical:... 1. find the ______ perfect…

equal

pythagorean thm:... in a right triangle, the sum of the squares…

nonzero

pythagorean triple: a set of _____... numbers that satisfy the e…

point

line

line segment

ray

an exact location in space

A set of points that goes on forever in both directions.

Part of a line that has two endpoints.

part of a line that has an endpoint and extends forever in on…

point

an exact location in space

line

A set of points that goes on forever in both directions.

median of a triangle

altitude of a triangle

perpendicular bisector

angle bisector

a segment whose endpoints are a vertex and the midpoint of th…

A perpendicular segment from a vertex to the line containing…

a segment, ray, line, or plane that is perpendicular to a seg…

a ray that divides an angle into two congruent angles

median of a triangle

a segment whose endpoints are a vertex and the midpoint of th…

altitude of a triangle

A perpendicular segment from a vertex to the line containing…

Space

Cone

Cylinder

Pyramid with a square base

the set of all points. Cannot be contained in a flat surface…

Has a circular base and sides that rise to a point.

Has 2 circular bases.

A square base that has sides that meet at a point.

Space

the set of all points. Cannot be contained in a flat surface…

Cone

Has a circular base and sides that rise to a point.

Vertical Angles

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

two angles whose sides form two pairs of opposite rays

Angles that have the same position on two different parallel…

angles between 2 lines and on opposite sides of a transversal

Angles that lay outside the parallel lines and are on opposit…

Vertical Angles

two angles whose sides form two pairs of opposite rays

Corresponding Angles

Angles that have the same position on two different parallel…

adjacent angles

alternate exterior angles

alternate interior angles

supplementary angles

side by side angles that share a common vertex and a ray

angles that lie outside a pair of parallel lines and on oppos…

Angles that lie within a pair of parallel lines and on opposi…

Angles that add to 180 degrees (can be adjacent or non-adjace…

adjacent angles

side by side angles that share a common vertex and a ray

alternate exterior angles

angles that lie outside a pair of parallel lines and on oppos…

Angle

Ray

Complementary Angles

Supplementary Angles

The union of two rays with a common endpoint called the vertex.

Part of a line with one endpoint. It extends indefinitely in…

The sum of two angles is 90 degrees.

The sum of two angles is 180 degrees.

Angle

The union of two rays with a common endpoint called the vertex.

Ray

Part of a line with one endpoint. It extends indefinitely in…

Median Concurrency Conjecture

Centroid Conjecture

Center of Gravity Conjecture

Center of Gravity

The three medians of a triangle are concurrent

The centroid of a triangle divides each median into two parts…

The centroid of a triangle is the center of gravity of the tr…

Balancing point for the triangle

Median Concurrency Conjecture

The three medians of a triangle are concurrent

Centroid Conjecture

The centroid of a triangle divides each median into two parts…

What is a translation?

The image of a polygon

In a polygon rotation, do you have to…

Rigid transformation examples

A movement of all the points in the same direction for the sa…

The new set of points of the polygon after a transformation

No, you can rotate around any location on the plane

Translation, rotation, reflection

What is a translation?

A movement of all the points in the same direction for the sa…

The image of a polygon

The new set of points of the polygon after a transformation

Point

Line

Segment

Ray

a specific location on a coordinate plane.

A straight path that extends without end in opposite directio…

A part of a line between two endpoints.

a straight line extending from a point

Point

a specific location on a coordinate plane.

Line

A straight path that extends without end in opposite directio…

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

Theorem 8.1: Polygon Interior Angles T…

Corollary to Theorem 8.1: Interior Ang…

Theorem 8.2

parallelogram

The sum of the measures of the interior angles of a convex n-…

The sum of the measures of the interior angles of a quadrilat…

The sum of the measures of the exterior angles of a convex po…

a quadrilateral with both pairs of opposite sides parallel

Theorem 8.1: Polygon Interior Angles T…

The sum of the measures of the interior angles of a convex n-…

Corollary to Theorem 8.1: Interior Ang…

The sum of the measures of the interior angles of a quadrilat…

Square

Rectangle

Triangle

Line

A quadrilateral with 4 EQUAL sides and 4 right angles.... Opposi…

A quadrilateral with 4 sides and 4 right angles.... Opposite sid…

A polygon with 3 sides and 3 angles.

A straight path/line that goes without end in both directions.

Square

A quadrilateral with 4 EQUAL sides and 4 right angles.... Opposi…

Rectangle

A quadrilateral with 4 sides and 4 right angles.... Opposite sid…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points is a straight line

If two lines intersect, they intersect at one point

If two points intersect, they intersect at one line

Through any non-collinear points there is a plane

Postulate 1-1

Through any two points is a straight line

Postulate 1-2

If two lines intersect, they intersect at one point

Anocracy

Autocracy

Balance power

Boundary

A country that is not fully democratic/autocratic displays a…

A country that is ran for the interest of the ruler and not f…

A country of roughly=strength between opposing countries/alli…

Invisible line that marks a territory

Anocracy

A country that is not fully democratic/autocratic displays a…

Autocracy

A country that is ran for the interest of the ruler and not f…

angle of depression

angle of elevation

cosine

Pythagorean triple

the angle formed by a horizontal line and the line of site to…

the angle formed by a horizontal line and the line of site to…

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

angle of depression

the angle formed by a horizontal line and the line of site to…

angle of elevation

the angle formed by a horizontal line and the line of site to…

Conjecture

Counterexample

Deductive reasoning

Flowchart Proof

A statement or example that's believed to be true

An example that proves a conjecture or statement is false

The process of using logic to draw conclusions

A style of proof that uses boxes and arrows to show the struc…

Conjecture

A statement or example that's believed to be true

Counterexample

An example that proves a conjecture or statement is false

Area of a plane

Base

Altitude

Height

the measure of the region enclosed by the figure.

any side of a rectangle

any segment from one side of a parallelogram perpendicular to…

length of the side that is perpendicular to the base.

Area of a plane

the measure of the region enclosed by the figure.

Base

any side of a rectangle

definition of a line

definition of intersecting lines

definition of intersecting planes

definition of a plane

through any two points there is exactly one line.

if two distinct lines intersect then they intersect in exactl…

if two distinct planes intersect, then they intersect in exac…

through any noncollinear points there is exactly one plane

definition of a line

through any two points there is exactly one line.

definition of intersecting lines

if two distinct lines intersect then they intersect in exactl…

Properties of parallelograms

Properties of rhombuses

Properties of rectangles

Properties of squares

1. Opposite sides and opposite angles are congruent ... 2. Conse…

1. Opposite sides and opposite angles are congruent ... 2. Conse…

1. Opposite sides and opposite angles are congruent ... 2. Conse…

All the properties of a rhombus and rectangle

Properties of parallelograms

1. Opposite sides and opposite angles are congruent ... 2. Conse…

Properties of rhombuses

1. Opposite sides and opposite angles are congruent ... 2. Conse…

Diagonal

Parallelogram

Rhombus

Rectangle

a line segment joining two nonconsecutive vertices of a polyg…

a quadrilateral whose opposite sides are both parallel and eq…

A parallelogram with four equal sides

A parallelogram with four right angles

Diagonal

a line segment joining two nonconsecutive vertices of a polyg…

Parallelogram

a quadrilateral whose opposite sides are both parallel and eq…