#### Study sets matching "geometery chapter 6"

#### Study sets matching "geometery chapter 6"

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

Converse of the Angle Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of…

In a plane, if a point is equidistant from the endpoints of a…

If a point lies on the bisector of an angle, then it is equid…

If a point is in the interior of an angle and is equidistant…

Perpendicular Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of…

Converse of the Perpendicular Bisector…

In a plane, if a point is equidistant from the endpoints of a…

Trapezoid

Isosceles Trapezoid

Kite

Rhombus

Quadrilateral with exactly one pair of parallel sides.

A trapezoid with congruent legs.

A quadrilateral with 2 pairs of consecutive sides congruent a…

Parallelogram with 4 congruent sides.

Trapezoid

Quadrilateral with exactly one pair of parallel sides.

Isosceles Trapezoid

A trapezoid with congruent legs.

Theorem 6-1 The Exterior Angle Inequal…

Related If-Then Statements

Writing Indirect Proofs

Theorem 6-2:... If one side of a triangle…

Greater than the measure of either remote interior angle

A) A statement and it's contrapositive are logically equivale…

1) Assume temporarily that the conclusion is not true... 2) Reas…

Then the angle opposite the first side is larger than the ang…

Theorem 6-1 The Exterior Angle Inequal…

Greater than the measure of either remote interior angle

Related If-Then Statements

A) A statement and it's contrapositive are logically equivale…

image

preimage

translation

isometry

when a transformation moves or changes a figure in some way t…

the original figure

moves every point of a figure the SAME distance and in the SA…

a transformation that preserves length and angle measure, ano…

image

when a transformation moves or changes a figure in some way t…

preimage

the original figure

Diagonal

Parallelogram

Rhombus

Rectangle

A segment that connects any two nonconsectutive vertices of a…

A quadrilateral with two pairs of parallel sides.

A quadrilateral with four congruent sides.

A quadrilateral with four right angles.

Diagonal

A segment that connects any two nonconsectutive vertices of a…

Parallelogram

A quadrilateral with two pairs of parallel sides.

Circle

Chord

Secant

Tangent

The set of points in a plane that are a fixed distance from a…

A segment whose endpoints lie on a circle.

A line that intersects a circle at two points.

A line that is in the same plane as a circle and intersects t…

Circle

The set of points in a plane that are a fixed distance from a…

Chord

A segment whose endpoints lie on a circle.

Isometery/Isometries

Rigid Motion

Line of Reflection (know equtations of…

Image

A mapping for which the orginal figure and its image are cong…

Every piece of the transformation is the same as the orginal.

Perpendicular bisector ofnthe segment joining every point and…

A figure that results from the transfromation of a geometric…

Isometery/Isometries

A mapping for which the orginal figure and its image are cong…

Rigid Motion

Every piece of the transformation is the same as the orginal.

Vertical Angles

Vertical angles are congruent

Perpendicular Lines

If two lines are perpendicular, then t…

two angles such that the sides of one angle are opposite rays…

...

two lines that intersect to form rights angles (90º)

...

Vertical Angles

two angles such that the sides of one angle are opposite rays…

Vertical angles are congruent

...

Circle

Center

Radius

Chord

The locus or set of all points in a plane equidistant from a…

A point that is exactly in the middle of the circle and is eq…

A segement with endpoints at the center and on the circle.

A segment with endpoints on the circl.

Circle

The locus or set of all points in a plane equidistant from a…

Center

A point that is exactly in the middle of the circle and is eq…

circle

center

radius

chord

set of all points in a plane that are equidistant from a give…

the point that all other points are equidistant to in a circle

a segment whose endpoints are the center and any point on the…

a segment whose endpoints are on a circle

circle

set of all points in a plane that are equidistant from a give…

center

the point that all other points are equidistant to in a circle

Pythagorean triple

cosine

inverse tangent

trigonometric ratio

a set of three nonzero whole numbers

in a right triangle, the ration of the lenth of the leg adjac…

the measure of angle who tangent ration is known

a ratio of two sides of a right triangle

Pythagorean triple

a set of three nonzero whole numbers

cosine

in a right triangle, the ration of the lenth of the leg adjac…

circle

center

radius

chord

the set of all points in a plane that are equidistant from a…

given point that is equidistant from all points in a plane (c…

segment whose endpoints are the center and any point on the c…

a segment whose endpoints are on a circle

circle

the set of all points in a plane that are equidistant from a…

center

given point that is equidistant from all points in a plane (c…

linear pair

adjacent angles

vertical angles

supplementary

pair of adjacent angles formed when two lines intersect

two angles that have a common vertex and a common side

each of the pairs of opposite angles made by two intersecting…

either of two angles whose sum is 180°.

linear pair

pair of adjacent angles formed when two lines intersect

adjacent angles

two angles that have a common vertex and a common side

inductive reasoning

conjecture

counterexample

conditional

reasoning based upon patterns that you see

a conclusion you reach by using inductive reasoning

an example that shows a conjecture is incorrect

an if-then statement

inductive reasoning

reasoning based upon patterns that you see

conjecture

a conclusion you reach by using inductive reasoning

Polygon Sum Conjecture

Equiangular Polygon Conjecture

e=360/n

n=360/e

The sum of the measures of the n interior angles of n-gon is…

The formula used to find the measure of each interior angle o…

The formula used to find the measure of each exterior angle o…

The formula used to find the number of sides of an equiangula…

Polygon Sum Conjecture

The sum of the measures of the n interior angles of n-gon is…

Equiangular Polygon Conjecture

The formula used to find the measure of each interior angle o…

Altitude(of a parallelogram)

altitude(triangle)

apothem

area

the perpendicular segment with one endpoint on the line conta…

the perpendicular segment with one endpoint on the line conta…

perpendicular segment from the center of a regular polygon to…

the number of square units a figure encloses

Altitude(of a parallelogram)

the perpendicular segment with one endpoint on the line conta…

altitude(triangle)

the perpendicular segment with one endpoint on the line conta…

Ratio

Extended Ration

Proportion

Extremes

What is a comparison of two quantities using division?

What can be used to compare three or more quantities?

What is and equation stating that two ratios are equal?

A & D

Ratio

What is a comparison of two quantities using division?

Extended Ration

What can be used to compare three or more quantities?

Theorem 10.1

Theorem 10.2

Postulate 23 (Arc Addition Postulate)

Theorem 10.3

In a plane, a line is tangent to a circle if and only if the…

Tangent segments from a common external point are congruent

The measure of an arc formed by two adjacent arcs is the sum…

In the same circle, or in congruent circles, two minor arcs a…

Theorem 10.1

In a plane, a line is tangent to a circle if and only if the…

Theorem 10.2

Tangent segments from a common external point are congruent

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Coplanar Lines that do not intersect

Noncoplanar lines that do not intersect

Two planes that don't intersect

A line that intersects 2 or more coplanar lines at different…

Parallel Lines

Coplanar Lines that do not intersect

Skew Lines

Noncoplanar lines that do not intersect

2 angles are supplementary when...

If two angles add up to be 90 degrees…

Perpendicular lines...

The vertex of the angle

They add up to be 180 degrees

Complementary

Are 2 lines that meet for form congruent adjacent angles

Is the point at which all sides meet

2 angles are supplementary when...

They add up to be 180 degrees

If two angles add up to be 90 degrees…

Complementary

Area of a Parallelogram

Base of a Parallelogram

Height of a Parallelogram

Area of a Triangle

The area of parallelogram is the product of a base it's corre…

The top and bottom of the parallelogram.

Perpendicular distance bewteen the 2 parallel lines

The area of a triangle is one half the product of a base and…

Area of a Parallelogram

The area of parallelogram is the product of a base it's corre…

Base of a Parallelogram

The top and bottom of the parallelogram.

Angle bisector

Complementary Angles

Congruent Angles

Supplementary Angles

A ray that divides an angle into two congruent angles

two angles whose measures have a sum of 90

angles that have the same measure

two angles whose measures have a sum of 180

Angle bisector

A ray that divides an angle into two congruent angles

Complementary Angles

two angles whose measures have a sum of 90

Detour proofs

M=Xm,Ym (The midpoint formula)

Then they are right angles (theorem 23)

line segment

Proofs in which it is necessary to prove more than one pair o…

((X1+X2)/2, (Y1+Y2)/2)

If two angles are both supplementary and congruent,

The shortest path between two points

Detour proofs

Proofs in which it is necessary to prove more than one pair o…

M=Xm,Ym (The midpoint formula)

((X1+X2)/2, (Y1+Y2)/2)

a line segment or ray that passes thro…

Point of concurrency for a perpendicul…

A line, segment, or ray that cuts an a…

Point of concurrency of an angle bisec…

Perpendicular bisector

Circumcenter

Angle bisector

Incenter

a line segment or ray that passes thro…

Perpendicular bisector

Point of concurrency for a perpendicul…

Circumcenter

centroid of the triangle

the altitude of a triangle

concurrent

point of concurrency

is the point of concurrency of the medians also called the ce…

is the perpendicular segment from the vertex of the triangle…

when three or more lines intersect at one point

the point at which they intersect

centroid of the triangle

is the point of concurrency of the medians also called the ce…

the altitude of a triangle

is the perpendicular segment from the vertex of the triangle…

Inductive reasoning

Conjecture

Counter example

Conditional

use examples or patterns to arrive at a conclusion

educated concluding statement

an example used to show that your conjecture is wrong

statement that can be written in the form if p, then q

Inductive reasoning

use examples or patterns to arrive at a conclusion

Conjecture

educated concluding statement

segment addition postulate

angle addition postulate

supplements theorem (AKA Linear Pair P…

complements theorem

if A,B, & C are col-linear and B is between points A and C, A…

measure of angles AOC is equal to AOB+BOC

the two angles form a linear pair or line then they are suppl…

if two angles form a right angle then are complementary... (ex.…

segment addition postulate

if A,B, & C are col-linear and B is between points A and C, A…

angle addition postulate

measure of angles AOC is equal to AOB+BOC

Points:

How is a point named?

Lines:

A line is named by how?

Indicates a location and has no size .

Capital letter.

A straight path that extends in two opposite directions witho…

Two points or using a lowercase letter.

Points:

Indicates a location and has no size .

How is a point named?

Capital letter.

postulate

theorem

proof

negation

a statement that describes a fundamental relationship between…

a statement or conjecture that can be proven true by undefine…

a logical argument in which each statement you make is suppor…

If a statement is represented by p, then not p is the negatio…

postulate

a statement that describes a fundamental relationship between…

theorem

a statement or conjecture that can be proven true by undefine…

Inductive Reasoning

Fractal

Counterexample

Conjecture

a way to decide if something is true or false.... it is based on…

a pattern that is repeated at every scale ... (so that if you zo…

an example that proves a conjecture... ex: all prime #'s are odd

a conclusion reached by inductive reasoning... (this conclusion…

Inductive Reasoning

a way to decide if something is true or false.... it is based on…

Fractal

a pattern that is repeated at every scale ... (so that if you zo…

polygons

tringle

you can identify a triangle in 2 ways

scalene

closed plane figure formed by 3 or more straight line segment…

3 sides

angles or sides

no congruent sides

polygons

closed plane figure formed by 3 or more straight line segment…

tringle

3 sides

Vertical Angle Pair

Vertical Angle Theorem

Perpendicular Lines

Two lines are perpendicular lines IF A…

veritcal angles are the non0adjacent angle pair that are form…

If two angles are a verbal angle pair then the angles are con…

two lines m and l are said to be perpendicular IF AND ONLY IF…

two line are perpendicular lines IF AND ONLY IF they form 2 c…

Vertical Angle Pair

veritcal angles are the non0adjacent angle pair that are form…

Vertical Angle Theorem

If two angles are a verbal angle pair then the angles are con…

nearest the epiphysis and contains ran…

chondrocytes here produce new cartilag…

chondrocytes produced here mature and…

deepest part of articular cartilage be…

zone of resting cartilage

zone of proliferation

zone of hypertrophy

ossified

nearest the epiphysis and contains ran…

zone of resting cartilage

chondrocytes here produce new cartilag…

zone of proliferation

Cytoplasm

Nucleus

Vacuoles

Ribosomes

The jellyloke substance inside the cell mainly made up of water

A large structure that controls the cells metabolism and stor…

Storage sacks within the cytoplasm that can contain water, fo…

Tiny structures in the cell where proteins are made

Cytoplasm

The jellyloke substance inside the cell mainly made up of water

Nucleus

A large structure that controls the cells metabolism and stor…

Trait

Genetics

Purebred

Cross

Characteristics that is inherited.

Study of the heredity patterns and a variation of organisms.

Type of organism whose ancestors are genetically uniform.

Mating of two organisms.

Trait

Characteristics that is inherited.

Genetics

Study of the heredity patterns and a variation of organisms.

Trait

Genetics

Purebred

Cross

distinguishing characteristics that are inherited

study of biological inheritance patterns and variation in org…

if a line of plants has self pollinated for long enough, the…

mating of two organisms

Trait

distinguishing characteristics that are inherited

Genetics

study of biological inheritance patterns and variation in org…

JOHN DALTON

J.J THOMSON

ERNEST RUTHERFORD

NIELS BOHR

Proposed that matter is made of tiny, indivisible particles c…

Proposed that the atom contains negatively charged electrons.…

The gold foil experiment led him to purpose that atoms are mo…

Studied light produced by hydrogen atoms and proposed that el…

JOHN DALTON

Proposed that matter is made of tiny, indivisible particles c…

J.J THOMSON

Proposed that the atom contains negatively charged electrons.…