#### Study sets matching "geometry 2 discovering"

#### Study sets matching "geometry 2 discovering"

function rule

n th term

function notation

linear function

A rule that, when applied to one set of numbers, generates an…

The number that a function rule generates as output for a cou…

A convention for expressing a function rule in terms of its i…

A function rule that, when applied to consecutive whole numbe…

function rule

A rule that, when applied to one set of numbers, generates an…

n th term

The number that a function rule generates as output for a cou…

angle

vertex (of an angle)

side (of an angle)

measure of an angle

Two non collinear rays having a common endpoint.

The common endpoint of the two rays of the angle.

One of the two rays that form an angle.

The smallest amount of rotation about the vortex from one ray…

angle

Two non collinear rays having a common endpoint.

vertex (of an angle)

The common endpoint of the two rays of the angle.

segment bisector

perpendicular bisector

coincide

equidistant

A line, ray, or segment that passes through the midpoint of a…

A line that divides a line segment into two congruent parts a…

To lie exactly on top of each other.

Equally distant

segment bisector

A line, ray, or segment that passes through the midpoint of a…

perpendicular bisector

A line that divides a line segment into two congruent parts a…

Inductive reasoning

conjecture

postulate

deductive reasoning

the process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

a statement accepted without proof, because it cannot be disp…

process of showing that certain statements follow logically f…

Inductive reasoning

the process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning.

Inductive Reasoning

Conjecture

Function Rule

Linear Function

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

A rule that, when applied to one set of numbers, generates an…

A function rule that, when applied to consecutive whole numbe…

Inductive Reasoning

The process of observing data, recognizing patterns, and maki…

Conjecture

A generalization resulting from inductive reasoning.

Inductive reasoning

conjecture

postulate

deductive reasoning

the process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

a statement accepted without proof, because it cannot be disp…

process of showing that certain statements follow logically f…

Inductive reasoning

the process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning.

Inductive Reasoning

Conjecture

Function Rule

Linear Function

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

A rule that, when applied to one set of numbers, generates an…

A function rule that, when applied to consecutive whole numbe…

Inductive Reasoning

The process of observing data, recognizing patterns, and maki…

Conjecture

A generalization resulting from inductive reasoning.

dilation

scale factor

enlargement

reduction

a non-rigid transformation that enlarges or reduces a geometr…

amount of increase or decrease in size

dilation where scale factor is greater than 1

dilation where scale factor is greater than 0 and less than 1…

dilation

a non-rigid transformation that enlarges or reduces a geometr…

scale factor

amount of increase or decrease in size

Linear Pair Conjecture

Vertical Angles Conjecture

Corresponding Angles Conjecture

Alternate Interior Angles Conjecture,…

If two angles form a linear pair, then the measures of the an…

If two angles are vertical angles, then they are congruent (h…

If two parallel lines are cut by a transversal, then correspo…

If two parallel lines are cut by a transversal, then alternat…

Linear Pair Conjecture

If two angles form a linear pair, then the measures of the an…

Vertical Angles Conjecture

If two angles are vertical angles, then they are congruent (h…

inductive reasoning

logic

reasoning

counterexample

uses patterns to arrive at a conclusion or conjecture... find a…

Science of correct reasoning

The drawing inferences or conclusions from known or assumed f…

A specific example that proves a conjecture is false

inductive reasoning

uses patterns to arrive at a conclusion or conjecture... find a…

logic

Science of correct reasoning

inductive reasoning

deductive reasoning

Overlapping Segments Conjecture

Overlapping Angles Conjecture

reasoning based on a pattern

reasoning based on logical argument

AC = BD

measure angle APD = measure angle CPD

inductive reasoning

reasoning based on a pattern

deductive reasoning

reasoning based on logical argument

inductive reasoning

deductive reasoning

Overlapping Segments Conjecture

Overlapping Angles Conjecture

reasoning based on a pattern (Scientific Method)

reasoning based on logical argument (Sherlock Holmes)

AC = BD

measure angle APD = measure angle CPD

inductive reasoning

reasoning based on a pattern (Scientific Method)

deductive reasoning

reasoning based on logical argument (Sherlock Holmes)

Inductive reasoning

conjecture

postulate

deductive reasoning

the process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

a statement accepted without proof, because it cannot be disp…

process of showing that certain statements follow logically f…

Inductive reasoning

the process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning.

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

inductive reasoning

conjecture

linear function

mathematical model

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

A function rule that, when applied to consecutive whole numbe…

A mathematical way of representing a real-world situation.

inductive reasoning

The process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning.

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

inductive reasoning

conjecture

rectangular numbers

function rule

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

Numbers that can be represented by a rectangular array of dot…

A rule that, when applied to one set of numbers, generates an…

inductive reasoning

The process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning.

inductive reasoning

conjecture

rectangular numbers

function rule

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

Numbers that can be represented by a rectangular array of dot…

A rule that, when applied to one set of numbers, generates an…

inductive reasoning

The process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning.

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

inductive reasoning

conjecture

rectangular numbers

function rule

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning. (Educate…

Numbers that can be represented by a rectangular array of dot…

A rule that, when applied to one set of numbers, generates an…

inductive reasoning

The process of observing data, recognizing patterns, and maki…

conjecture

A generalization resulting from inductive reasoning. (Educate…

Exterior Angle

Adjacent Interior Angle

Remote Interior Angles

Vertex angle

an angle outside of a polygon formed from an extension of a s…

angle next to an exterior angle

angles opposite the adjacent interior angle

The angle between the congruent legs of an isosceles triangle

Exterior Angle

an angle outside of a polygon formed from an extension of a s…

Adjacent Interior Angle

angle next to an exterior angle

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

Image

preimage

isometry

line of reflection

the result of moving a figure according to a transformation.

the original figure of a transformation

A transformation that preserves size and shape.

the line over which every point of a figure is moved by a ref…

Image

the result of moving a figure according to a transformation.

preimage

the original figure of a transformation

construct

sketch

draw

segment bisector

Making a shape through the use of a compass and straightedge.…

A free hand drawing

Making a shape through the use of your compass, straightedge,…

A line, ray, or segment that passes through the midpoint of a…

construct

Making a shape through the use of a compass and straightedge.…

sketch

A free hand drawing

inscribed angle

cyclic quadrilateral

secant

circumference

An angle whose vertex lies on a circle and whose sides are ch…

A quadrilateral that can be inscribed in a circle.

A line that intersects a circle in two points.

The perimeter of a circle, which is the distance around the c…

inscribed angle

An angle whose vertex lies on a circle and whose sides are ch…

cyclic quadrilateral

A quadrilateral that can be inscribed in a circle.

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

counterexample

classify and differentiate

perpendicular

parallel

An example that shows a conjecture tone incorrect or a defini…

Defining a term by categorizing it, then distinguishing it fr…

Lines are perpendicular if they meet at 90 degree angles. Lin…

Lines are parallel if they lie in the same plane and do not i…

counterexample

An example that shows a conjecture tone incorrect or a defini…

classify and differentiate

Defining a term by categorizing it, then distinguishing it fr…

Rectangle Area Conjecture

Parallelogram Area Conjecture

Triangle Area Conjecture

Trapezoid Area Conjecture

The area of a rectangle is given by the formula A=bh, where A…

The area of a parallelogram is given by the formula A=bh, whe…

The area of a triangle is given by the formula A=1/2bh, where…

The area of a trapezoid is given by the formula A=1/2(b1+b2)h…

Rectangle Area Conjecture

The area of a rectangle is given by the formula A=bh, where A…

Parallelogram Area Conjecture

The area of a parallelogram is given by the formula A=bh, whe…

Chord Central Angles Conjecture

Chord Arc Conjecture

Perpendicular to a Chord Conjecture

Chord Distance to Center Conjecture

if two chords in a circle are congruent then they determine t…

If two chords in a circle are congruent, then their intercept…

the perpendicular from the center of a circle to a chord is t…

Two congruent chords in a circle are equidistant from the cen…

Chord Central Angles Conjecture

if two chords in a circle are congruent then they determine t…

Chord Arc Conjecture

If two chords in a circle are congruent, then their intercept…

trapezoid

kite

parallelogram

rhombus

A quadrilateral with exactly one pair of parallel sides.

A quadrilateral with exactly two distinct pairs of congruent…

A quadrilateral in which both pairs of opposite sides are par…

An equilateral parallelogram

trapezoid

A quadrilateral with exactly one pair of parallel sides.

kite

A quadrilateral with exactly two distinct pairs of congruent…

point

line

plane

definition

An undefined term thought of as a location with no size or di…

An undefined term thought of as a straight, continuous arrang…

An undefined term thought of as a flat surface that extends i…

A statement that clarifies or explains the meaning of a word…

point

An undefined term thought of as a location with no size or di…

line

An undefined term thought of as a straight, continuous arrang…

collinear points

coplanar points

midpoint of a segment

parallel lines

points that are on the same line

objects that are on the same plane

a point on a segment that is equidistant from its endpoints

two or more lines on the same plane that do not intersect

collinear points

points that are on the same line

coplanar points

objects that are on the same plane

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…

circle

center (of a circle)

radius

chord

The set of all points in a plane at a given distance from a g…

The coplanar point from which all points of the circle are th…

A line segment from the center of a circle or sphere to a poi…

A line segment whose endpoints lie on a circle.

circle

The set of all points in a plane at a given distance from a g…

center (of a circle)

The coplanar point from which all points of the circle are th…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A segment that has many perpendiculars and many bisectors, bu…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A segment that has many perpendiculars and many bisectors, bu…

concurrent lines

point of concurrency

circumcenter

orthocenter

Two or more lines that intersect in a single point.

The point at which two or more lines, line segments, or rays…

The point of concurrency of a triangle's three angle bisectors.

The point of concurrency of a triangle's three altitudes (or…

concurrent lines

Two or more lines that intersect in a single point.

point of concurrency

The point at which two or more lines, line segments, or rays…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

polygon

side (of a polygon)

vertex (of a polygon)

angle (of a polygon)

A closed figure in a plane, formed by connecting line segment…

A line segment connecting consecutive vertices of a polygon.

An endpoint where two sides of the polygon meet.

An angle having two adjacent sides of the polygon as its sides.

polygon

A closed figure in a plane, formed by connecting line segment…

side (of a polygon)

A line segment connecting consecutive vertices of a polygon.

assume

right triangle

acute triangle

obtuse triangle

To accept as true without facts or proof.

A triangle with a right angle.

A triangle with three acute angles.

A triangle with an obtuse angle

assume

To accept as true without facts or proof.

right triangle

A triangle with a right angle.

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

Conjecture A

Conjecture C

Pyramid-Cone Volume Conjecture

Sphere Volume Conjecture

If B is the area of the base of a right rectangular prism and…

The volume of an oblique prism (or cylinder) is the same as t…

V=(1/3)BH... Where B = base area and H = height of object

V=(4/3)πr^3

Conjecture A

If B is the area of the base of a right rectangular prism and…

Conjecture C

The volume of an oblique prism (or cylinder) is the same as t…

Opposite Sides Theorem

Opposite Angles Theorem

Converse of the Opposite Sides Theorem

Converse of the Opposite Angles Theorem

The opposite sides of a parallelogram are congruent.

Opposite angles of a parallelogram are congruent.

If the opposite sides of a quadrilateral are congruent, then…

If the opposite angles of a quadrilateral are congruent, then…

Opposite Sides Theorem

The opposite sides of a parallelogram are congruent.

Opposite Angles Theorem

Opposite angles of a parallelogram are congruent.

Triangle Sum Conjecture

Legs of an Isosceles Triangle

Isosceles Triangle Conjecture

Adjacent interior angle

The sum of the measures of the angles in every triangle is 180°

The two sides of an isosceles triangle that are not the base.

If a triangle is isosceles, then its base angles are congruent

The interior angle that forms a linear pair with a given exte…

Triangle Sum Conjecture

The sum of the measures of the angles in every triangle is 180°

Legs of an Isosceles Triangle

The two sides of an isosceles triangle that are not the base.

Rectangle Area Conjecture

Parallelogram Area Conjecture

Triangle Area Conjecture

Trapezoid Area Conjecture

The area of a rectangle is given by the formula A=bh, where A…

The area of a parallelogram is given by the formula A=bh, whe…

The area of a triangle is given by the formula A=1/2bh, where…

The area of a trapezoid is given by the formula A=1/2(b1+b2)h…

Rectangle Area Conjecture

The area of a rectangle is given by the formula A=bh, where A…

Parallelogram Area Conjecture

The area of a parallelogram is given by the formula A=bh, whe…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure

a polygon where all the sides have the same measure

a polygon with four sides

a closed figure in a plane, formed by connecting line segment…

Equiangular Polygon

a polygon where all the angles have the same measure

Equilateral Polygon

a polygon where all the sides have the same measure

point

line

plane

collinear points

undefined - has no size, only a location, names with a capita…

undefined - straight, continuous arrangement of infinitely ma…

undefined - has length and width, but no thickness; like flat…

points that are on the same line

point

undefined - has no size, only a location, names with a capita…

line

undefined - straight, continuous arrangement of infinitely ma…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A segment that has many perpendiculars and many bisectors, bu…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A segment that has many perpendiculars and many bisectors, bu…