#### Study sets matching "discovering geometry"

#### Study sets matching "discovering geometry"

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…

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

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.

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

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

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

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.

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…

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

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.

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

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

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…

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

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…

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…

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…

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…

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…

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.

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

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…

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…

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…

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…

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…

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…

Equiangular Polygon

Equilateral Polygon

Quadrilateral

Polygon

a polygon where all the angles have the same measure (congrue…

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 (congrue…

Equilateral Polygon

a polygon where all the sides have the same measure

polyhedron

face of a polyhedron

edge

vertex

A solid whose surface consists of polygons and their interior…

(of a polyhedron) One of the polygons and its interior formin…

(of a solid) The intersection of two faces. (Lesson 10.1)

A point of intersection of two or more rays or line segments…

polyhedron

A solid whose surface consists of polygons and their interior…

face of a polyhedron

(of a polyhedron) One of the polygons and its interior formin…

n-gon

kite

Vertex Angles (of a kite)

Nonvertex Angles (of a kite)

A polygon with n sides.

A quadrilateral with exactly two distinct pairs of congruent…

The angles between the pairs of congruent sides.

The two angles between consecutive noncongruent sides of a ki…

n-gon

A polygon with n sides.

kite

A quadrilateral with exactly two distinct pairs of congruent…

Base angles (of a trapezoid)

Exterior angle (of a polygon)

Isosceles trapezoid

Midsegment (of a trapezoid)

A pair of angles with a base of the trapezoid as a common side

An angle that forms a linear pair with one of the interior an…

A trapezoid whose two nonparallel sides are congruent

The line segment connecting the midpoints of the two nonparal…

Base angles (of a trapezoid)

A pair of angles with a base of the trapezoid as a common side

Exterior angle (of a polygon)

An angle that forms a linear pair with one of the interior an…

Inscribed Circle

Circumscribed Circle

Concurrent Lines

Incenter

A circle that is inside a triangle and is tangent to its sides.

A circle that goes around a triangle and passes through its v…

Lines that meet at a common point.

The center of the inscribed circle of a triangle.

Inscribed Circle

A circle that is inside a triangle and is tangent to its sides.

Circumscribed Circle

A circle that goes around a triangle and passes through its v…

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.

area

base (of a polygon)

altitude (of a polygon)

height

The measure of the size of the interior of a figure, expresse…

A side of the polygon used for reference to determine an alti…

A perpendicular segment from a base to the parallel base or t…

The length of an altitude.

area

The measure of the size of the interior of a figure, expresse…

base (of a polygon)

A side of the polygon used for reference to determine an alti…

tessellation

monohedral tessellation

regular tessellation

vertex arrangement

A repeating pattern of shapes that completely cover a plane w…

A tessellation that uses only one shape.

A tessellation of congruent regular polygons

A notation that uses positive integers and other symbols to d…

tessellation

A repeating pattern of shapes that completely cover a plane w…

monohedral tessellation

A tessellation that uses only one shape.

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.

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

Perpendicular Bisector

Coincide

Median

Midsegment

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

To lie exactly on top of each other.

A line segment connecting a vertex of a triangle to the midpo…

A line segment connecting the midpoints of two sides.

Perpendicular Bisector

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

Coincide

To lie exactly on top of each other.

Reflection Line Conjecture

Coordinate Transformations Conjecture

Minimal Path Conjecture

Reflections Across Parallel Lines Conj…

The line of reflection is the perpendicular bisector of every…

The ordered pair rule (x,y)--> (-x,y) is a reflection across…

If points A and B are on one side of line L, then the minimal…

A composition of two reflections across two parallel lines is…

Reflection Line Conjecture

The line of reflection is the perpendicular bisector of every…

Coordinate Transformations Conjecture

The ordered pair rule (x,y)--> (-x,y) is a reflection across…

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…

n-gon

trapezoid

polygon

interior angle

A polygon with n sides.

A quadrilateral with exactly one pair of... parallel sides.

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

An angle of a polygon that lies inside the polygon.

n-gon

A polygon with n sides.

trapezoid

A quadrilateral with exactly one pair of... parallel sides.

tangent segment

tangent circles

internally tangent circles

externally tangent circles

A line segment that lies on a tangent line with one endpoint…

Circles that are tangent to the same line at the same point.

Two tangent circles having centers on the same side of their…

Two tangent circles having centers on opposite sides of their…

tangent segment

A line segment that lies on a tangent line with one endpoint…

tangent circles

Circles that are tangent to the same line at the same point.