Study sets matching "discovering geometry"

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Study sets matching "discovering geometry"

28 terms
Discovering Geometry // Chapter 3
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…
28 terms
Discovering Geometry // Chapter 3
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…
94 terms
Discovering Geometry Chapter 2, Discovering Geometry - Chapter 1 Vocabulary
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.
75 terms
Discovering Geometry - Chapter 1 Vocabulary
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
Discovering Geometry - Chapter 1 Vocabulary
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
52 terms
Discovering Geometry Ch 1 Vocabulary
acute
obtuse
point
segment
angle less than 90 degrees
angle greater than 90 degrees
no size
part of a line with two endpoints
acute
angle less than 90 degrees
obtuse
angle greater than 90 degrees
75 terms
Discovering Geometry - Chapter 1 Vocabulary
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
Discovering Geometry // Chapter 3
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…
12 terms
Discovering Geometry Chapter 2
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.
11 terms
1.3 Discovering Geometry
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…
17 terms
Discovering Geometry Chapter 3
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
19 terms
Discovering Geometry Chapter 2
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.
13 terms
Discovering Geometry Chapter 4
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
19 terms
Discovering Geometry Chapter 7
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
20 terms
Discovering Geometry Chapter 8
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…
39 terms
Discovering Geometry Chapter 1
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
6 terms
1.6 Discovering Geometry
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…
13 terms
1.1 Discovering Geometry
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…
11 terms
1.2 Discovering Geometry
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.
6 terms
3.2 Discovering Geometry
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…
15 terms
1.7 Discovering Geometry
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…
6 terms
1.8 Discovering Geometry
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…
8 terms
3.7 Discovering Geometry
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…
24 terms
1.4 Discovering Geometry
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.
10 terms
1.5 Discovering Geometry
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.
74 terms
Discovering Geometry - Chap 1 Vocab
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
5 terms
2.2 Discovering Geometry
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…
Discovering Geometry Ch 10 Conjectures
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…
20 terms
Discovering Geometry Chapter 8
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…
28 terms
Discovering Geometry // Chapter 3
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…
92 terms
Discovering Geometry Vocab
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…
23 terms
Discovering Geometry Quiz 1 Vocabulary
acute
obtuse
point
segment
angle less than 90 degrees
angle greater than 90 degrees
a location in space, no size (no official definition)
part of a line with two endpoints
acute
angle less than 90 degrees
obtuse
angle greater than 90 degrees
37 terms
Discovering Geometry // Chapter 3
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…
33 terms
Discovering Geometry, Chapter 3 Vocabulary and Conjectures
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…
Discovering Geometry - Chapter 1 Vocabulary
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
24 terms
Discovering Geometry Chapter 10
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…
15 terms
Discovering Geometry Chapter 5
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…
31 terms
Discovering Geometry Ch 5 Vocabulary and Conjectures
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…
11 terms
Discovering Geometry - Chapter 3 Vocabulary
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…
18 terms
Discovering Geometry, Chapter 4 Vocabulary and Conjectures
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.
6 terms
8.1 Discovering Geometry
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…
8 terms
7.4 Discovering Geometry
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.
12 terms
Discovering Geometry Chapter 2
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.
58 terms
Discovering Geometry - Chapter 1 Vocabulary (edited)
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
12 terms
Discovering Geometry Lesson 1.5 Triangles
Right Triangles
Acute Triangles
Obtuse Triangles
Scalene Triangles
Right Triangles
Acute Triangles
20 terms
Discovering Geometry Chapter 3
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.
22 terms
Discovering Geometry Chapter 7
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…
Discovering Geometry Chapter 2 Conjectures
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…
13 terms
Discovering Geometry-Chapter 5
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.
13 terms
Discovering Geometry - Chapter 6 Vocabulary
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.
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