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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…
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
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
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…
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
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
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 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.
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
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.
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…
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…
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.
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.
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…
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…
75 terms
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
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…
12 terms
Discovering Geometry Lesson 1.5 Triangles
Right Triangles
Acute Triangles
Obtuse Triangles
Scalene Triangles
Right Triangles
Acute Triangles
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.
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.
9 terms
Discovering Geometry Ch 3 vocabulary and conjectures
altitude of a triangle
median
midsegment
perpendicular bisector conjecture
distance from a vertex to the opposite side or the extension…
segment from a vertex to the midpoint of the opposite side of…
segment connecting two midpoints of the sides of a triangle
all points on the perpendicular bisector are equidistant from…
altitude of a triangle
distance from a vertex to the opposite side or the extension…
median
segment from a vertex to the midpoint of the opposite side of…
13 terms
7.1 Discovering Geometry
image
transformation
isometry
nonrigid transformation
The result of moving all points of a figure according to a tr…
A rule that assigns to each point of a figure another point i…
A transformation that preserves size and shape. The image of…
A transformation that does not preserve the size of the origi…
image
The result of moving all points of a figure according to a tr…
transformation
A rule that assigns to each point of a figure another point i…
12 terms
Discovering Geometry Ch 4 Vocabulary and Conjectures
Triangle Sum conjecture
Triangle Inequality
Side Angle Inequality
Exterior Angle conjecture
the angles of a triangle have a sum of 180 degrees
sum of two sides of a triangle must be greater than the third…
longest side of a triangle is opposite the largest angle
Triangle Sum conjecture
the angles of a triangle have a sum of 180 degrees
Triangle Inequality
sum of two sides of a triangle must be greater than the third…
29 terms
10.1 Discovering Geometry
polyhedron
face
edge
vertex (of a polyhedron)
A solid formed by polygonal surfaces that enclose a single re…
One of the polygons and its interior forming the surface of a…
The intersection of two faces in a polyhedron.
A point of intersection of three or more edges.
polyhedron
A solid formed by polygonal surfaces that enclose a single re…
face
One of the polygons and its interior forming the surface of a…
21 terms
NDSJ Discovering Geometry, Chapter 4 Vocabulary and Conjectures
Triangle Sum Conjecture
Auxiliary line
Legs
Isosceles Triangle Conjecture
The sum of the measures of the angles in every triangle is 180°
An extra line or segment that helps with a proof
The other two sides of an isosceles triangle that are not the…
If a triangle is isosceles, then its base angles are congruent
Triangle Sum Conjecture
The sum of the measures of the angles in every triangle is 180°
Auxiliary line
An extra line or segment that helps with a proof
11 terms
Discovering Geometry Ch 2 Vocabulary/Conjectures
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
24 terms
Discovering Geometry Chapter 6 Vocabulary and Conjectures
Circumference
Cyclic quadrilateral
Externally tangent (circles)
Inscribed (in a circle, semicircle, or…
The distance around a circle, given by the formula C=2πr, whe…
A quadrilateral that can be inscribed in a circle
Intersecting at exactly the one point, with neither circle in…
Having each vertex on the circle, semicircle, or sphere. Usua…
Circumference
The distance around a circle, given by the formula C=2πr, whe…
Cyclic quadrilateral
A quadrilateral that can be inscribed in a circle
18 terms
Discovering Geometry - Chapter 6 Conjectures
Tangent Conjecture
Tangent Segments Conjecture
Chord Central Angles Conjecture
Chord Arcs Conjecture
A tangent to a circle is perpendicular to the radius drawn to…
Tangent segments to a circle from a point outside the circle…
If two chords in a circle are congruent, then they determine…
If two chords in a circle are congruent, then their intercept…
Tangent Conjecture
A tangent to a circle is perpendicular to the radius drawn to…
Tangent Segments Conjecture
Tangent segments to a circle from a point outside the circle…
36 terms
Discovering Geometry Chapter 1-5
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 ang…
If two angles are vertical angles, then they are congruent.
If two parallel lines are cut by a transversal then correspon…
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 ang…
Vertical Angles Conjecture
If two angles are vertical angles, then they are congruent.
21 terms
Discovering Geometry, Chapter 4 Vocabulary and Conjectures
Triangle Sum Conjecture
Auxiliary line
Legs of an Isosceles Triangle
Isosceles Triangle Conjecture
The sum of the measures of the angles in every triangle is 180°
An extra line or segment that helps with a proof
The two sides of an isosceles triangle that are not the base.
If a triangle is isosceles, then its base angles are congruent
Triangle Sum Conjecture
The sum of the measures of the angles in every triangle is 180°
Auxiliary line
An extra line or segment that helps with a proof
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…
77 terms
Discovering Geometry - Chapter 1 Vocabulary with Changes
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
82 terms
Discovering Geometry Chapter 1 2014
point
line
plane
collinear
An undefined term thought of as a location
An undefined term thought of as a straight,... continuous arrang…
An undefined term thought of as a flat... surface that extends i…
This means on the same line
point
An undefined term thought of as a location
line
An undefined term thought of as a straight,... continuous arrang…
60 terms
Discovering Geometry Chapter#1 Humboldt
collinear
coplanar
congruent
midpoint
on the same line
in the same plane
two figures with equal measures
point that divides a segment into two equal parts
collinear
on the same line
coplanar
in the same plane
11 terms
NDSJ Discovering Geometry, Chapter 9 Vocabulary and Conjectures
Distance (between two points)
Hypotenuse
Legs (of a right triangle)
Pythagorean Theorem
The length of the line segment between two points
The side opposite the right angle in a right triangle. The ot…
The two sides of a triangle that are not the hypotenuse
The theorem that says that, in a right triangle, the sum of t…
Distance (between two points)
The length of the line segment between two points
Hypotenuse
The side opposite the right angle in a right triangle. The ot…
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
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
11 terms
Discovering Geometry Ch 9 Vocabulary and Conjectures
Distance (between two points)
Hypotenuse
Legs (of a right triangle)
Pythagorean Theorem
The length of the line segment between two points
The side opposite the right angle in a right triangle. The ot…
The two sides of a triangle that are not the hypotenuse
The theorem that says that, in a right triangle, the sum of t…
Distance (between two points)
The length of the line segment between two points
Hypotenuse
The side opposite the right angle in a right triangle. The ot…
37 terms
NDSJ 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…
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.
81 terms
Discovering Geometry Chapter 5
Isosceles Trapezoid Conjecture
Isosceles Trapezoid Diagonals Conjecture
Three Midsegments Conjecture
Triangle Midsegment Conjecture
The base angles of an isosceles trapezoid are congruent.
The diagonals of an isosceles trapezoid are congruent.
The three midsegments of a triangle divide the triangle into…
A midsegment of a triangle is parallel to the third side and…
Isosceles Trapezoid Conjecture
The base angles of an isosceles trapezoid are congruent.
Isosceles Trapezoid Diagonals Conjecture
The diagonals of an isosceles trapezoid are congruent.
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