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Study sets matching "geometry 3"

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Study sets matching "geometry 3"

13 terms
Geometry Vocabulary Topic 3
alternate exterior angles
alternate interior angles
corresponding angles
parallel lines
Angles that lie outside a pair of lines and on opposite sides…
nonadjacent interior angles that lie on opposite sides of the…
Angles that lie on the same side of the transversal and in co…
lines in a plane that do not intersect
alternate exterior angles
Angles that lie outside a pair of lines and on opposite sides…
alternate interior angles
nonadjacent interior angles that lie on opposite sides of the…
8 terms
Geometry Lesson 2.3
Triangular Numbers Rule
Rectangular Numbers Rule
Concurrent
Number of diagonals Rule
f(n) = n(n+1)÷2
f(n) = n(n+1)
lines passing through the same point
f(n) = n(n-3)÷2
Triangular Numbers Rule
f(n) = n(n+1)÷2
Rectangular Numbers Rule
f(n) = n(n+1)
12 terms
Geometry Vocab Set #3
Trapezoid
Exterior Angles
Interior Angles
Alternate Interior Angles
A quadrilateral with a pair of opposite sides parallel is cal…
The angles 1 and 8 are _________________________
The angles 2 and 6 are
The angles 2 and 5 are
Trapezoid
A quadrilateral with a pair of opposite sides parallel is cal…
Exterior Angles
The angles 1 and 8 are _________________________
Geometry 3.1
Parallel Lines
Perpendicular Lines
Transversal line
Alternative Interior angles
Two lines that never touch
Two lines that intersect to make 90 degree angles
A line that passes through two lines in the same plane
Parallel Lines
Two lines that never touch
Perpendicular Lines
Two lines that intersect to make 90 degree angles
19 terms
Geometry 3-2
complementary angles
parallel lines
transversal
congruent
angle measurements equal 90 degrees
line that intersects a system of lines
complementary angles
angle measurements equal 90 degrees
parallel lines
27 terms
Geometry Chapter 1 - 3
Point
Ray
Line
Plane
Used to describe a location. Name with a capital letter.
A part of a line, with one endpoint, that continues without e…
A straight path that goes without end in two directions.
A flat surface that extends forever. Name a point with 3 nonc…
Point
Used to describe a location. Name with a capital letter.
Ray
A part of a line, with one endpoint, that continues without e…
37 terms
Geometry Ch., 1-5
acute
obtuse
point
segment
angle less than 90 degrees
angle greater than 90 degrees
no size
has endpoints
acute
angle less than 90 degrees
obtuse
angle greater than 90 degrees
17 terms
Geometry Unit 3 Vocabulary
Parallel Lines
Skew Lines
Corresponding Angles
Alternate Interior Angles
Lines that do not intersect and that lie in the same plane.
Lines that do not intersect and that do not line in the same…
Parallel Lines
Lines that do not intersect and that lie in the same plane.
Skew Lines
Lines that do not intersect and that do not line in the same…
18 terms
Geometry Chapter 3
corresponding angles
alternate interior angles
alternate exterior angles
same side interior angles
corresponding angles
alternate interior angles
12 terms
Geometry Lesson 1.3 Vocabulary
Counterexample
Good Definition has
Parallel Lines
Perpendicular Lines
something that would fit your definition, but is not what you…
classification, differentiation, and can be tested.
exist in the same plane that never meet. We use II to represe…
must meet at a 90° angle. We use ⊥ to represent it.
Counterexample
something that would fit your definition, but is not what you…
Good Definition has
classification, differentiation, and can be tested.
31 terms
Geometry Chapter 3
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Same Side Interior Angles
Nonadjacent interior that lie on opposite sides of a transver…
Nonadjacent exterior angles that lie on opposite sides of the…
Angles that lie on the same side of the traversal and in corr…
Interior angles that lie on the same side of the transversal.…
Alternate Interior Angles
Nonadjacent interior that lie on opposite sides of a transver…
Alternate Exterior Angles
Nonadjacent exterior angles that lie on opposite sides of the…
39 terms
Geometry Chapter 3
Parallel Lines
Perpendicular lines
Skew lines
Parallel Planes
Coplanar lines that do not intersect.... Their equations have th…
Lines that intersect at 90 degree angles.... Their slopes have a…
Lines that are not coplanar, not parallel and do not intersect.
Planes that do not intersect
Parallel Lines
Coplanar lines that do not intersect.... Their equations have th…
Perpendicular lines
Lines that intersect at 90 degree angles.... Their slopes have a…
21 terms
Unit 3 - Geometry
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Interior Angles
20 terms
Geometry 3
angle
acute angle
obtuse angle
right angle
A figure formed by two rays with a common endpoint endpoint c…
An angle that is less than 90 degrees
An angle between 90 and 180 degrees
90 degree angle
angle
A figure formed by two rays with a common endpoint endpoint c…
acute angle
An angle that is less than 90 degrees
24 terms
3 Geometry Terms OVHS
alternate exterior angles
alternate interior angles
angle bisector
complementary
∠1 & ∠8
∠6 & ∠3
Ray that divides angle into 2 congruent angles.
Angles that sum to 90 degrees
alternate exterior angles
∠1 & ∠8
alternate interior angles
∠6 & ∠3
8 terms
Geometry 3-1 to 3-3
Coordinate
Distance
Betweenness of Points
Acute Angle
a number that corresponds to a position on an axis
Length between two points
Point B is between points A and C if and only if A,B, and C a…
an angle that measures less than 90 degrees
Coordinate
a number that corresponds to a position on an axis
Distance
Length between two points
9 terms
Geometry 1.3 Vocabulary
angle
interior of an angle
exterior of an angle
acute angle
a figure formed by two rays with a common endpoint called the…
the set of all points between the sides of the angle
the set of all points outside the angle
an angle that measures greater than 0 degrees and less than 9…
angle
a figure formed by two rays with a common endpoint called the…
interior of an angle
the set of all points between the sides of the angle
19 terms
Geometry 3.1
Parallel Lines
Skew Lines
Parallel Planes
Parallel Line Postulate
Two lines that are coplanar and do not intersect
Lines that do not intersect and are not coplanar
Two planes that do not intersect
If there is a line and a point not on the line, then there is…
Parallel Lines
Two lines that are coplanar and do not intersect
Skew Lines
Lines that do not intersect and are not coplanar
Chapter 3 Geometry Vocabulary
angle-angle similarity
angle
congruent
corresponding sides
if two angles of one triangle are congruent to two correspond…
in geometric figures, usually formed by two segments with a c…
exactly the same shape and size
sides in two or more figures that are images of each other wi…
angle-angle similarity
if two angles of one triangle are congruent to two correspond…
angle
in geometric figures, usually formed by two segments with a c…
13 terms
Geometry Chapter 3
Parallel Lines
Skew Lines
Parallel planes
Transversal
Coplanar lines that do not intersect
Lines that do not intersect and are not coplanar
Planes that do not intersect
A line that intersects two or more lines.
Parallel Lines
Coplanar lines that do not intersect
Skew Lines
Lines that do not intersect and are not coplanar
14 terms
Geometry: Chapter 3 vocabulary
similarity
dilation
point of dilation / stretch point
scale factor / zoom factor
-same shape, but not necessarily the same size... -angles are co…
-a transformation where a point on a figure is stretched prop…
-the point of a figure that is stretched to form a dilation o…
-the number a side is multiplied by to make a bigger or small…
similarity
-same shape, but not necessarily the same size... -angles are co…
dilation
-a transformation where a point on a figure is stretched prop…
30 terms
Geometry - Chapter 3 Terms
Parallel Lines
Skew lines
Transversal
Parallel Postulate
When two or more lines lie in the same plane and never inters…
Lines that are in different planes and never intersect.
A line that intersects two or more lines in different points
If there is a line and a point not on a line, then there is e…
Parallel Lines
When two or more lines lie in the same plane and never inters…
Skew lines
Lines that are in different planes and never intersect.
25 terms
Geometry - Set 3
Construct
Classifying Triangles
Acute Triangle
Right Triangle
A tangent from a point outside a given circle to the circle
All equilateral triangles are isosceles
Three angles, each less than 90 degrees
One angle equals 90 segrees
Construct
A tangent from a point outside a given circle to the circle
Classifying Triangles
All equilateral triangles are isosceles
16 terms
geometry 3
point
line
plane
collinear
a location with no size and shape
made up of points and has no width or thickness; extends infi…
flat surface made up of points; has no depth and extends infi…
points on the same line
point
a location with no size and shape
line
made up of points and has no width or thickness; extends infi…
14 terms
Geometry Unit 1-3
isometry
congruent
CPCTC (CPCF)
Reflexive Property
composition of reflections, rotations, and translations
same size and shape
Corresponding Parts of Congruent Figures are Congruent
A is congruent to A
isometry
composition of reflections, rotations, and translations
congruent
same size and shape
10 terms
Geometry List 3
postulate (axiom)
inductive reasoning
deductive reasoning
conjecture
an accepted statement of fact.
a type of reasoning that reaches conclusions based on a patte…
a process of reasoning logically from given facts to a conclu…
a conclusion reached by inductive reasoning (guess).
postulate (axiom)
an accepted statement of fact.
inductive reasoning
a type of reasoning that reaches conclusions based on a patte…
8 terms
Geometry 3
congruent figures
similar figures
line symmetry
transformation
closed plane figures that have the same size and shape
closed plane figures that have the same shape, but not necess…
A figure has line symmetry if a line can be drawn through the…
a transformation in a figure is a change in its position, sha…
congruent figures
closed plane figures that have the same size and shape
similar figures
closed plane figures that have the same shape, but not necess…
22 terms
Geometry #3
Quadrilateral
Trapezoid
Parallelogram
Rectangle
a flat shape with four straight sides. I am the most open clu…
a four sided figure with one pair of parallel sides.
a 4-sided flat shape with straight sides where opposite sides…
a 4-sided flat shape with straight sides where all interior a…
Quadrilateral
a flat shape with four straight sides. I am the most open clu…
Trapezoid
a four sided figure with one pair of parallel sides.
16 terms
Geometry 3
transversal
corresponding
alternate interior
alternate exterior
a line that intersects 2 parallel lines
Angles 2 and 6 are
Angles 4 and 5 are
Angles 1 and 2 are
transversal
a line that intersects 2 parallel lines
corresponding
Angles 2 and 6 are
14 terms
Geometry Lesson 2.3, Geometry Lesson 2.4
Deductive Reasoning
Inductive Reasoning
2/3
1
The process of showing that certain statements follow... logical…
The process of observing data, recognizing patterns,... and maki…
Deductive Reasoning
The process of showing that certain statements follow... logical…
Inductive Reasoning
The process of observing data, recognizing patterns,... and maki…
30 terms
Geometry 3
Space
Collinear
Coplanar
Interesting lines theorem
A set of all points
Points all on the same line
Points all on the same plane
If 2 lines intersect then there intersection is one point
Space
A set of all points
Collinear
Points all on the same line
17 terms
Chapter 3.1 - 3.3 Geometry Vocabulary
Transversal
Interior
Exterior
Alternate Interior Angles
A line, ray, or segment that intersects two or more coplanar…
Area between the lines
Area outside the lines
Angles 2 and 7... Or... Angles 3 and 6
Transversal
A line, ray, or segment that intersects two or more coplanar…
Interior
Area between the lines
10 terms
Geometry Ch. 3 Vocabulary
parallel lines
skew lines
parallel planes
transversal
lines in the same plane that never intersect
do not intersect and do not lie on the same plane
planes that do not intersect
a line that intersects two or more lines
parallel lines
lines in the same plane that never intersect
skew lines
do not intersect and do not lie on the same plane
28 terms
Geometry Chapter 3
Alternate Interior Angles
Alternate Exterior Angles Converse
Parallel Lines
Parallel Planes
Between 2 lines, on opposite sides of the transversal
If Alternate Exterior Angles are congruent, then the lines ar…
Coplanar lines that never intersect
Planes that never intersect
Alternate Interior Angles
Between 2 lines, on opposite sides of the transversal
Alternate Exterior Angles Converse
If Alternate Exterior Angles are congruent, then the lines ar…
20 terms
Geometry Ch. #3 Vocabulary
Parallel Lines
Skew Lines
Transversal
Interior Angles
Two lines in the same plane that do not intersect
Two lines in different planes that do not intersect
A line that intersects two or more coplanar lines
Angles that lie in the region between the two lines
Parallel Lines
Two lines in the same plane that do not intersect
Skew Lines
Two lines in different planes that do not intersect
11 terms
Geometry 5.1-5.3
perpendicular lines
concurrent lines
point of concurrency
circumcenter
Lines that meet at right angles
3 or more lines that meat in a common point
the point where concurrent lines meet
the point of concurrency of 3 perpendicular bisectors
perpendicular lines
Lines that meet at right angles
concurrent lines
3 or more lines that meat in a common point
25 terms
Geometry 3
angle
vertex
right angle
parallel lines
A figure formed by two rays with a common endpoint
A point where two or more straight lines meet.
an angle that measures 90 degrees
lines that never intersect
angle
A figure formed by two rays with a common endpoint
vertex
A point where two or more straight lines meet.
9 terms
Chapter 3 Geometry Definitions
skew lines
parallel lines
parallel planes
transversal
lines that do not intersect and are no coplanar
lines that do not intersect and are coplanar
two planes that do no intersect
a line that intersects two or more coplanar lines at differen…
skew lines
lines that do not intersect and are no coplanar
parallel lines
lines that do not intersect and are coplanar
10 terms
Geometry Vocabulary 3
acute
right
obtuse
straight
_______ angles measure between 0-90 degrees
______ angles measure exactly 90 degrees
______ angles measure between 90 and 180 degrees
______ angles measures exactly 180 degrees
acute
_______ angles measure between 0-90 degrees
right
______ angles measure exactly 90 degrees
15 terms
EL Geometry Unit 3 Vocabulary
exterior angles
interior angles
alternate exterior angles
alternate interior angles
exterior angles
interior angles
16 terms
Geometry Chapter 3 Vocabulary
alternate exterior angles
alternate interior angles
corresponding angles
distance from a point to a line
the length of the perpendicular segment from the point to the…
alternate exterior angles
alternate interior angles
Geometry Chapter 3 Vocabulary
Vertical Angles
Linear Pair
Supplementary Angles
Angle
Two nonadjacent angles who share a common initial point and t…
Two adjacent angles that together form a line.
Two angles whose sum is 180 degrees.
Formed when two rays share an initial point.
Vertical Angles
Two nonadjacent angles who share a common initial point and t…
Linear Pair
Two adjacent angles that together form a line.
20 terms
Geometry Ch. #3 Vocabulary
Parallel Lines
Skew Lines
Transversal
Interior Angles
Two lines in the same plane that do not intersect
Two lines in different planes that do not intersect
A line that intersects two or more coplanar lines
Angles that lie in the region between the two lines
Parallel Lines
Two lines in the same plane that do not intersect
Skew Lines
Two lines in different planes that do not intersect
11 terms
Geometry Vocabulary topic 1-3
Acute angle
Angle
congruent angles
Measure of an angle
an angle that measures between 0 and 90 degrees
A figure formed by two rays with a common endpoint
angles that have the same measure
The number of degrees of an angle . Shown by the notations m∠…
Acute angle
an angle that measures between 0 and 90 degrees
Angle
A figure formed by two rays with a common endpoint
11 terms
Advanced Geometry 1.3
counterexample
right angle
acute angle
obtuse angle
an example that shows that a conjecture is incorrect or that…
an angle that measures 90 degrees
an angle that measures less than 90 degrees
an angle that measures more than 90 degrees but less than 180…
counterexample
an example that shows that a conjecture is incorrect or that…
right angle
an angle that measures 90 degrees
35 terms
term 3 Geometry Vocabulary
centroid
conditional
hypothesis
conclusion
the point of intersection of the medians of a triangle
a type of logical statement that has two parts, a hypothesis…
the if part of a conditional statement
the then part of a conditional statement
centroid
the point of intersection of the medians of a triangle
conditional
a type of logical statement that has two parts, a hypothesis…
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…
7 terms
Carnegie Geometry Ch. 3
perpendicular lines
parallel lines
trapezoid
legs of a trapezoid
Lines that intersect at a right angles and have opposite reci…
Lines that do not intersect and have the same slopes
a quadrilateral with exactly one pair of opposite sides paral…
the non parallel sides of a trapezoid
perpendicular lines
Lines that intersect at a right angles and have opposite reci…
parallel lines
Lines that do not intersect and have the same slopes
8 terms
Geometry- 3-D figures
polyhedron
prism
pyramid
cone
three-dimensional figure made of polygons
Polyhedron with two congruent, parallel bases
Polyhedron with one base; the other faces are triangles
3-D figure with one circular base and a curved surface that c…
polyhedron
three-dimensional figure made of polygons
prism
Polyhedron with two congruent, parallel bases
27 terms
Geometry Chapter 1 & 3
segment
intersection
collinear points
coplanar
two endpoints
crossing of two figures at a point or line
points on the same line
points or lines on the same plane
segment
two endpoints
intersection
crossing of two figures at a point or line
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