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Study sets matching "geometry flashcards"

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Study sets matching "geometry flashcards"

11 terms
Geometry flashcards
Point
Line
Opposite rays
Line segment
A location. No length or width. Point P or P(3,4)
Only one dimension, continues forever. Notation with 2 arrows…
Two collinear Rays with the same endpoint, form a line. Notat…
Portion of a line strictly between two points. Just line over…
Point
A location. No length or width. Point P or P(3,4)
Line
Only one dimension, continues forever. Notation with 2 arrows…
24 terms
Geometry flashcards
postulate 1-1 (line)
postulate 1-2 (intersecting lines)
postulate 1-3 (intersecting planes)
postulate 1-4 (plane)
through any two points there is exactly one line.
if two distinct lines intersect, then they intersect in exact…
if two distinct planes intersect, then they intersect in exac…
through any three noncollinear points there is exactly one pl…
postulate 1-1 (line)
through any two points there is exactly one line.
postulate 1-2 (intersecting lines)
if two distinct lines intersect, then they intersect in exact…
27 terms
geometry flashcards
concurrent
point of concurrency
concurrency of perpendicular bisectors
circumcenter of a triangle
three or more lines intersect
where concurrent lines meet
the perpendicular bisectors of the sides of a triangle are co…
point of concurrency of the PERPENDICULAR BISECTORS of a tria…
concurrent
three or more lines intersect
point of concurrency
where concurrent lines meet
19 terms
Geometry Flashcards
Midsegment theorem
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector theorem
The segment connecting the midpoints of two sides of a triang…
In a plane, if a point is on the perpendicular bisector of a…
In a plane, if a point is equidistant from the endpoints of a…
If a point is on the Bisector of an angle, the it is equidist…
Midsegment theorem
The segment connecting the midpoints of two sides of a triang…
Perpendicular Bisector Theorem
In a plane, if a point is on the perpendicular bisector of a…
26 terms
Geometry flashcards
a conditional and it's
a converse and
Law of Detatchment
Law of Syllogism
contrapositive are logically equivalent
inverse of a conditional are logically equivalent
if p -->q is true and p is true, then q is true
q=p p=r q=r
a conditional and it's
contrapositive are logically equivalent
a converse and
inverse of a conditional are logically equivalent
10 terms
Geometry Flashcards
Square
Rectangle
Parallelogram
Triangle
A=bh
A=b*h
A=b^h
A=1/2 bh
Square
A=bh
Rectangle
A=b*h
10 terms
geometry flashcards
opposite sides are parallel
all sides are congruent
all angles are congruent right angles
diagonals bisect eachother
parrallelogram,rectangle,square,rhombus
square rectangle rhombus
square rectangle
all
opposite sides are parallel
parrallelogram,rectangle,square,rhombus
all sides are congruent
square rectangle rhombus
13 terms
Geometry Flashcards
concurrent
equidistant
point of concurrency
circumcenter
three or more lines, rays, or segments intersect in the same…
a point is ________ from two figures when the point is the sa…
the point of intersection of the lines, rays, or segments
the three perpendicular bisectorn are concurrent, the point o…
concurrent
three or more lines, rays, or segments intersect in the same…
equidistant
a point is ________ from two figures when the point is the sa…
9 terms
Geometry Flashcards
Line Segment
Vertex (Verticies)
Line
Point
This is partof a line. It has two endpoints and includes all…
The endpoint created where to rays or line segments meet.
A collection of points that goes on and on infinitely in both…
A location in space with no length, width, or height
Line Segment
This is partof a line. It has two endpoints and includes all…
Vertex (Verticies)
The endpoint created where to rays or line segments meet.
20 terms
Geometry flashcards
2×2
2×3
2×4
2×5
4
6
8
10
2×2
4
2×3
6
10 terms
Geometry Flashcards
opposite sides are parallel (both pairs)
all sides are congruent
all angles are congruent right angles
diagonals bisect each other
parallelogram, rectangle, rhombus, square
rhombus, square
rectangle, square
parallelogram, rectangle, rhombus, square
opposite sides are parallel (both pairs)
parallelogram, rectangle, rhombus, square
all sides are congruent
rhombus, square
15 terms
Geometry Flashcards
Point
Line
Plane
Collinear
Indicates a location and has no size
Straight path that extends forever in both directions
Flat surface the extends without ends
On the same line
Point
Indicates a location and has no size
Line
Straight path that extends forever in both directions
12 terms
Geometry Flashcards
Center
Radius
Diameter
Chord
The given point
A segment whose end points lie on the center of the circle
A chord that passes through the center of the circle
A segment whose rn points lie on a circle
Center
The given point
Radius
A segment whose end points lie on the center of the circle
8 terms
Geometry flashcards
AAS (angle-angle-side)
ASA (angle-side-angle)
SSA (side-side-angle)
AA (angle-angle-angle)
2 angles are congruent and 1 side length is the same
2 angles are congruent and 1 side is the same (side must be p…
2 sides have the same ratio and 1 angle is congruent
When 2 angles are congruent (must be marked)
AAS (angle-angle-side)
2 angles are congruent and 1 side length is the same
ASA (angle-side-angle)
2 angles are congruent and 1 side is the same (side must be p…
10 terms
Geometry Flashcards
Postulate 1
Postulate 2
Postulate 3
Postulate 4
To draw a straight line from any point to any point
To produce a finite straight line from any point to any point.
To describe a circle with any center and radius.
That all right angles equal one another.
Postulate 1
To draw a straight line from any point to any point
Postulate 2
To produce a finite straight line from any point to any point.
13 terms
Flashcards - Geometry
Explain the term "Colinear Points"
Explain the term "Point"
Explain the term "Space"
Explain the term "Line"
Colinear point is points who lies on the same line.
A point is data in a scatter plot
Space is defined as the set of all points
A line is a series of points that extends in two opposite dir…
Explain the term "Colinear Points"
Colinear point is points who lies on the same line.
Explain the term "Point"
A point is data in a scatter plot
17 terms
Geometry Flashcards
scalene
isosceles
equilateral
acute
a triangle with no equal sides
a triangle with 2 equal sides
a triangle with all equal sides
an angle less than 90°
scalene
a triangle with no equal sides
isosceles
a triangle with 2 equal sides
Geometry flashcards
Acute
Obtuse
Perpendicular
Isosceles
Angle Less than 90
A triangle greater than 90 degrees
An intersection of two lines that forms a right angle
At least 2 sides of a triangle are congruent
Acute
Angle Less than 90
Obtuse
A triangle greater than 90 degrees
15 terms
Geometry Flashcards
Point
Line
Plane
Colinear
Indicates a location that has no size
A straight path that extends forever in both directions
A flat surface that extends without end
Points together on a line
Point
Indicates a location that has no size
Line
A straight path that extends forever in both directions
15 terms
Geometry Flashcards
Point
Line
Plane
Collinear
Indicates a location in space.
Strait path the extends forever in both directions.
A flat surface that extends without end.
Points that are on the same line.
Point
Indicates a location in space.
Line
Strait path the extends forever in both directions.
16 terms
Geometry Flashcards
Complementary... Angles
Supplementary... Angles
Theorem
Vertical Angles
Two angles whose measures... have a sum of 90 degrees
Two angles whose measures... have a sum of 180 degrees
A statement that can be proven
Two angles formed by intersecting lines and... facing in the opp…
Complementary... Angles
Two angles whose measures... have a sum of 90 degrees
Supplementary... Angles
Two angles whose measures... have a sum of 180 degrees
32 terms
Geometry Flashcards
Definition of Congruent
Definition of Segment Bisector
Definition of Midpoint
Definition of Acute Angle
...
The Midpoint
The point in the middle of a segment
An angle with a measure under 90*
Definition of Congruent
...
Definition of Segment Bisector
The Midpoint
15 terms
Geometry flashcards
linear pair postulate
parallel postulate
perpendicular postulate
asa congruence postulate
linear pairs are supplememtary and add to 180 degrees
if there is a line and point not on the line one parallel lin…
if there is a line and a point not on the line one perpendicu…
if there are two congruent angles and an included side then t…
linear pair postulate
linear pairs are supplememtary and add to 180 degrees
parallel postulate
if there is a line and point not on the line one parallel lin…
49 terms
Geometry Flashcards
Acute Angle
Acute Triangle
Adjacent Angles
Degree
Angle less than 90 degrees
A triangle with all angles less than 90 degrees
Two angles with a shared vertex and side
A unit of measurement for angles
Acute Angle
Angle less than 90 degrees
Acute Triangle
A triangle with all angles less than 90 degrees
15 terms
Geometry Flashcards
Net
Collinear
Coplaner
Opposite Rays
A net is the shape that is formed by unfolding a three-dimens…
Three or more points are said to be collinear if they lie on…
Coplanar points are three or more points which lie in the sam…
Opposite math rays are rays with a common endpoint, extending…
Net
A net is the shape that is formed by unfolding a three-dimens…
Collinear
Three or more points are said to be collinear if they lie on…
54 terms
Geometry Flashcards
Point
Line
Ray
Segment
A location with no size. Named with a capital letter.
A series of points that extend in opposite directions without…
A part of a line with one endpoint, and all the points are on…
Part of a line with two endpoints, and all of the points betw…
Point
A location with no size. Named with a capital letter.
Line
A series of points that extend in opposite directions without…
14 terms
geometry flashcards
centroid
median
incenter
circumcenter
the center if gravity in a triangle
the center point of a line
point in the triangle that allows a circle to be drawn and to…
the point in the triangle that allows a circle to be drawn an…
centroid
the center if gravity in a triangle
median
the center point of a line
27 terms
Geometry Flashcards
Tessellation
Polygon
Triangle
Quadrilateral
A repeating pattern of plane figures that completely cover a…
A closed figure formed by three or more line segments
A three-sided polygon
A four-sided polygon
Tessellation
A repeating pattern of plane figures that completely cover a…
Polygon
A closed figure formed by three or more line segments
24 terms
Geometry Flashcards
Definition of a Line
Intersection of Lines
Intersection of Planes
Definition of a Plane
Through any two points there is exactly one line
If two distinct lines intersect, then they intersect in exact…
If two distinct planes intersect, then they intersect in exac…
Through any three noncollinear points there is exactly one pl…
Definition of a Line
Through any two points there is exactly one line
Intersection of Lines
If two distinct lines intersect, then they intersect in exact…
100 terms
Geometry Flashcards
Polygon
Regular Polygon
Concave
Convex
figure that all sides have a common endpoint to each side int…
all sides and angles are congruent
a line containing a side of polygon and contains a point in t…
a polygon with no line on both sides and a point in the inter…
Polygon
figure that all sides have a common endpoint to each side int…
Regular Polygon
all sides and angles are congruent
32 terms
Geometry Flashcards
Supplementary Angles
Interior of an Angle
Exterior of an Angle
Vertical Angles
Two angles whose measures have a sum of 180 degrees
The set of all points between the sides of an angle
The set of all points outside an angle
The non adjacent angles formed by two intersecting lines
Supplementary Angles
Two angles whose measures have a sum of 180 degrees
Interior of an Angle
The set of all points between the sides of an angle
23 terms
Geometry Flashcards
Point
Collinear
Endpoint
Coordinate
A line is defined as a line of points that extend infinitely…
A line on which points lie, especially if it is related to a…
End points mark the beginning or end of a line segment or Ray…
A coordinate is a number in an orderd pair that names the loc…
Point
A line is defined as a line of points that extend infinitely…
Collinear
A line on which points lie, especially if it is related to a…
11 terms
Geometry Flashcards
Perpendicular Bisector Theorem
Converse of Perpendicular Bisector The…
Angle Bisector Theorem
Centroid Theorem
If a point is on the perpendicular bisector of a segment, the…
Converse of the Perpendicular Bisector Theorem: If a point is…
An angle bisector of an angle of a triangle divides the oppos…
The centroid of a triangle is the point where the three media…
Perpendicular Bisector Theorem
If a point is on the perpendicular bisector of a segment, the…
Converse of Perpendicular Bisector The…
Converse of the Perpendicular Bisector Theorem: If a point is…
62 terms
Geometry Flashcards
Parallel lines
Skew lines
Corresponding angles
Perpendicular lines
Coplaner lines that do not intersect
Noncoplaner; they are not parallel and do not intersect
Angles in the same position
Intersecting
Parallel lines
Coplaner lines that do not intersect
Skew lines
Noncoplaner; they are not parallel and do not intersect
Geometry flashcards
congruent angles
congruent segments
angle bisector
complementary angles
if two angles have the same degree of measure, then they are…
if two segments have the same length, then they are conguent
If a ray bisects an angle, then it divides then angle into tw…
if two angles are complementary angles, then the sum of their…
congruent angles
if two angles have the same degree of measure, then they are…
congruent segments
if two segments have the same length, then they are conguent
11 terms
geometry flashcards
definition of midpoint of a segment
definition of supplementary angles
definition of complementary angles
definition of congruent angles
G: line segment... P: the point that divides the segment into 2…
G: m<3+m<4=180*... P: <3 supp <4
G: m<1+m<2=90*... P: <1 comp <2
G: m<1 = m<2... P: m<1 is congruent to m<2
definition of midpoint of a segment
G: line segment... P: the point that divides the segment into 2…
definition of supplementary angles
G: m<3+m<4=180*... P: <3 supp <4
83 terms
Geometry Flashcards
Equal
Congruent
Angle Bisector
Perpendicular lines
For measurement (numbers) (side lengths).
"The same" comparing shapes, angles and sides (not side lengt…
A ray that divides an angle into 2 congruent angles. The ray…
Perpendicular lines cross creating a 90 degree angle.
Equal
For measurement (numbers) (side lengths).
Congruent
"The same" comparing shapes, angles and sides (not side lengt…
15 terms
Geometry Flashcards
Plane
Linear Pair
Supplementary
Complimentary
A flat surface that extends without an end
Two adjacent angles that make a line (always supplementary)
Two angles that add up to 180
Two angles that add up to 90
Plane
A flat surface that extends without an end
Linear Pair
Two adjacent angles that make a line (always supplementary)
17 terms
geometry flashcards
point
line
ray
segment
a position in space
strait path extends without end in opposite directions
part of a line with one end point and extends with out
part of a line with two endpoints
point
a position in space
line
strait path extends without end in opposite directions
36 terms
geometry flashcards
Arc length
sector area
the central angle equals
A central angle is....
N/360 x 2πr
m/360 x pi r^2
arc measure
an angle whose vertex is at the center of the circle.
Arc length
N/360 x 2πr
sector area
m/360 x pi r^2
20 terms
Geometry flashcards
Linear Pair
Vertical Angles
Perimeter
Regular Polygon
A pair of adjacent angles with non-common sides.
Two intersecting lines that are nonadjacent angles.
The sides of a polygon.
All the sides and angles are congruent.
Linear Pair
A pair of adjacent angles with non-common sides.
Vertical Angles
Two intersecting lines that are nonadjacent angles.
10 terms
Geometry Flashcards
Point
Line
Plane
Collinear
An exact location. It has no size, only position.
Straight (no curves), has no thickness, and extends in both d…
In mathematics, a plane is a flat, two-dimensional surface th…
When three or more points lie on a straight line.... Two points…
Point
An exact location. It has no size, only position.
Line
Straight (no curves), has no thickness, and extends in both d…
12 terms
Geometry Flashcards
Volume
Vertex
Tree Diagram
Theoretical Probability
the amount of space that a substance or object occupies, or t…
each angular point of a polygon, polyhedron, or other figure;…
all possible outcomes of a number or solution, in the form of…
the number of ways that the event can occur, divided by the t…
Volume
the amount of space that a substance or object occupies, or t…
Vertex
each angular point of a polygon, polyhedron, or other figure;…
12 terms
Geometry Flashcards
parallel lines
Skew Lines
Parallel planes
Transversal
When two lines do not intersect and are coplaner
When two lines do not intersect and are not coplaner
Two planes that do not intersect
is a line that intersects two or more coplaner lines at diffe…
parallel lines
When two lines do not intersect and are coplaner
Skew Lines
When two lines do not intersect and are not coplaner
44 terms
Geometry Flashcards
linear pair
supplementary angles
right triangle
acute triangle
adjacent angles whos non-common sides are opposite rays
two angles whose measures add to 180
a triangle with a right angle
a triangle with all acute sides
linear pair
adjacent angles whos non-common sides are opposite rays
supplementary angles
two angles whose measures add to 180
21 terms
Geometry Flashcards
Angle
Side
Vertex
Acute angle
the figure formed by two rays, called the sides of the angle,…
one of the surfaces forming the outside of or bounding a thin…
the highest point of something; apex; summit; top.The point f…
An angle whose measure is between 0° and 90°.
Angle
the figure formed by two rays, called the sides of the angle,…
Side
one of the surfaces forming the outside of or bounding a thin…
22 terms
Geometry Flashcards
Central Angle
Major Arc
minor arc
semicircle
angle with its vertex at the center
measure of a major arc is 360 minus the minor arc, the major…
minor arc is defined by the measure of its central angle
measure of a semicircle is 180, use three letters to describe
Central Angle
angle with its vertex at the center
Major Arc
measure of a major arc is 360 minus the minor arc, the major…
17 terms
Geometry Flashcards
angle
vertex
sides of an angle
interior of an angle
A figure formed by two rays with a common endpoint
A point where two or more straight lines meet.
the two noncollinear rays that make up an angle
the set of all points between the sides of the angle
angle
A figure formed by two rays with a common endpoint
vertex
A point where two or more straight lines meet.
17 terms
Geometry Flashcards
Face
Edge
Vertex
Bases
polygons that enclose a three dimensional figure
a line segment formed by the intersection of two faces
a point where three or more edges meet
the parallel faces!
Face
polygons that enclose a three dimensional figure
Edge
a line segment formed by the intersection of two faces
34 terms
Geometry Flashcards
Acute Angle
Obtuse Angle
Right Angle
Equilateral Triangle
An angle that measures greater than 0 degrees and less than 9…
An angle whose measure is greater than 90 degrees but less th…
An angle that measures 90 degrees
A triangle with three congruent sides
Acute Angle
An angle that measures greater than 0 degrees and less than 9…
Obtuse Angle
An angle whose measure is greater than 90 degrees but less th…
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