Study sets matching "geometry flashcards"

Study sets
Classes
Users

Study sets matching "geometry flashcards"

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…
GEOMETRY FLASHCARDS
Line Segment
Ray
Opposite Rays
Angle
The part of a line that connects two points.It has definite e…
A portion of a line which starts at a point and goes off in a…
Two rays with a common endpoint that point in opposite direct…
The amount of turn between two straight lines that have a com…
Line Segment
The part of a line that connects two points.It has definite e…
Ray
A portion of a line which starts at a point and goes off in a…
Geometry Flashcards
Circle
Radius
Diameter
Chord
a round plane figure whose boundary (the circumference) consi…
a straight line from the center to the circumference of a cir…
a straight line passing from side to side through the center…
a group of (typically three or more) notes sounded together,…
Circle
a round plane figure whose boundary (the circumference) consi…
Radius
a straight line from the center to the circumference of a cir…
geometry flashcards
distance formula
slope formula
midpoint formula
to prove a triangle is isosceles
(X2-X1)2 + (Y2-Y1)2 all over square root ... used for congruency
Y2-Y1/ X2-X1 ... if equal to each other, then parallel ... if negat…
(X1+X2/2) (Y2-Y1/2)... used to prove that diagonals bisect each…
show that two sides are congruent using distance formula
distance formula
(X2-X1)2 + (Y2-Y1)2 all over square root ... used for congruency
slope formula
Y2-Y1/ X2-X1 ... if equal to each other, then parallel ... if negat…
11 terms
geometry flashcards
point
line
plane
collinear points
a location. has neither size nor shape. named by a capital le…
made up of points, has no thickness or width. exactly 1 line…
a flat surface made up of points that extend infinitely in al…
points that lie on the same line
point
a location. has neither size nor shape. named by a capital le…
line
made up of points, has no thickness or width. exactly 1 line…
Geometry flashcards
Quadrilateral
Parallelogram
Rhombus
Rectangle
4 sides, Interior angle sum is 360
Opposite sides are congruent... Opposite angles are equal... Diagon…
Parallelogram with 4 congruent sides... Diagonals are perpendicu…
All angles 90 degrees... Diagonals are congruent
Quadrilateral
4 sides, Interior angle sum is 360
Parallelogram
Opposite sides are congruent... Opposite angles are equal... Diagon…
10 terms
Geometry Flashcards
Congruent
Parallel
Perpendicular
Centroid
all sides and angles are equal
lines that do not meet
when lines meet at a 90 degree angle
where all 3 medians meet. always inside the triangle
Congruent
all sides and angles are equal
Parallel
lines that do not meet
13 terms
Geometry Flashcards
Angle
Sides
Vertex
Acute Angle
The amount of turn between two straight lines that have a com…
The ray where measurement of an angle starts.
A point where two or more straight lines meet. A corner.
An Acute Angle is less than 90°
Angle
The amount of turn between two straight lines that have a com…
Sides
The ray where measurement of an angle starts.
13 terms
Geometry Flashcards
Angle
Sides
Vertex
Acute Angle
An angle is formed by two rays with the same endpoint. The ra…
One of the lines that make a flat (2-dimensional) shape. Or o…
A point where two or more straight lines meet. A corner.
An angle whose measure is between 0 and 90.
Angle
An angle is formed by two rays with the same endpoint. The ra…
Sides
One of the lines that make a flat (2-dimensional) shape. Or o…
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…
Geometry Flashcards
Triangle Midsegment Theorem
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
If a segment joins the midpoints of two sides of a triangle,…
If a point is on the perpendicular bisector of a segment, the…
If a point is equidistant from the endpoints of a segment, th…
If a point is on the bisector of an angle, then the point is…
Triangle Midsegment Theorem
If a segment joins the midpoints of two sides of a triangle,…
Perpendicular Bisector Theorem
If a point is on the perpendicular bisector of a segment, the…
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…
11 terms
Geometry Flashcards
3
4
5
6
triangle
Quadrilateral
pentagon
hexagon
3
triangle
4
Quadrilateral
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
19 terms
Geometry Flashcards
Perpendicular
Right Angle
Obtuse angle
Acute angle
Lines that form a right angle
90 degrees
larger than 90 degrees but smaller than 180
Less than 90 degrees, greater than 0 degrees
Perpendicular
Lines that form a right angle
Right Angle
90 degrees
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…
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
5 terms
geometry flashcards
shapes
polygon
geometrical
geometry
Forms such as circles, squares, triangles, rectangles, etc.
three line segments
describing shapes like squares, rectangles or circles.
the pure mathematics of points and lines and curves and surfa…
shapes
Forms such as circles, squares, triangles, rectangles, etc.
polygon
three line segments
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.
Geometry flashcards
2×2
2×3
2×4
2×5
4
6
8
10
2×2
4
2×3
6
7 terms
Geometry Flashcards
point
line
ray
line segment
.
A long thin mark on a surface
A part of a line, with one endpoint, that continues without e…
not a complete line... part of a line with two endpoints
point
.
line
A long thin mark on a surface
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
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
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…
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
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.
5 terms
Geometry flashcards
parallelograms
Corresponding angles
alternate interior
alternate exterior
Opposite sides are always congruent... opposite sides are parall…
angles that lie on the same side of the transversal and on th…
angles that lie on opposite sides of the transversal between…
angles that lie on opposite sides of the transversal outside…
parallelograms
Opposite sides are always congruent... opposite sides are parall…
Corresponding angles
angles that lie on the same side of the transversal and on th…
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…
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
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
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
Geometry Flashcards
Line
Segment
Ray
Congruent segments
set of points which had infinite length but no width or heigh…
part of a line that consists of two points called endpoints a…
is the of a line that contains an endpoint and all points ext…
segment that has the same length
Line
set of points which had infinite length but no width or heigh…
Segment
part of a line that consists of two points called endpoints a…
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
7 terms
Geometry flashcards
angle
full angle
bisector of an angle
central angle
a figure formed by two rays drawn from the same point.
when angles are added in such a way that the first side of th…
a line or ray that cuts the angle in two equal sizes
The angle formed by two radii of a circle
angle
a figure formed by two rays drawn from the same point.
full angle
when angles are added in such a way that the first side of th…
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…
Geometry Flashcards
midsegment
midpoint
perpendicular bisector
Equidistant
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance
midsegment
Connects the midpoints of two sides in a triangle. It is para…
midpoint
A point that divides a segment into two congruent pieces (in…
Geometry Flashcards
Reflection over the x-axis
Reflection over y-axis
Reflection over y=x
Reflection over y=-x
The x-points stay the same. The y-points change negativity/ p…
The x-values go to the opposite charge. The y-values stay the…
The two points switch places (x,y) = (y,x)
The two points switch places and change charge (x,y)= (-y,-x)
Reflection over the x-axis
The x-points stay the same. The y-points change negativity/ p…
Reflection over y-axis
The x-values go to the opposite charge. The y-values stay the…
5 terms
Geometry flashcards
postulate 3-1 (corresponding angles po…
theorem 3-1 (alternate interior angles…
theorem 3-2 (sameside interior angles…
theorem 3-3 (alternate exterior angles…
if a transversal intersecting two parallel lines, then corres…
if a transversal intersects two parallel lines, then alternat…
if a transversal intersects two parallel lines, then sameside…
if a transversal intersects two parallel lines, then alternat…
postulate 3-1 (corresponding angles po…
if a transversal intersecting two parallel lines, then corres…
theorem 3-1 (alternate interior angles…
if a transversal intersects two parallel lines, then alternat…
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
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…
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
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
7 terms
Geometry Flashcards
If angle A and B are complementary, th…
If angle A and B are supplementary, th…
If Line AB is perp to Line BC, then An…
Vertical Theorem
Definition Of Complementary Angles
Definition of Supplementary Angles
Definition of Perpendicular lines
Vertical angles are congruent
If angle A and B are complementary, th…
Definition Of Complementary Angles
If angle A and B are supplementary, th…
Definition of Supplementary Angles
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
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…
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;…
3 of 10