• Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/354

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

354 Cards in this Set

  • Front
  • Back
(n-2)180
The sum of the measures of the angles of an n-gon.
180
The sum of the measures of the angles of a triangle.
3 undefined terms
point
(n-2)180
The sum of the measures of the angles of an n-gon.
180
The sum of the measures of the angles of a triangle.
3 undefined terms
point, line, plane
360
The sum of the measures of the internal angles of a quadrilateral.
60 degrees
The measure of each angle in an equiangular triangle
AAS
Two triangles are congruent if 2 sets of corresponding angles and one set on non-included sides are congruent.
acute angle
an angle whose measure is between 0 and 90 degrees
acute angle
an angle with measure btwn 0* and 90*
Acute Triangle
A triangle whose angles are less than 90 degrees.
acute triangle
a triangle with 3 acute angles
Acute Triangle
A triangle with 3 acute angles
Acute Triangle
A triangle with all acute angles
acute triangle
a triangle with all acute interior angles
acute triangle
a triangle with all sides acute
Acute Triangles
Triangles containing three acute angles
Addition Property
If a=b, the a+c=b+c
Adjacent Angles
2 coplanar angles with a common side, common vertex, and no common interior points
adjacent angles
two angles that share a common vertex and common ray and have interior points in common
adjacent angles
two angles with a common vertex and side but no common interior points
adjacent angles
two coplanar angles with a common side, a common vertex, and no common interior point
adjacent arcs
arcs of the same circle that have exactly one point in common
adjacent arcs
arcs on the same circle and have exactly one point in common
adjacent sides
2 sides of a triangle with a common vertex
alternate exterior angles
2 angles that are formed by 2 lines and a transversal and that lie outside the 2 lines on opposite sides of the transversal
Alternate Exterior Angles
Congruent when lines are parallel.
alternate interior angles
2 angles that are formed by 2 lines and a transversal and that lie between the 2 lines on opposite sides of the transversal
alternate interior angles
both on interior, opposite sides of transversal, non adjacent
Alternate Interior Angles
Congruent when lines are parallel.
Alternate Interior Angles
Non adjacent interior angles that lie in opposite sides of the transversal
alternate interior angles
nonadjacent interior angles that lie on opposite sides of the transversal
altitude (prism)
a perpendicular segment that joins the planes of the bases
altitude of a parallelogram
any segment perpendicular to the line containing the base drawn from the side opposite the base
altitude of a triangle
the perpendicular segment form a vertx to the line containing the opposite side
altitude of an equilateral triangle
h=½s√3
altitude
a segment perpendicular to the line containing that base drawn from the side opposite the base
Altitude
A special segment of a triangle that drops from a vertex of the triangle perpendicular to the opposite side
altitude
line segment from a vertex of a triangle perpendicular to the opposite side
Altitude
Segment from a vertex that is perpendicular to opposite side
Altitude
The segment extended from a vertex of a triangle,perpendicular to the opposite side
Angle Addition Postulate
m<AOB+m<BOC=m<AOC
Angle Angle Side
AAS or SAA
angle bisector
a ray that divides an angle into two adjacent angles that are congruent
Angle Bisector
A ray that divides an angle into two congruent coplanar angles
angle bisector
a ray that divides an angle into two congruent parts
angle bisector
a ray, segment, or line that divides an angle into two congruent angles
Angle Bisector
A special segment of a triangle that cuts an angle of the triangle into two equal parts
Angle Bisector
Bisects an angle into 2 congruent angles
angle of depression
the angle formed by a horizontal line and the line of sight to an object below the horizontal line
angle of elevation
the angle formed by a horizontal line and the line of sight to an object above the horizontal line
Angle Side Angle
ASA
angle
consists of two different rays that have the same initail point
angle
formed by two rays with the same endpoint
angle
the union of 2 rays that have a common endpoint called a vertex
angle
two rays that share a common end point
any two points are collinear
axiom
apothem of a regular polygon
the distance from the center to a side
apothem
a segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon
arc length
a fraction of the circumference
arc
part of the circle
area of a circle
A=πr²
area of a parallelogram
A=bh or A=ab(sin(C))
area of a rectangle
A=ab
area of a right triangle
A=½(ab)
area of a semicircle
A=½πr²
area of a sphere
4 pi r squared
area of a square
A=s² or A=½d²
area of a trapezoid
A=½h(B+b)
area of a triangle
A=½(bh) or A=.5(ab)sin(C)
area of an equilateral triangle
A=¼s²√3
ASA
Two triangles are congruent if 2 sets of corresponding angles and their included side are congruent.
Axiom
a mathematical statement which we except as true because no counter example exists
axiom
a statement that we can accept as true
base angle
an angle of an isosceles triangle opposite one of the equal sides
base angle
two angles that share a base of a trapezoid
Base Angles Converse
If two angles of a triangle are congruent, then the sides opposite to them are congruent
Base Angles Theorem
If two sides of a triangle are congruent, then the angles opposite to them are congruent
base angles
other angles (isosceles triangle)
base of a parallelogram
any of its sides
base of a parallelogram
any side of a parallelogram
base of a triangle
any side of a triangle
base
(no definition)
base
the third side
bases
parallel faces
between
a point that lies on the same line and "between" two other points
BiConditional
p<->q(Conditional must be true & converse must be true) (if and only if)
biconditional
the conjunction of p->q and q->p in words: if and only if
biconditional
when a conditional and its converse are true and you combine them, the joining of the conditional and converse (if p, then q and if q the p) (P<->q)
bisect
to divide into two congruent parts
center of a circle
a point equidistant from any point on the circumference of a circle
center of a regular polygon
the center of the circumscribed circle in a regular polygon
center of a sphere
a set point in space where all points of a sphere are equidistant from it
center
the given point
central angle (circle)
angle whose vertex is the center of the circle
central angle (regular polygon)
angle formed by two consecutive radii
central angle
an angle formed by two consecutive radii
central angle
vertex is center, sides are radii
Centroid
Point of Concurrency for Median
centroid
point of concurrency of the three medians of a triangle
Centroid
The point formed by the medians
centroid
the point of congruency of the medians, in a triangle
chord
a segment whose endpoints are on a circle
chord
a segment whose endpoints are on the circle
chord
a segment with endpoints on the circle
circle
the set of all points equidistant form a given point on a plane
circle
the set of all points in a plane that are a given distance
circle
the set of all points in a plane that are a given distance from a given point
circumcenter of the triangle
the point of concurrency of the perpendicular bisectors of a triangle
Circumcenter
Point of Concurrency for Perpendicular Bisector
circumcenter
the point of concurrency of the three perpendicular bisectors of the sides of a triangle
circumference of a sphere
the circumference of any great circle of the sphere
circumference of circle
the distance around a circle
circumference or a circle
C=πd or C=2πr
circumference
2 (pi) r
circumference
the distance around the circle
circumscribed about
a circle is __ __ a polygon if the vertices of the polygon are on the circle
circumscribed about
when the vertices of the polygon are on the circle
circumscribed about
when the vertices of the polygon are on the circle
collinear points
points that lie on the same line
collinear
a set of points that lie on a common line
collinear
points that are on the same line
Collinear
Points that lie on the same line
collinear
two or more points that lie on the same line
compass
geometric tool used to draw circles and archs
Complementary Angles
2 angles that add up to the sum of 90
complementary angles
2 angles whose measures add up to 90 degrees
complementary angles
two angles whose measures have the sum of 90
complementary angles
two angles whose measures have the sum of 90*
composite space figure
a three-dimensional figure that is the combination of two or more simpler figures
composition
a combination of two or more transformations
concave polygon
has at least one diagonal with points outside the polygon
Concave Polygon
Polygon that has at least one diagonal with points outside the polygon
concentric circles
circles that lie in the same plane and have the same center
concentric circles
circles that lie in the same plane and have the same center
conclusion
the part following "then", logical inference
Concurrent Lines
3 or more lines that intersect at the same point. ** The point is called the Point OF Concurrency**
concurrent
when three or more lines intersect in one point
conditional
a compound statement of the form "if p, then q" p is called the hypothesis and q is called the conclusion
Conditional
an if-then statement.
conditional
another name for an if-then statement
cone
"pointed like a pyramid", but its base is a circle
cone
a 3D figure with a circular base, a vertex not in the plane of the circle, and a curved lateral surface. it is NOT a polyhedron
Congruence Transformation
Either a translation, reflection, or rotation
Congruent Angle
Angles with the same measure
congruent angles
angles that have the same measure
congruent angles
angles with the same measure
congruent angles
two angles that have the same measure
congruent arcs
arcs that have the same measure and are in the same circle or congruent circles
congruent arcs
arcs that have the same measure and are in the same circle or in congruent circles
congruent circles
circles whose radii are congruent
congruent circles
circles whose radii are congruent
Congruent Polygon
Polygon with congruent corresponding parts-matching sides and angles
congruent polygons
have congruent corresponding parts
Congruent Polygons
Two geometric figures that are congruent if they have exactly the same size and shape
Congruent Segments
Segments with the same length
congruent segments
two segments that have the same measure
congruent segments
two segments with the same length
congruent triangles
2 triangles are congruent if and only if all pairs of corresponding sides and angles are congruent
conjecture
a conclusion you reach using inductive reasoning
conjecture
an unproven statement that is passed on observations
conjunction
a compound statement formed by joining two statements using "and"
consecutive angles
angles of a polygon that share a side (parallelogram-consecutive angles are supplementary)
consecutive interior angles
2 angles that are formed by 2 lines and a transversal and that lie between the 2 lines on the same side of the transversal
construction
use a straight edge and a compass to draw a geometric figure
contrapositive
a statement that negates the hypothesis and the conclusion and switches their orders of the original statement
contrapositive
Given: If P then Q. Therefore if not Q then not P
Contrapositive
~q -> ~p
converse
a statement that switches the order of the hypothesis and the conclusion of the original statement
Converse
q -> p (Conclusion to Hypothesis)
converse
switches the hypothesis and the conclusion
convex polygon
has no diagonal with points outside the polygon
Convex Polygon
Polygon that has no diagonal with points outside the polygon
Coordinate Notation
When figures are drawn on a coordinate plane, you can use this to describe a translation or reflection
coordinate
the real number that corresponds to a point on a line
coplanar points
points that lie on the same plane
Coplanar
Points and lines that is on the same plane
coplanar
points on the same plane
coplanar
two or more points on the same plane
Corollary to Base Angles Converse
If a triangle is equiangular, then it is equilateral
Corollary to Base Angles Theorem
If a triangle is equilateral, then it is equiangular
Corollary to Triangle Sum Theorem
The acute angles of a right triangle are complementary
corollary
a statement that follows immediately form a theorem
Corollary
A statement that follows immediately from a theorem
Corresponding Angles
Congruent when lines are parallel.
corresponding angles
lie on the same side of the transversal, separated by two lines, same side on each line
Corresponding Angles
Non adjacent angles, only one interior , that lie on the same side of the transversal
corresponding angles
two angles that are formed by two lines and a transversal and occupy corresponding positions
cosine
the ratio of the adjacent leg over the hypotenuse of an angle
counter example
an example that shows a conjecture is false
Counter-example
Statement that proves the conditional is false(MUST be 1). True for hypothesis AND 2) FALSE for conclusion
counterexample
an example for which the conjecture is incorrect
CPCTC
Corresponding Parts of Congruent Triangles are Congruent.
CPCTC
corresponding parts of congruent triangles are congruent
cross section
the intersection of a solid and a plane
cross section
the intersection of a solid and a plane
cube
a polyhedron with six faces, each of which is a square
cylinder
a 3d figure with 2 congruent circular bases that lie in parallel planes
Decagon
Polygon with 10 sides
deductive reasoning
a conclusion made by using a series of truth statements and laws of reasoning
definition
uses known words to describe a new word
degree
1/360 of a complete rotation
degrees
a way to measure an angle
diagonal of a rectangular box
square root L2+w2+h2
diagonal of a square
d=s√2
Diagonal
Segment that connects 2 nonconsecutive vertices
diameter (circle)
a segment that contains the center of a circle and whose endpoints are on the circle
diameter of a sphere
a segment passing through the center, with endpoints on the sphere
diameter
a segment that contains the center of the circle and whose endpoints are on the circle
diameter
chord that passes through the center of the circle
dilation
transformation whose image and object are similar. NOT an isometry., The transformation of a figure to a similar figure of different size.
disjunction
a compound statement formed by joining two statements using "or"
distance formula
-
distance from a point to a line
the length of the perpendicular segment from the point to the line
distance
the distance between 2 points
Distributive Property
a(b+c) = ab +ac
Division Property
If a=b,then a/c=b/c
Dodecagon
Polygon with 12 sides
edge
a segment that is formed by the intersection of two faces
edge
the intersection of the faces of the polyhedron
enlargement
gets larger
equiangular polygon
a polygon whose angles are all congruent
Equiangular Polygon
all congruent ANGLES
Equiangular Triangle
A triangle whose angles are congruent.
equiangular triangle
a triangle with 3 congruent angles.
Equiangular Triangle
A triangle with 3 congruent angles
Equiangular Triangle
A triangle with equal angles
Equilangular Triangles
Triangle with all congruent angles
equilateral polygon
a polygon whose sides are all congruent
Equilateral Polygons
all congruent SIDES
Equilateral Triangle
A triangle whose sides are congruent.
equilateral triangle
a triangle with 3 congruent sides
Equilateral Triangle
A triangle with 3 congruent sides
Equilateral Triangle
A triangle with all sides congruent, a three-sided regular polygon
Equlilateral Triangles
Triangle with all congruent sides
Exterior Angle Theorem
The exterior angle of a triangle is equal to the sum of its remote interior angles.
Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two non-adjacent interior angles
Exterior angle
upon extending a side of a triangle, the angle adjacent to interior angle of triangle
Exterior Angles
Angle formed by a side and an exterior of an adjacent side
exterior angles
angles that are adjacent to the interior angles
Exterior Angles
The angles that form linear pairs with the interior angles
exterior of an angle
all points not on the angle or in its interior
face
each polygon
face
the surfaces of a polyhedron
foundation drawing
shows the base of a structure and the height of each part
foundation drawing
shows the base of a structure and the height of each part
geometric mean
the number (x) such that a/x = x/b, where a,b, and x are positive numbers
geometric mean
the number x such that a/x = x/b, where a and b are both positive numbers, x = (square root of AB)
geometric probability
a probability that uses a geometric model in which points represent outocmes
Geometry
The Study Of Earth
glide reflection
the composition of a glide (translation) and a reflection in a line parallel to the glide vector
glide reflectional symmetry
a glide reflection maps the tessellation onto itself
golden ratio
1.618 : 1
golden rectangle
a rectangle that can be divided into a square and a rectangle that is similar the the origional retangle
great circle
the intersection of a sphere and the plane containing the center of the sphere. divides a sphere into 2 hemispheres.
great circle
when the center of the circle is also the center of the sphere
height (prism)
the length of an altitude
height of a parallelogram
the length of a parallelogram's altitude
height of a trapezoid
the length of a trapezoid
height of a triangle
the length of the altitude drawn to the line containing that base
height of prism
length of the altitude
height
the length of the altitude
hemisphere
half of a great circle
Hexagon
Polygon with 6 sides
HL
2 right trianles are congruent if their hypotenuses and a set of corresponding legs are congruent.
Hypotenuse Leg Theorem
HL
hypotenuse
c²=a²+b²
hypotenuse
in aright triangle the side opposite the right angle
hypotenuse
the longest side in a right triangle
Hypotenuse
The longest side of a right triangle
hypothesis
the part following "if"
identity
an equation that is true for all allowed values of the variable
image
resulting figure
incenter of the triangle
the point of congruency of the angle bisectors of a triangle
Incenter
Point of Concurrency for Angle Bisector
incenter
the point of concurrency of the angle bisectors of all angles in the triangle
included angle
given 2 sides in a triangle, the included angle is the angle whose rays contain the two sides
included side
given 2 angles in a triangle, the included side is the side whose endpoints are the vertices of the angles
indirect measurement
a way of measuring things that are difficult to measure directly
inductive reasoning
a general truth that we conclude by looking at a series of examples
inductive reasoning
process that includes looking for patterns and making conjectures
inductive reasoning
reasoning based on patterns you observe
initial point
where the vector starts
inscribed angle
an angle in a circle where the vertex of the angle is on the circle and the sides are chords of the circle
inscribed angle
when the vertex of the angle is on the circle and the sides of the angle are chords of the circle
inscribed in
sides of the polygon are tangent to the circle
inscribed in
when the sides of the polygon are tangent to the circle
intercepted arc
an arc of a circle having endpoints on the sides of an inscribed angle, and its other pints in the interior of the angle
intercepted arc
an arc of a circle having endpoints on the sides of an inscribed angle, and its other points in the interior of the angle
interior angles
the 3 original angles of a triangle
Interior Angles
The original angles
interior of an angle
all points btwn the points that lie on each sides of the angles
intersect
to have one or more points in common
intersection
the set of points that two or more geometric figures have in common
intersection
two geometric figures points in common
inverse
a statement that negates both the hypothesis and the conclusion of the original statement
inverse
negates both the hypothesis and the conclusion
Inverse
~p -> ~q (~ = not)
isometric drawing
shows a corner view of a figure
isometry
a transformation in which the pre-image and image are congruent
Isosceles Trapezoid
A quadrilateral with exactly one pair of opposite sides parallel and whose nonparallel sides are congruent
isosceles trapezoid
nonparallel opposite sides are congruent
Isosceles Triangle Theorem
The base angles of an isosceles triangle are congruent
Isosceles Triangle
A triangle that has at least two sides congruent.
Isosceles Triangle
A triangle with 2 (at least) congruent sides
isosceles triangle
a triangle with at least 2 congruent sides
Isosceles Triangle
A triangle with at least two congruent sides
isosceles triangle
a triangle with at least two congruent sides
isosceles triangle
triangle with two congruent segments
Isosceles Triangles
Triangle with at least 2 sides
Kite
A quadrilateral with 2 pairs of adjacent sides congruent and no congruent opposite sides
kite
quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent
LA of cone
pi r l (slant height)
LA of cylinder
2 pi r h
LA of prism
ph
LA of pyramid
1/2 pl (l=slant height)
lateral area
the sum of the areas of the lateral faces
lateral area
the sum of the areas of the lateral faces or the curved surface of a 3d figure.
lateral faces
the faces that are not the base of a parallelogram
lateral faces
the other faces
legs
the congruent sides of an isosceles triangle
legs
the sides of a triangle
length of a semicircle
L=½πd or L=πr
length of hyotenuse
c=√a²+b²
line segment
part of a line with two endpoints
line segment
parts of a line that consists of 2 points, called endpoints, and all points on the line that are btwn the endpoint
line segment
point of a line consisting of two points on the line called endpoints and all the points between them
line symmetry
reflectional symmetry (like a butterfly)
line
(undefined) a set of points in a plane that satisfy the same linear relationship (extend in opposite directions without end)
line
a line extends in one dimension
Line
A Series of points that extend in opposite directions without a end
line
a set of points that extends forever in 2 opposite directions
line
an infinitely long infinitely thin straight path
linear pair
two adjacent angles that form a straight line
linear pair
two adjacent angles whose noncommonsides are opposite rays
linear pair
two angles form this if and only if they are adjacent angles whose noncommon sides are opposite rays
locus
a set of points, all of which meet a stated condition
logically equivalent
two statements whose truth value are always the same
Longest Side
The side of the triangle that is opposite the largest angle
magnitude
size
major arc
an arc of a circle larger than a semicircle
major arc
an arc that is larger than a semicircle
mean proportional
a proportion whose means are equal
median of a triangle (1)
a segment whose endpoints are a vertex and the midpoint of the opposite side
Median
A segment whose endpoints are the vertex and the midpoint of the opposite side
Median
A special segment of a triangle that connects a vertex of the triangle to the midpoint of the opposite side
median
line segment from a vertex of a triangle to the midpoint of the opposite side
Median
Segment from a vertex to the midpoint of opposite side
Mid segment of a trapezoid
A segment that connects the midpoints of nonparallel sides of a trapezoid
Mid segment of a Triangle
A segment connecting the midpoints of 2 sides
Mid-segment
A special segment of a triangle that connects the midpoints of two sides of the triangle
midpoint formula
-
midpoint
a point on a line segment that cuts it into two congruent segments