Home
Subjects
Create
Search
Log in
Sign up
Upgrade to remove ads
Only $2.99/month
Home
Math
Geometry
Geometry Regents Review
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Vocabulary and terms
Terms in this set (146)
acute angle
an angle whose degree measure is less than 90 and greater than 0
acute triangle
a triangle with three acute angles
adjacent angles
two angles with the same vertex, a common side and no interior points in common
altitude
in a triangle, a segment that is perpendicular to the side which it is drawn
angle
the union of two rays that have the same endpoint
angle of rotational symmetry
the smallest positive angle through which a figure with rotational symmetry can be rotated to coincide with itself
apothem
the radius of the inscribed circle of a regular polygon
arc
a part of a circle whose endpoints are two distinct points of the circle
minor arc
an arc with a degree measure less than 180
major arc
an arc with a degree measure greater than 180
biconditional
a statement of the form "p if and only if q" where the statement p is the hypothesis of a conditional statement and statement q is the conclusion. represents the conjunction of a conditional statement and its converse, it is true only when both parts have the same truth values
bisect
to divide into two congruent parts
center of a regular polygon
point in the interior angle of the polygon that is equidistant from each of the vertices, also the common center of its inscribed and circumscribed circles
center-radius equation of a circle
(x-h)^2 + (y-k)^2=r^2
central angle of a circle
an angle whose vertex is at the center of a circle and whose sides contain radii
central angle of a regular polygon
an angle whose vertex is at the center of the polygon and whose sides are drawn to consecutive vertices of the polygon
centroid of a triangle
the point of intersection of the triangle's three medians
chord of a circle
a line segment whose endpoints are points on a circle
circle
the set of points in the plane that are a fixed distance from a given point called the center
circumcenter of a triangle
the center of the circle that can be circumscribed about a triangle, can be located by finding the point of intersection of the perpendicular bisectors of two of its sides
circumscribed circle about a polygon
a circle that has each vertex of a polygon on t
circumscribed polygon about a circle
a polygon that has all of its sides tangent to the circle
collinear points
points that lie on the same line
common external tangent
a line tangent to two circles that does not intersect the line joining their centers at a point between the two circles
common internal tangent
a line tangent to two circles that intersects the line joining their centers at a point between the two circles
complementary angles
two angles whose degree measures add up to 90
composition of transformations
a sequence of transformations in which one transformation is applied to the image of another transformation
concave polygon
a polygon in which there are two points in the interior of the polygon such that the line through them, when extended , intersects the polygon in more than two points, contains at least on interior angle that measures more than 180
concentric circles
circles in the same plane with the same center but unequal radii
conclusion
in a conditional statement of the form "if....then..." the statement that follows "then"
concurrent
when three or more lines intersect at the same point
conditional statement
a statement of the form "if p then q." always true unless the hypothesis is true and the conclusion is false
cone
a solid figure with a circular base and a curved lateral surface that joins the base to a point in a different plane called the vertex
congruent angles
angles that have the same measure
congruent sides
sides that have the same measure
congruent circles
circles with congruent radii
congruent parts
pairs of angles or sides that are equal in measure and, as a result, are congruent
congruent polygons
two polygons that have the same number of sides such that all corresponding sides and corresponding angles are congruent
congruent triangles
two triangles that agree in all of their corresponding parts
conjunction
a statement that uses "and" to connect two other statements called conjuncts, only true when both conjuncts are true
contrapositive
the statement formed by interchanging and then negating the "if" and "then" parts of a conditioinal statement
converse
the statement formed by interchanging "if" and "then"parts of a conditional statement
convex polygon
a polygon for which any line that passes through it, provided the line is not tangent to a side or corner point, intersects the polygon in exactly two points, each interior angle must measure less than 180
coplanar
a term applied to figures that lie in the same plane
corollary
a theorem that is a direct consequence of another theorem and can be easily proved by it
counterexample
a specific example that disproves a statement
cylinder
a solid figure with congruent circular bases that lie in parallel planes connected by a curved lateral surface
deductive reasoning
a logical chain of reasoning that uses general principles and accepted facts to reach a specific conclusion
degree
a unit of angle measurement
diagonal of a polygon
a line segment whose endpoints are two nonconsecutive vertices of the polygon
diameter
a chord of a circle that contains the center of the circle
dilation
a transformation in which a figure is enlarged or reduced in size according to a given scale factor
direct isometry
an isometry that preserves orientation
disjunction
a statement that uses "or" to connect two other statements called disjuncts, true when at least one of the disjuncts is true
edge of a solid
a segment that is the intersection of two faces of the solid
equidistant
a term that means same distance
equilateral triangle
a triangle in which the three sides have the same length
equivalence relation
a relation in which the reflexive symetric and transitive properties hold (example parallelism)
exterior angle of a polygon
an angle formed by a side of the polygon and the extension of an adjacent side of the polygon
externally tangent circles
circles that lie on opposite sides of their common tangent
extremes
the first and last terms of a proportion
frustrum
the part of a cone that remains after a plane parallel to the base of the cone slices off a part of the cone below the vertex
glide reflection
the composite of a line reflection and a translation whose direction is parallel to the reflecting line
great circle
the largest circle that can be drawn on a sphere
hypotenuse
in a right triangle, the side opposite the right angle, the largest side
hypothesis
in a conditional statement of the form "if...then" the statement that follows "if"
image
the result of applying a geometric transformation to an object called the preimage
incenter of a triangle
the center of the inscribed circle of a triangle that represents the common point at which its three angle bisectors intersect
indirect proof
a deductive method of reasoning that eliminates all but one possibility for the conclusion
inductive reasoning
the process of reasoning from a few specific cases to a broad generalization. conclusions obtained through inductive reasoning may or may not be true
inscribed angle
an angle of a circle whose vertex is a point on the circle and whose sides are chords
inscribed circle of a triangle
a circle drawn so that the three sides of the triangle are tangent to the circle
internally tangent circles
tangent circles that lie on the same side of their common tangent
inverse of a statement
the statement formed by negating the "if" and "then" parts of a conditional statements
isometry
a transformation that preserves distance. (reflections, translations, and rotations)
isosceles triangle
a triangle in which two sides have the same length
kite
a quadrilateral in which two pairs of adjacent, not opposite sides are congruent
lateral edge
an edge of a prism or pyramid that is not a side of a base
lateral face
a face of a prism or pyramid that is not a base
leg of a right triangle
either of the two sides of a right triangle that include the right triangle
linear pair
two adjacent angles whose exterior sides are opposite rays
lines of symmetry
a line that divides a figure into two congruent reflected parts
line reflection
a transformation in which each point on one side of the reflecting line is paired with another point on the opposite side of the line
line symmetry
when a figure can be reflected in a line so that the image coincides with the original figure
locus
the set of points, and only those points, that satisfy a given condition
logically equivalent
statements that always have the same truth values
mapping
a pairing of the elements of one set with the elements of another set
mean proportional
when the second and third terms of a proportion are equal, either of these terms is the geometric mean of the first and fourth terms of the proportion
midsegment
the line segment whose endpoints are the midpoints of two sides of a triangle
negation of a statement
the statement with the opposite truth value
noncollinear points
points that so not all lie on the same line
non-Euclidean geometries
geometry systems that do not accept the parallel postulate
orthocenter of a triangle
the point of intersection of the three altitudes of a triangle
parallel lines
coplanar lines that do not intersect
parallelogram
a quadrilateral that has two pairs of parallel sides. opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary and diagonals bisect each other
parallel postulate
Euclid's controversial assumption that through a point not on a line exactly one line can be drawn parallel to the line
perpendicular bisector
a line that is perpendicular to a line segment at its midpoint
point slope equation of a line
y-b=m(x-a)
point symmetry
a figure whose image is the same as the original after it has been rotated 180 degrees
polygon
a closed plane figure bounded by line segments that intersect only at their endpoints
polyhedron
a closed solid figure in which each side is a polygon
postulate
a statement that is accepted as true without proof
preimage
the original figure in a transformation
prism
a polyhedron whose faces, called bases, are congruent polygons ini parallel planes
proportion
an equation that states that two ratios are equal
pyramid
a solid figure formed by joining the vertices of a polygon base to a point in a different plane known as the vertex
Pythagorean theorem
in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs
quadrilateral
a polygon with four sides
ray
part of a line consisting of an endpoint and the set of all points on one side of the endpoint
rectangle
a parallelogram with four right angles
reflection
a transformation that produces an image that is the mirror image of the original object
reflexive property
a quantity is equal to itself
regular polygon
a polygon that is both equilateral and equiangular (square)
rhombus
a parallelogram with four congruent sides
right angle
an angle whose degree measure is 90
right triangle
a triangle that contains a right angle
rotation
a transformation in which a point or figure is turned about a fixed point
rotational symmetry
when a figure can be rotated through a positive angle of less than 360 so that the image coincides with the original figure
scalene triangle
a triangle in which no two sides are congruent
secant line
a line that intersects a circle in two different points
sector of a circle
the interior region of a circle bounded by two two radii and their intercepted arc
segment of a circle
the interior region of a circle bounded by a chord of the circle and its intercepted arc
semicircle
and arc whose degree measure is 180
similar polygons
polygons with the same shape, they have congruent corresponding angles and corresponding sides that are in proportion
skew lines
lines in different planes that do not intersect but are not parallel
slope
a numerical measure of the steepness of a line
slope-intercept form of a line
y=mx+b
sphere
the set of all points in space that are a fixed distance from a given point called the center
square
a parallelogram with four right angles and four congruent sides
substitution property
a quantity may be replaced by its equal in an equation
supplementary angles
two angles whose degree measures add up to 180
symmetric property
if a=b then b=a
tangent circles
circles in the same plane that are tangent to the same line at the same point
tangent of a circle
a line in the same plane as the circle that intersects it in exactly one point
theorem
a mathematical generalization that can be proved
transformation
a change in the position, size or shape of a figure according to some given rule
transitive property
if a=b and b=c then a=c
translation
a transformation in which each point of a figure is shifted the same distance and in the same direction
transversal
a line that intersects two or more other line in different points
trapezoid
a quadrilateral in which exactly one pair of sides is parallel
triangle inequality
in any triangle the length of each side must be less than the sum of the lengths of the other two sides and greater than their difference
truth value
for a statement, either true or false but not both
vertex angle
in an isosceles triangle, the angle formed by the two congruent sides
vertex of a polygon
the point at which two sides of the polygon intersect
vertical angles
opposite pairs of congruent angles formed when two lines intersect
volume
the amount of space a solid figure occupies as measured by the number of nonoverlapping 1x1x1 unit cubes that can exactly fill its interior
THIS SET IS OFTEN IN FOLDERS WITH...
Global Chapter 25
132 terms
Jane Eyre Quiz Ch 11-20 MP 3
22 terms
Geometry
110 terms
Global Chapter 26
123 terms
YOU MIGHT ALSO LIKE...
Geometry Terms (Unit 1-2)
56 terms
Math Terms and such
52 terms
Geometry MP1 Quarterly Review
98 terms
Geometry: EVERYTHING
70 terms
OTHER SETS BY THIS CREATOR
Greek Midterm Vocab (Plato's Hippias Minor and Ion)
60 terms
MUAR Musician names
29 terms
MUAR Final Exam Terms
23 terms
CLAS 322 Vocab 2019
16 terms
OTHER QUIZLET SETS
Geometry Finals
55 terms
Ch. 11-Circles
45 terms
2-Dimensional Figures Review (Quiz Friday April 8)
33 terms
Circles
39 terms