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86 Cards in this Set

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Distance from a point to a line
The length of the perpendicular segment from the point to the line
octagon
an 8-sided polygon
measure of an angle
The smallest amount of rotation neccessary to rotate from 1 of an angle to the other.
congruent polygons
2 polygons are congruent polygons only if all their corresponding angles are congruent and all their corresponding sides are congruent
congruent segments
2 segments are congruent segments only if they have the same measure
parallelogram
A quadrilateral in which both pairs of opposite sides are paralell
Congruent
2 geometric figures are congruent if and only if they are identical in shape and size.
square
an equiangular rhombus or an equilateral rectangle
degree
A unit of measure for angles
*solid of revolution
*A 3-Dimensional figure formed by spinning a 2-D figure about a line
congruent angles
2 angles are congruent only if they have the same measure
consecutive vertices
2 vertices of a polygon connected by a side
angle bisector
a ray that has an endpoint on the vertex of an angle and that divides the angle into 2 angles of equal measure
line segment
2 points and all the points between them that lie on the line containing the 2 points. The 2 points are called endpoints of the line segment.
hexagon
A 6-sided polygon
coplaner points
2 or more points that lie on the same plane
heptagon
a 7-sided polygon
*Mathematical model
An abstraction of a real-world problem into a mathematical problem. Creating a mathematical model can involve making assumptions and simplifications; creating geometric figures, graphs, and tables; or finding equations that approximate the behavior of a real event. *The mathematical problem can be solved. When the solution is interpreted it may provide a solution to the real world problem.
*Section
*The plane figure that results when a solid is cut by a plane.
*Euler line
*The line through a triangle's circumcenter, orthocenter, and centroid; named after a Swiss mathematician and physicist Leonhard Euler.
diagonal of a polygon
A segment connecting 2 non consecutive vertices
orthocenter
The point of concurrency of the 3 altitudes (or of lines through the altitudes) of a triangle
regular polygon
a polygon that is both equiangular and equilateral
*Inscribed circle in a polygon
*A circle that touches each side of a polygon at exactky one point. The polygon is CIRCUMSCRIBED about the circle.
Kite
A quadrilateral with exactly two pairs of distinct congruent consecutive sides.
circumcenter
The point of concurrency of the 3 perpendicular bisectors of the sides of a triangle.
perimeter
of a polygon
*Circumscribed circle about a polygon
*A circle that passes through each vertex of a polygon. The polygon is INSCRIBED about the circle.
rectangle
an equiangular paralellogram
point
An undefined term. The basic unit of geometry. It has no size, is infinitely small, and has only location.
isoscles triangle
a triangle with at least 2 sides the same length
line
an undefined term. A straight arrangement of points. There are infinitely many points in a line. A line has an infinite length but no thickness and extends forever in 2 directions
decagon
a 10 sided polygon
definition
A statement that clarifies or explains the meaning of a word or phrase.
*Venn diagram
*Acircle diagram that may be used to show the relationships among members of different sets.
Incenter
The point of concurrency of the 3 angle bisectors in a triangle
right triangle
a triangle with exactly 1 right angle
centroid
the point of concurrency of the 3 medians of a triangle
consecutive sides
2 sides of a polygon that share a common vertex
collinear points
2 or more points that lie on the same line
equilateral polygon
a polygon whose sides are equal in measure
Perpendicular bisector
A line that divides a line segment into 2 congruent parts (bisects it) and that is also perpendicular to the line segment
dodecagon
a 12-sided polygon
space
the set of all points
perimeter of a polygon
The sum of the lengths of the sides of a polygon
plane
an undefined term. A plane has length and width but no thickness. It is a flat surface that extends forever.
undecagon
an 11-sided polygon
angle
2 rays that share a common endpoint, provided that the 2 rays do not lie on the same line.
*tree diagram
*A concept map in the form of the branches of a tree. It can be used to show relationships among members of a family, for example.
Concurrent lines (segments or rays)
Lines, segments, or rays that lie in the same plane are CONCURRENT if and only if they intersect in a single point. The point of intersection is the POINT OF CONCURRENCY
equiangular polygon
a polygon whose angles are equal in measure
ray
ray AB is part of AB that contains A and all the points on AB that are on the same side of A as B. Point A is the endpoint of AB.
n-gon
An n-sided polygon
counterexample
An example that proves a statement wrong.
*Locus of Points
*The set of all points in a plane that satisfy some given property or condition.
skew lines
Lines that are not on the same plane and that do not intersect
nonagon
a 9-sided polygon
right angle
an angle whose measure is 90'
scalene triangle
a triangle with 3 sides of different lengths
supplementary angles
2 angles whose measures have the sum of 180'
perimeter
of a polygon
midpoint of a segment
If x is the midpoint of AB, then x is a point on AB such that AX=XB
obtuse triangle
a triangle with exactly 1 obtuse angle
complementary angles
2 angles whose measures have the sum of 90'
height of an isosceles triangle
the length of the altitude
obtuse angle
an angle whose measure is more than 90'
acute triangle
a triangle with 3 acute angles
polygon
a closed geometric figure in a plane in which line segments connect endpoint to endpoint and each segment intersects exactly 2 others
consecutive angles
2 angles of a polygon that share a common side
acute angle
an angle whose measure is less than 90'
median of a triangle
a segment connecting the midpoint of a side to the opposite vertex
linear pair of angles
If X,Y,and Z are consecutive colinnear points and W is a point not on XZ, then <XYW and <WYZ form a linear pair of angles.
trapezoid
a quadrilateral with exactly one pair of parallel sides
pentagon
a five sided polygon
parallel lines
2 or more lines that lie in the same plane and that do not intersect
altitude of a triangle
a perpendicular segment from a vertex to the opposite side or the line containing the opposite side.
perpendicular lines
2 lines that intersect to form a right angle
Segment Bisector
A line that passes through the midpoint of a segment
vertical angles
the opposite angles formed by intersecting lines
rhombus
An equilateral parallelogram
vertex of a polygon
each endpoint where the sides of a polygon meet
side of a polygon
each line segment of a polygon
*convex polygon
*A polygon in which no segment connecting 2 vertices is outside the polygon
*concave polygon
*a polygon in which no segment connecting two vertices is outside the polygon
triangle
a 3-sided polygon
quadrilateral
a 4-sided polygon