Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
86 Cards in this Set
 Front
 Back
Distance from a point to a line

The length of the perpendicular segment from the point to the line


octagon

an 8sided 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 3Dimensional figure formed by spinning a 2D 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 6sided polygon


coplaner points

2 or more points that lie on the same plane


heptagon

a 7sided polygon


*Mathematical model

An abstraction of a realworld 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 12sided 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 11sided 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.


ngon

An nsided 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 9sided 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 3sided polygon


quadrilateral

a 4sided polygon
