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
115 Cards in this Set
 Front
 Back
 3rd side (hint)
Conditional Statement

A statement written in ifthen format

"____ blah___ yada"


Hypothesis

the "if" part of a conditional statement

blah


Conclusion

the "then" part of a conditional statement

yada


Converse

The if and then parts of a conditional statement are reversed

"If____ then _____"


Inverse

The negation of the hypothesis and clonclusion of a conditional (original) statement.

"If not____ then _____ yada"


Contrapositive

The negation of the hypothesis and conclusion of a converse statement

"If not ____ then not____"


Counterexample

An example that proves a statement false.

None


Point

Basic unit of Geometry; Has no size; Represented by a dot; Labeled by a capital letter.

.


Line

A straight srrangement of points; Infinite number of points; Infinite length; No thickness

<>


Plane

Has length, width, but no thickness; extends forever

_________
/ / /________/ 

Space

The set of all points

_________
/ . / /_.______/ 

Congruent

Two figures that have the exact same size and shape

None


Midpoint

Apoint that lies on the segment and is equal distance from each endpoint.

000


Ray

A part of a line consisting of one point an all points on one side of the line from that point.

0>


Segment

Part of a line that has two endpoints and contains all of the points in between the two endpoints.

00


Conditional Statement

A statement written in ifthen format

"____ blah___ yada"


Hypothesis

the "if" part of a conditional statement

blah


Conclusion

the "then" part of a conditional statement

yada


Converse

The if and then parts of a conditional statement are reversed

"If____ then _____"


Inverse

The negation of the hypothesis and clonclusion of a conditional (original) statement.

"If not____ then _____ yada"


Contrapositive

The negation of the hypothesis and conclusion of a converse statement

"If not ____ then not____"


Counterexample

An example that proves a statement false.

None


Point

Basic unit of Geometry; Has no size; Represented by a dot; Labeled by a capital letter.

.


Line

A straight srrangement of points; Infinite number of points; Infinite length; No thickness

<>


Plane

Has length, width, but no thickness; extends forever

_________
/ / /________/ 

Space

The set of all points

_________
/ . / /_.______/ 

Congruent

Two figures that have the exact same size and shape

None


Midpoint

Apoint that lies on the segment and is equal distance from each endpoint.

000


Ray

A part of a line consisting of one point an all points on one side of the line from that point.

0>


Segment

Part of a line that has two endpoints and contains all of the points in between the two endpoints.

00


Collinear

POints that lie on the same plane.



Coplanar

points that lie in the same plane



Axiom

a statement that is accepted without proof.



Postulate

same as an axiom



Theorem

a statement that can be proven



Conjecture

a generalization made through inductive reasoning.



Angle

two rays that share a common endpoint, provided the two rays do not lie on the same line



Degree

unit of measurement for an angle



Protractor

tool used to measure angles



Vertex

the common endpoint of the two rays that form an angle.



Sides of an ANgle

the two rays that form an angle.



Acute

an angle that measures less than 90 degrees, but more than 0 degrees



Obtuse

and angle that measure more than 90 degrees, but less thatn 180 degrees.



Right

and angle that measure exactly 90



Supplementary

two angles whose sum is 180 degrees



Complementary

two angles whose sum is 90 degrees



System of Equations

Two or more equations that state relationships between the same variables



Vertical Angles

If line AB and CD intersect at point, P, then APC and BPD are vertical angles.



Angle Bisector

A ray that has an endpoint on the vertex of an angle, and that divides the angle into two congruent angles.



Parallel Lines

Two or more coplanar lines that do not intersect.



Skew Lines

Two noncoplanar lines that do not intersect.



Perpendicular Lines

Two lines that intersect to form a right angle.



Adjascent Angles

two angles that share a common vertex, a common side but no common interior points.



Trasversal

a line that intersects two coplanar lines in two different points.



Alternate Interior Angles

opposite sides of the transversal they are interior and not adjascent.



Corresponding Angles

same relative position different vertex



Consecutive Interior Angles

nonadjascent/in the interior of the parallel lines/same side as the transversal



Domain

the input values of a function

Set of all possiblke xvalues (independent variable)


Range

the output values of a function

Set of all yvalues you get when you plug in the domain (dependent variable)


Rate of Change

the difference of the yvalues divided by the difference of the xvalues

y2y1 divided by x2x1
Rise over run 

Complementary

two angles whose sum is 90 degrees



System of Equations

Two or more equations that state relationships between the same variables



Vertical Angles

If line AB and CD intersect at point, P, then APC and BPD are vertical angles.



Angle Bisector

A ray that has an endpoint on the vertex of an angle, and that divides the angle into two congruent angles.



Parallel Lines

Two or more coplanar lines that do not intersect.



Skew Lines

Two noncoplanar lines that do not intersect.



Perpendicular Lines

Two lines that intersect to form a right angle.



Adjascent Angles

two angles that share a common vertex, a common side but no common interior points.



Trasversal

a line that intersects two coplanar lines in two different points.



Alternate Interior Angles

opposite sides of the transversal they are interior and not adjascent.



Corresponding Angles

same relative position different vertex



Consecutive Interior Angles

nonadjascent/in the interior of the parallel lines/same side as the transversal



Domain

the input values of a function

Set of all possiblke xvalues (independent variable)


Range

the output values of a function

Set of all yvalues you get when you plug in the domain (dependent variable)


Rate of Change

the difference of the yvalues divided by the difference of the xvalues

y2y1 divided by x2x1
Rise over run 

Midpoint

average point

(x1+x2 /2,y1+y2 /2)


Polygon

a closed geometric figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others



Side

a line segment of a polygon



Vertex (sin.)
Vertices (plu.) 
an endpoint where the sides of a polygon meet



Convex Polygon

a polygon where no segment connecting two vertices is outside the polygon



Concave Polygon

a polygon in which at leasy one sement connecting two vertices is outside the polygon



Classifying Polygons

polygons are classified according to the njmber of sides they have
# sides = # vertices = # interior angles 


Triangle

a threesided polygon



Quadrilateral

a foursided polygon



Pentagon

a fivesided polygon



Hexagon

a sixsided polygon



Heptagon

a sevensided polygon



Octagon

an eightsided polygon



Nonagon

a ninesided polygon



Decagon

a tensided polygon



Undecagon

and elevensided polygon



Dodecagon

a twelvesided polygon



Ngon

A polygon with n number of sides



Consecutive

Where numbers, letters or figures are next to or touching each other



Labeling (Naming) polygons

Polygons are labeled (named) byt listing the capital letters of the vertices in consecutive order



Consecutive vertices

two vertices of a polygon connected by a side



Consecutive sides

two sides which share a commone vertex



Consecutive Anglesq

two angles which share a common side



Congruent polygons

two or more polygons are congruent if and only if they have the same size and shape. The correspoding angles and sides are congruent.



Perimeter

The sum of the lengths of the sides of a polygon



Diagonal of a Polygon

A segment is a diagonal if and only if it connects any two nonconsecutive vertices



Equilateral Polygon

A polygon is equilateral if and only if all of it's sides are congruent



Equiangular Polygon

A polygon is equilangular if and only if all of it's sides are congruent



Regular Polygon

a polygon is regulr if and only if it is both equilateral and equiangular



Midsegment of a Triangle

a polygon is regular if and only if it is both equilateral and equiangular



Right Triangle

a triangle is right if and only if it has on right angle



Acute Triangle

a triangle is acute if and only if all of its angles are acute



Obtuse Triangle

a triangle is obtuse if and only if it has one obtuse angle



Scalene Triangle

a triangle is scalene if and only if none of its sides are congruent



Isosceles Triangle

a triangle is isosceles if and only if at least two of its sides are congruent



Vertex Angle

an angle is a vertex angle of an isosceles triangle if and only if it is between the two congruent sides



Base

a segment is a base an isosceles trianle if and only if it is opposite the vertex angle



Base Angles

two angles are base angles of an isosceles triangle if and only if they are opposite the two congruent sides



Medians of a Triangle

a segment is a median if and only if it connects a vertex to the midpoint of the opposite side



Height

The length of the altitude

