Section 1
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negation also called logical complement
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Last updated
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Date created
Mar 1, 2020
Cards (92)
Section 1
(50 cards)
negation also called logical complement
the negation of a given statement P, denoted by ~P (which is read "NOT P"), makes a claim opposite that of the original statement. If the given statement is true, its negation is false, and vice versa
non coplanar points
points not on the same plane
disjunction
is false only when P and Q are both false ( 4 + 3 = 7 or Cypress College is in the city of Fullerton )
congruents angles
two angles with equal measure
skew
neither parallel nor at right angles to a specified or implied line; askew; crooked.
intuition (based on how you feel)
a sudden insight allows one to make a statement without applying any formal reasoning
a plane is ________ dimensional
two
collinear
point on the same line
lines
a line is an infinite set of points
supplementary angles
two angles whose sum is 180 degrees
How to construct congruent angle
1. Put needle on vertex n draw circle 2. Put needle on outside of circle but extend bigger than vertex, do this both side to get line
congruent angles
two angles that have the same measure
Does the relation "is perpendicular to" have a reflexive property (consider line L)? a symmetric property (consider lines L and M)? a transitive property (consider lines L, M, and N)?
reflexive line cannot be perpendicular to itself. symmetric line can be perpendicular. transitive line cannot be perpendicular because there's no way to make 3 line perpendicular to each other.
give the meaning of CD, CD ^ ----, CD, and CD ^-->
CD^ means line CD CD^ --- means line segment CD CD means the measure or Length of CD^ ---
vertical angles
the nonadjacent angles formed by intersecting lines
Does the relation "is greater than" have a reflexive property (consider real number A)? a symmetric property (consider real numbers A and B)? a transitive property (consider real numbers A, B, and C)?
reflexive # cannot be greater than itself. symmetric # cannot be greater than or less than itself. Only transitive # work because #A can be greater than #B and #B is greater than #C.
bisector
separating into 2 congruent parts
point
point are represented by a dot labeled with a single capital letter
Does the relation "is complementary to" for angles have a reflexive property (consider one angle)? a symmetric property (consider two angles)? a transitive property (consider three angles)?
reflexive angles cannot be complementary. Symmetric angles can be complementary because two angles can add up to be 90 degrees. Transitive angle cannot be complementary because complementary is the combination of 2 angles not three.
circle
collection of point that are equal distance from the center
Symmetric property
Symmetry, same on both side, its symmetrical
adjacent angles
angles who have a common vertex and a common side between them
angle
union of two rays that share an endpoint
postulate
a statement that is assumed to be true
complementary angles
two angles whose sum is 90 degrees
Venn Diagrams
represent the law of detachment
opposite ray
two rays that share a common endpoint
acute angle
measure between 0 and 90 degrees
midpoint
point in the middle
bisect
cut in half
coplanar points
points on the same plane
reflex angle
measures more than 180 degrees
bisected angle
an angle divided into 2 congruent angles
Does the relation "is a brother of" have a reflexive property (consider one male)? a symmetric property (consider two males)? a transitive property (consider three males)?
reflexive brother, one cannot be his own brother. symmetric brother, yes because brother A is a brother to brother B. transitive brothers, Yes because brother A is a brother of Brother B and brother B is a brother of brother C therefore brother A and brother C are also brother.
straight angle
measure 180 degrees *double right angle*
deduction (a law like 1+1=2)
the knowledge and acceptance of selected assumptions guarantee the truth of a particular conclusion
the measure or length of a line segment is a
number
perpendicular lines
perpendicular line form to make 2 congruent adjacent angles
parallel line
two straight line that never intersect
conjunction
is true only when P and Q are both true ( 4 + 3 = 7 and Cypress College is in the city of Cypress )
induction (if u see something that happen a lot u assumes that it will happen again)
using specific observation and experiments to draw a general conclusion
parallel line
lines that lie in the same plane but do not intersect
obtuse angle
an angle that measure between 90 and 180 degrees
segment
a segment is a line that could contain line segment as part of it a straight line
Reflexive property
Mirror or reflection...when A is congruent to itself
if two line intersect, they intersect where?
at a point
Does the relation "is less than" for numbers have a reflexive property (consider one number)? a symmetric property (consider two numbers)? a transitive property (consider three numbers)?
reflexive # cannot be less than itself. symmetric # cannot be less or greater than itself. Only transitive # will work because #A can be less than #B and #B is less than #C.
Transitive property
It keep going..if A=B and B=C and C=D that mean A=D so the first one always equal the last and so does everything in between.
right angle
measure exactly 90 degrees
statement
a set of words and symbols that collectively make a claim that can be classified as true or false
Section 2
(42 cards)