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explain similar figures in similarity similar figures are figures that have the same shape but not necessarily the same size so the image of a figure
what is congruent angles in parallel lines postulate 41 the parallel postulatethrough a given point not on a line there is exactly one line parallel
what is angle pairs in parallel lines next we introduce several angle pairs formed by transversals which are very important in our study of
q addition involving negative numbersanswhen you add together positive and negative numbers there are essentially three possibilities that you can
sheldon as the day for the challenge gets closer wants to enter the race not being content with an equal start he wants to handicap himself by giving
q example of negative numberif you take an elevator 8 stories down what would be the opposite of thisthe opposite would be that you take the
q what is a negative numberansnegative numbers are very important in mathematics we say that positive and negative numbers are opposites of
q illustrate field properties of numbersanswhat the associative law of addition states is this for any numbers a b and
q what is a percentageanspercent means per hundred or out of 100 a percentage can be written as a ratio or fraction where the denominator bottom
q what are complex numbersanscomplex numbers are numbers of the form a bi where a and b are real numbers and i is a special number called the
q describe real numbersansthere are a few different ways to describe real numbers without going into any of the very technical definitions used by
q diffrence between rational and irrational numbersansa number which is not rational is called irrational the word irrational sounds not quite
q give basic diffrence between integers and rational numbersansintegersthe integers are positive and negative whole numbersthe integers are closed
q what are whole numbersthe set of whole numbers is the set of natural numbers with the zero thrown in01234hint some people remember that the whole
q define natural numbersansthe natural numbers also called the counting numbers are the numbers that you naturally use for counting1234the set of
q scaling and translation for equationsansif you have an equation in the form y fx if youre not familiar with functions that just means having y on
q how to left shifts and right shifts a graphanswhen youre translating shifting a graph its easy to get subtracting and adding mixed up it seems
explain angle pairs adjacent angle pairstwo angles are adjacent if they1 have the same vertex2 share a common side 3 have no interior points in
prove the subsequent boolean expressionxory and xory and xorz xandzans in the following expression lhs is equal to xoryandxor yandx or z
give the proofs in mathematics 1 two-column deductive proofproofstatements
what is converse inverse and contrapositivein geometry many declarations are written in conditional form if then for example if two angles are right
let r be the relation on the set of ordered pairs of positive integers such that a b c d isin r if and only if ad bc determine whether r is an
q how to collecting and interpreting dataanscollecting and interpreting data is the most important job of a statistician there are many types of
what is deductive reasoning geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of
prove that if x is a real number then 2x x x frac12 ans let us consider x be any real number it comprises two parts integer and fraction with no