MATH-UA 121 Lecture 9: Addition Postulate
20 Sep 2016
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Addition postulate - if equal quantities are added to equal quantities, the sums are equal. If a=b & c=d, then a+c = b+d. Subtraction postulate - if equal quantities are subtracted from equal quantities, the differences are equal. If a=b & c=d, then a-c = b-d. Multiplication postulate - if equal quantities are multiplied by equal quantities, the products are equal. If a=b & c=d, then a*c = b*d. Corollary: the doubles postulate - doubles of equal quantities are equal. Division postulate - if equal quantities are divided by nonzero equal quantities, the quotients are equal. If a=b, c=d, c 0, d 0, then a/c = b/d. Corollary: halves postulate - halves of equal quantities are equal. Partitions postulate - a whole is equal to the sum of it"s parts. Transitive postulate - if ab = cd & cd = ef, then ab = ef. Note: only used for values like lines & angles.
