Hot Student Stories
top-5-grammar-and-spelling-checkers-to-rock-in-2019

Which biconditional is NOT a good definition A. Two angles are supplementary if and only if the sum of their angles measures 180. B.Two angles are vertical angles only if they are not adjacent to each other and are formed by two intersecting lines. C.Two angles form linear pair if and only if the angles are adjacent. ** D.The sum of two angles is 90 if and only id those angles are complementary

Whitney Matthews

in Mathematics

follow
followin
1 answer
5 views

1 answer


Megan Page on August 15, 2018

The answer is: [C]: Two angles of the form [a] linear pair if and only if the angles are adjacent._____________________________{Your choice of answer is correct! Good job!}._______________________________________Explanation:__________________Consider the option of answer given in: "option Answer: [C]" :_______________________"Two angles form a linear pair if and only if the angles are adjacent."_____________________________ Then, consider the following: __________________ 1) "Two angles are supplementary form a linear pair."Is this true? Yes, but not always. (In other words, "sometimes"). A "linear pair" of angles IS supplementary (by definition); however, NOT ALL pairs of angles are linear angles. Supplementary pairs of angles must ALSO be ADJACENT in order to be "linear angles". 2) "Two angles that are vertical are adjacent." Is this true? No; this is not true_____________As such, this biconditional is NOT a good definition; and through the examination of all of the other answer choices given, we see that this answer choice "C" is correct.__________________Consider the other answer choices given:_________________________________________Response option: [A]: "Two angles are supplementary if and only if the sum of its angles measuring 180." ; is INCORRECT, because it is a good definition: 1) If 2 angles are supplementary, then the sum of their measures is 180 degrees. 2) If the sum of the measures of two angles is 180 degrees, then the angles are supplementary.___________________________________Answer choice: [B]: "Two angles are vertical angles only if they are not adjacent to one another and are formed by two intersecting lines."; it is WRONG because that is a good definition: 1) If two angles are vertical, then they are nonadjacent angles formed by two intersecting lines. 2) If two angles non-adjacent angles formed by two intersecting lines, then the angles are vertical angles._____________________________________Answer choice: [D]: "The sum of two angles is 90 if and only if the angles are complementary," ; is INCORRECT, because it is a good definition: 1) If two angles are complementary, then the sum of their measures is 90 degrees. 2) f the sum of [measures for the] two angles is 90 degrees, then the angles are complementary._______________________________________________


Add you answer