SOLUTION: find the counterexample to show that each conjecture is false for if
<A and <B are complementary angles then they share a common side
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Question 999526: find the counterexample to show that each conjecture is false for if
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
by definition:
Complementary Angles are 2 angles the sum of whose measures is 90°
the counterexample to show that each conjecture is false for if
the counterexample: adjacent angles (two angles are adjacent when they have a and a common vertex (corner point) and don't overlap)
some more examples:
a counterexample is an exception to a proposed general rule or law
for example, consider the proposition "all students are lazy"
because this statement makes the claim that a certain property (laziness) holds for all students, even a single example of a diligent student will prove it false
thus, any hard-working student is a counterexample to "all students are lazy"
more precisely, a counterexample is a specific instance of the falsity of a universal quantification (a "for all" statement)
or
the sum of two integers is always positive: a counterexample =>
the product of two mixed numbers is never a whole number:
a counterexample => ()()=
all four-sided figures are rectangles: a counterexample =>parallelogram with no degree angles
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