Help with Geometry.....Show the conjecture is false by finding a counterexample?

Question

1. The average of any two consecutive numbers is an even number.

2. Any four-sided polygon is a square.

3. The square of any integer is a positive integer.

Answer 1

1) (6+7)/2 = 6.5, which is not an even number

2) rhombus--all sides are equal and opposite sides are parallel but it isn't a square because there are no right angles in it

3) 0^2 = 0. 0 is an integer and its square is not a positive integer.

Answer 2

the logo is "no longer equivalent". A counterexample is an occasion the place the proposed formula is incorrect. verify m = a million m/(m+a million) < a million a million/2 < a million that's actual, so this is not any longer a counterexample. verify m = -2 -2/(-a million) < a million 2 < a million that's fake, so m = -2 is a counterexample.