In the following list, where is the second statement the negation of the first?I. The Canucks won last year.The Canucks lost last year. II. A...

The   negation  of a proposition p
is notp.

So if the propsition p is true
, then  the propoitio notp is not true.

If the proposition p is not
true ,then notp is true.

The truth table of P and not is as
folows:

p      
notp

T        F

F       T.

Therefore
applying this to the pairs of staments given we easily determinne:

 
I. The Canucks won last year.
The Canucks lost last
year.

The second stement is negation of the first , as it
negates the truth (or false ) of the
first.

II. A rhombus is a trapezoid.
A trapezoid is not a
rhombus.

 The first statement value is F. The  second
statement is true. But it  is not the negation of the first , but
the negation of  the proposition a trapezoid is a rhombus.

III. A
square is a rectangle.
A square is not a
rectangle.

P is true , p is not true form.
So this a
negation.

Answer:

 e)
I and III is correct choice.