Read the statement. doubling the dimensions of a rectangle increases the area by a factor of 4. if p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? check all that apply. p → q represents the original conditional statement. ~p → ~q represents the inverse of the original conditional statement. q → p represents the original conditional statement. ~q → ~p represents the converse of the original conditional statement. p → ~q represents the contrapositive of the original conditional statement.

 p represents doubling the dimensions of a rectangle;

 q represents the area increasing by a factor of 4;

¬p represents not doubling the dimensions of a rectangle;

¬q represents the area not increasing by a factor of 4.
means: "Doubling the dimensions of a rectangle increases the area by a factor of 4" and this is true.
means: " Not doubling the dimensions of a rectangle not increases the area by a factor of 4." This is not true, because you can increase one side by four times and second side remain the same and the area increases by factor 4.
means: "If the area increases by a factor of 4, then the dimensions of a rectangle are doubled". It's also false, because only one side may be increased 4 times.
  means: "If the area not increases by a factor of 4 then the dimensions of a rectangle are not doubled" is true.
 means: "Doubling the dimensions of a rectangle not increases the area by a factor of 4" is false, because doubling dimensions necessarily increases the area.