Which statement can be used to prove that a given parallelogram is a rectangle? the diagonals of the parallelograms are congruent.
the diagonals of the parallelogram are perpendicular.
all the sides of the parallelogram are equal in measure.
the angles of the parallelogram are congruent.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

c

step-by-step explanation: