(Please help me!!) Identify the postulate or theorem that proves r∥s. Given: ∠2≅∠4

Conv. of Alt. Ext. ∠s Thm.
Conv. of Alt. Int. ∠s Thm.
Conv. of Corr. ∠s Post.
Corr. ∠s Post.

You should look for corresponding ,alternate and co-interior

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.