Complete the table to find the rule for the rotation, the coordinates of triangle ABC, and the coordinates of the rotated image, triangle A′B′C′.

OG           NEW

A(-4 ,5 )A′(4 , -5)

B(-3 , 1)B′(3 ,-1 )

C(-5 ,2 )C′(5 , -2)

Step-by-step explanation:

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.