Answer:
Co ordinate of A' = (1, -4)
Co ordinate of B' = (3, 2)
Co ordinate of C' = (4, -2)
Explanation:
The figure of the triangle is shown below.
If we are finding image of the triangle about X-axis all the x -co-ordinates will remain same, but y co-ordinate will change it's sign.
So, co ordinate of A' = (1, -4)
Co ordinate of B' = (3, 2)
Co ordinate of C' = (4, -2)
We are given
equation of line as
we will check each options
option-A:
we can plug (3,1)
x=3 and y=1
we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2
we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4
we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6
we can see that
they are not equal
so, this is FALSE