When a segment is rotated 180^(∘) counterclockwise about the origin, the coordinates of the image's endpoints will change in the following way:
(a,b)→ (- a,- b).
Practice makes perfect
To reflect RS in the x-axis, we will bring the endpoints of RS to the opposite side of the x-axis so that the axis creates a perpendicular bisector to RR' as well as SS'
From the diagram we can determine the coordinates of the image as:
R'(3,1) and S'(2,6).
When a segment is rotated 180^(∘) counterclockwise about the origin, the coordinates of the image's endpoints will change in the following way:
(a,b)→ (- a,- b).
Using this rule on the endpoints of R'S', we can find the endpoints of R''S''.
Point
(a,b)
(- a,- b)
R'
(1,3)
(- 1,- 3)
S'
(2,6)
(- 2,- 6)
Knowing the endpoints of R''S'', we can draw the image.
