Answer:
Reflection over x axis
Step-by-step explanation:
Given : A line segment has endpoints at (3, 2) and (2, –3).
To Find: Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?
Solution:
Rule of reflection over x axis
(x,y)→(x,-y)
Point (3,2) when reflected over x axis:
(3,2)→(3,-2) (using rule of reflection over x axis)
Point (2, –3)when reflected over x axis
(2,-3)→(2,-(-3))→(2,3) (using rule of reflection over x axis)
So, (2,-3)→(2,3)
Thus we can see that a line segment has endpoints at (3, 2) and (2, –3) when reflected over x axis then an image with endpoints at (3, –2) and (2, 3) will be produced.
