Question

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

Answer 1

It is a reflection over the x-axis

Answer 2

Reflection over x axis

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.