A line segment has endpoints at (5 ,8 ) and (7 ,4). If the line segment is rotated about the origin by pi , translated horizontally by -1 , and reflected about the y-axis, what will the line segment's new endpoints be?
1 Answer
Explanation:
We can create a rule for this transformation.
Assume the original endpoints of the segment can be described as
The first way in which the segment is manipulated is with a rotation of
The endpoints are then translated horizontally by
The final transformation is a reflection over the
This is the rule for the entire transformation. Apply it to the points
(5,8)rarr(6,-8)
(7,4)rarr(8,-4)