SOLUTION: Monica is making a design in art class. She is experimenting how to transform line segment AB in her design. If she reflects the line segment across line l, how will the length a

Algebra ->  Points-lines-and-rays -> SOLUTION: Monica is making a design in art class. She is experimenting how to transform line segment AB in her design. If she reflects the line segment across line l, how will the length a      Log On


   



Question 1134074: Monica is making a design in art class. She is experimenting how to transform
line segment AB in her design. If she reflects the line segment across line l,
how will the length and position of segment AB and its image compare?
A. Line segment AB and its image will be the same length and in different
positions.
B. Line segment AB and its image will be different lengths and in different
positions.
C. Line segment AB and its image will be the same length and in the same
position.
D. Line segment AB and its image will be different lengths and in the same
position.

Answer by greenestamps(13241) About Me  (Show Source):
You can put this solution on YOUR website!


A reflection does not change lengths, so answers B and D are not right.

In most cases, a reflection will change the position of any object; so answer A would be right.

However, if segment AB is contained in line l, its reflection in line l will be in the same position.

Or if line l is the perpendicular bisector of segment AB, then the reflection of segment AB in line l will be in the same position as segment AB, but with the two endpoints A and B switched.

So, with the question as posed and no further information about the relationship of line l and segment AB, the best answer is A; but in certain cases answer C could be right.