transformations that are represented by the footprints

M

Markboyo

New member
Joined
Oct 18, 2019
Messages
2
I need help with a problem


Which of the choices best describes the transformations that are represented by the footprints?
  1. A reflection across a line followed by a translation along the line.
  2. A translation along a line followed by a reflection across the line.
  3. A composition of three reflections across three coplanar parallel lines.
A. I only
B. II only
C. III only
D. I and II only
E. 2019-10-04 (5).pngII and III only
 
It is much harder to be sure what something is not than to say what it is. You appear to know that II is correct; how do you know it is not only that? Is that just what someone (such as this program) told you? (That's not how we know things in math.)

You are right that II is valid; now tell me what you think about I and III. Note that I and II are just the same two actions in different orders; does that order make a difference? As for III, you probably know that some transformations can be obtained as a composition of others (e.g. a rotation is equivalent to a certain pair of reflections). So the question is, could the result of II be equivalent to three reflections as specified? What thoughts do you have? (And what have you learned about composition of transformations?)
 
Markboyo said:
I need help with a problem


Which of the choices best describes the transformations that are represented by the footprints?
  1. A reflection across a line followed by a translation along the line.
  2. A translation along a line followed by a reflection across the line.
  3. A composition of three reflections across three coplanar parallel lines.
A. I only
B. II only
C. III only
D. I and II only
E. View attachment 14213II and III only
Click to expand...
This is clearly a textbook/instructor specific question. Having taught a course from Smart's book some fifteen years ago, I was thrown by the question. But then I read the provided link. So now I could argue that D. is the correct answer.( I am picky and would change the order.)
 
You must log in or register to reply here.
Top