Definition of Rigid Transformations (Developing)

Question 1

As you experiment with translation, record your initial observations. BONUS: use "parallel", "perpendicular", and/or "distance" in your answers.

Question 2

As you experiment with reflection, record your initial observations. BONUS: use "parallel", "perpendicular", and/or "distance" in your answers.

Question 3

As you experiment with rotation, record your initial observations. BONUS: use "parallel", "perpendicular", and/or "distance" in your answers.

Question 4

Why do mathematicians call these transformations "rigid"? (You may look up the definition of rigid if you do not know its meaning.)

Question 5

Fill in the blank w/ "never", "sometimes", or "always". In translation, if one preimage point lines up with its corresponding image point, the remaining pairs of points will __________ line up with each other. (Be prepared to justify your answer.)

Check all that apply

Question 6

Question 6

Which transformation does the diagram above describe?

Check all that apply

Question 7 (Extension)

True or False? Any rotation can be replaced with a single reflection. If you choose true, explain how you can do so. If you choose false, provide a counterexample (i.e. provide an example of a rotation that cannot be replaced with a reflection.)