# Definition of Rigid Transformations (Developing)

- Author:
- pthao_nguyen

## 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.)

## Question 6

Which transformation does the diagram above describe?

## 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.)*