1. Copy the reflection and rotation chart 2 times each!!!!!
Bell Work
Copy the reflection and rotation chart 2 times each!!!!!
You can put it in your 3.1 notes!

2. 3.2 Proving Figures are Congruent Using Rigid Motions
Essential Question: How can you determine whether two figures are congruent?

3. Two plane figures are congruent if and only if one can be obtained from the other by a sequence of rigid motions (that is, by a sequence of reflections, translations, and/or rotations).

4. Remember, in order for 2 figures to be congruent to each other they must have the same size and shape!

5. Tear out pages
Example: Use the definition of congruence to decide whether the two figures are congruent. Explain your answer.

6. There is a reflection across the y-axis that maps CDEF to JKLM.
Example: Use the definition of congruence to decide whether the two figures are congruent. Explain your answer.
Since the 2 figures appear to be the same size and shape, we must look for a rigid transformation that will map one to the other.
There is a reflection across the y-axis that maps CDEF to JKLM.

8. Rotation:_____ Translation:____
The figures shown are congruent. Find a sequence of rigid motions that maps one figure to the other. Give coordinate notation for the transformations you use.
Preimage Image
Rotation:_____
Translation:____

9. Reflection:_______
Translation:______

10. The figures shown are congruent
The figures shown are congruent. Find a sequence of rigid motions that maps one figure to the other. Give coordinate notation for the transformations you use.
Reflection:____
Translation:____

11. Tear out pages

12. Answers: Reflection: x axis; (x,-y) Translation: <8,0>
Reflection: y axis; (-x,y)
Translation: <1,-4>
Rotation: 180; (-x,-y)
Translation: <2,6>
Translation: <-2,0>