Copy the reflection and rotation chart 2 times each!!!!!

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Presentation transcript:

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!

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

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).

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

Tear out pages 128-132 Example: Use the definition of congruence to decide whether the two figures are congruent. Explain your answer.

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.

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:____

Reflection:_______ Translation:______

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:____

Tear out pages 131-132

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>