1. A rigid motion is the same as:


            A) A mapping                                                  B) A transformation         

      
            C) An Isometric transformation         D) A proportional expansion

     

2. Congruence can be found through isometric transformations because they preserve key characteristics of the shape.  Which of the following is NOT one of the characteristics that an isometry preserves?


            A) Angle size                                                   B) Location on the plane          

          
            C) Distance between points                          D) Collinearity of points

     
 3. could represent a transformation that could establish congruence.    T    or     F
     
     
   
     
4. A student finds two triangles on two different pieces of patty paper.  He places them on the desk to compare them.  He slides and then turns the paper so that the two triangles on are on top of each other and then he notices that he needs to flip one of the papers so that they will land exactly on top of each other.  The student concludes that they are copies of each other.  Mathematically, what did this procedure prove about the triangles?
     
If you can map one shape onto another using isometric transformations if proves that the two shapes are congruent.  The student slid, turned and flipped the shape until the two matched each other identically.  The slide (translation), the turn (rotation), and the flip (reflection) are all rigid motions (isometric transformations).
     
     

5. Two quadrilaterals are congruent.  The following information is known about the two quadrilaterals;  , ∠D ≅ ∠F, and
∠GAD ≅ ∠MCF.  Fill in the missing points in their corresponding places.


                        Quadrilateral ____   D   ____   ____ ≅ Quadrilateral ____   F   ____   ____

     
Quadrilateral ADTG ≅ Quadrilateral CFRM    or   Quadrilateral TDAG ≅ Quadrilateral RFCM   
     
   
     
     
 
    Questions developed for Objective G.CO.6

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