SOME SAMPLE QUESTIONS FROM THE DATABASE

1. Complete the analogy.  Pre-Image is to Image as Input is to _______.

            a) Output                      b) Function                  c) One to one function.           d) Coordinate rule

2. Isometric Transformations and Rigid Motions:

            a) are the same          b) are opposites          c) have no relationship          

3. Which of the following is a non-isometric transformation?

4. Which term describes a transformation that does not alter a figures shape or size?

            a) Symmetry               B) Similarity                C) Isometry                 D) Transformation

5. Which of the following is a not an isometric transformation of the pre-image?

6. The same function machine takes three inputs and produces 3 outputs.  What is the rule of this function machine?

Answer is f(x) = x - 4

7. Given coordinate rule T(x,y) ------- > (x, x + y), determine the image of A(-4,5)?

Answer is A’(-4,1)

8. Given coordinate rule T(x,y) ------- > (x + 2, y - 6), determine the pre-image of A’(-2,2)?

Answer is A(-4,8)

9. What is the difference between mapping and transformations?

Answer: A transformation must have a ONE TO ONE correspondence between the pre-image and the image.

10. Jamie states that ΔABC and ΔDEF are not transformations because they are not identical.  Is this correct?  Explain.

Answer: NO!  This is a transformation.  A transformation is simply a one to one correspondence.  An isometric transformation requires the shapes to be identical but a general transformation only requires a one to one relationship.  Thus this is a transformation…. specifically a non-isometric transformation.

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