Geometry: Composition of Transformations Practice WS



CCII CompositeTransformations WS#2 Name ________________________ A# _____

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|(5) |[pic] |(6) |[pic] |

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|(7) |[pic] | | |

Honors Assignment for Composite Transformations Day 2 Name ______________________________

Investigate the effects of the following transformation. (x,y) -> (x+y, x)

1. Plot the pre- image square with vertices [pic]

2. Write the matrix image of the square under (using) the given transformation. Then plot the image.

3. Are any points in the coordinate plane their own images?

Which? Why?

4. When you transform midpoints of the segments. Do these points become midpoints of the image segments?

Honors Assignment for Composite Transformations Day 2 Name ______________________________

Investigate the effects of the following transformation. (x,y) -> (x+y, x)

1. Plot the pre- image square with vertices [pic]

2. Write the matrix image of the square under (using) the given transformation. Then plot the image.

3. Are any points in the coordinate plane their own images?

Which? Why?

4. When you transform midpoints of the segments. Do these points become midpoints of the image segments?

5. Is the image still a square? If not, what properties are still shared by the pre-image and the image?

6. What is the effect of the transformation on the lengths of segments and the perimeter of the figure? Investigate to determine the most precise analysis possible.

7. What is the effect of the transformation on the area of the figure? Investigate to determine the most precise analysis possible.

8. Write a description for the composite transformation using two individual transformations. (One of them is not from our previous list of transformations) Complete the spaces below.

A ________________________________, followed by __________________________________.

5. Is the image still a square? If not, what properties are still shared by the pre-image and the image?

6. What is the effect of the transformation on the lengths of segments and the perimeter of the figure? Investigate to determine the most precise analysis possible.

7. What is the effect of the transformation on the area of the figure? Investigate to determine the most precise analysis possible.

8. Write a description for the composite transformation using two individual transformations. (One of them is not from our previous list of transformations) Complete the spaces below.

A ________________________________, followed by ______________________________

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