Transformations and Congruence Portfolio Worksheet



Questions:



Chapter 1

You are just beginning your life as an adult and have bought a house in a new housing development. Your house is located at A (2,3), B (4,3), C (4,5), D (3,6), and E (2,5).



Question 1 Plot the points where your house is located, in your favorite color. Name this color here as the color of the original location. Black.

Chapter 2

A flood moves your house exactly 4 blocks to the left and 2 blocks down.



Question 2

Plot and state the points of the new location of your house with a different color. Name the new coordinates and color you used on your graph here. ____________________________________________________________________________________________________________________________________________________________



Question 3

Describe specifically the formal transformation that occurred when the flood moved your house.

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Question 4

Is your new house after this transformation congruent to the original house? Explain your answer.

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Chapter 3

You have a new neighbor move in across the street from where your house is now located after the flood. They build the same exact house as you have.



Question 5

With a different color, plot and state the points of your neighbor’s house, which is a reflection of your house in Chapter 2 over the x-axis. Name the coordinates and color you used on your graph here. __________________________________________________________________



Question 6

Is your neighbor’s house congruent to your house? Explain your answer. ____________________________________________________________________________________________________________________________________________________________



Chapter 4

A tornado hit the area. It picked up your house and rotated it 180 degrees counterclockwise from Chapter 2.







Question 7

Plot and state the points of your new house from Chapter 2 after a counterclockwise rotation of 180 degrees about the origin. Use a different color to plot the points. Name the new coordinates and color you used on your graph here. ______________________________________________________________________________



Question 8

Is the new location of your house after this transformation congruent to the neighbor’s house in Chapter 3? Explain your answer. ____________________________________________________________________________________________________________________________________________________________