Directions: Use this worksheet to record your answers to the house transformations
in the Transformations and Congruence Portfolio. When you are finished, save this
worksheet with your answers and submit it for a portfolio grade.
This portfolio includes a story about your life. You will explore transformations of a
figure and determine congruence. Within a variety of scenarios, you’ll move your
house through a series of transformations, describe the effects, and determine
congruence. Graph each transformation described on the coordinate grid under
Question 1 in the worksheet. Use a different color for each transformation. Record
your answers below.
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 (2,2), B (4,2), C (4,4), D (3,5), and
E (2,4).
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.
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 color you use on your graph here.
Question 3
Describe specifically the formal transformation that occurred when the flood moved
your house.
Question 4
Is your new house after this transformation congruent to the original house? Explain
your answer.
Chapter 3
You have become an internet sensation after your video received over 5 million views
in one week. This made you 1 million dollars. You call a builder and ask them to build
you a house twice the size of your current house. The new coordinates of your house
are (–4,0), (–4,4), (–2, 6), (0,4), and (0,0).
Question 5
Plot the points of the new house after a scale factor of 2 with the given coordinates.
(This is a transformation called dilation.) Use a different color to plot the points.
Name the color you use on your graph here.
Question 6
Is your new house after this transformation congruent to the house in Chapter 2?
Explain your answer.
Chapter 4
Because you are famous, people want to live near you. You have a new neighbor
move in across the street after they build the same exact house as you did in Chapter
3.
Question 7
With a different color, plot and state the points of your neighbor’s house, which is a
reflection of your house in Chapter 3 over the y-axis. Name the color you use on your
graph here.
Question 8
Is your new house after this transformation congruent to the house in Chapter 3?
Explain your answer.
Chapter 5
A tornado hit the area. It picked up your house and rotated it 180 degrees
counterclockwise.
Question 9
Plot and state the points of your new house from Chapter 3 after a counterclockwise
rotation of 180 degrees about the origin. Use a different color to plot the points.
Name the color you use on your graph here.
Question 10
Is the new location of your house after this transformation congruent to the
neighbor’s house in Chapter 4? Explain your answer.
could you please answer all of these questions