Question

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)A (2,2) , B (4,2)B (4,2) , C (4,4)C (4,4) , D (3,5)D (3,5) , and E (2,4)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..

Answer 1

[AI-generated answer — Bot GPT 3.5]

Chapter 1:

The original location of my house is at points A (2,2), B (4,2), C (4,4), D (3,5), and E (2,4). I will mark these points in my favorite color, which is blue.

Chapter 2:
After the flood, my house is moved exactly 4 blocks to the left and 2 blocks down. This means the new location of my house is at points A' (-2,0), B' (0,0), C' (0,2), D' (-1,3), and E' (-2,2). I will mark these points with a different color, which is red.

Question 3:
The formal transformation that occurred when the flood moved my house is a translation.

Question 4:
Yes, my new house after this transformation is congruent to the original house. This is because a translation preserves the shape, size, and orientation of the object being translated. The new house is just shifted in position, but all the distances and angles between the points remain the same, making it congruent to the original house.