QUESTION 1:

Question

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) . Drag and drop the points where your house is located .

(1 point)
Drop target 1
Drop target 2
Drop target 3
Drop target 4
Drop target 5
Question 2
QUESTION 2: Choose the correct location of the house after the flood



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

What are your new coordinates for the location of the house?

HINT: left and right is x, up and down is y.



Each value must be worked out example below:

(x - 4, y -2)

A.( 2,2) would be A ( 2 - 4, 2-2) the NEW coordinates are ( -2,0)

finish this for each coordinate on paper, then choose the correct answers below





(4 points)
Responses

New coordinates are A( -2,0), B (4, 2), C(0, 2) , D(-2, 3) E( -2, 2)
New coordinates are A( -2,0), B (4, 2), C(0, 2) , D(-2, 3) E( -2, 2)

New coordinates are A( -2,0), B (1, 2), C(0, 2) , D(-1, 4) E( -2, 2)
New coordinates are A( -2,0), B (1, 2), C(0, 2) , D(-1, 4) E( -2, 2)

New coordinates are A( -2,0), B (0, 0), C(0, 2) , D(-1, 3) E( -2, 2)
New coordinates are A( -2,0), B (0, 0), C(0, 2) , D(-1, 3) E( -2, 2)

New coordinates are A( -2,0), B (0, 2), C(2, 2) , D(-1, 3) E( 4, 2)
New coordinates are A( -2,0), B (0, 2), C(2, 2) , D(-1, 3) E( 4, 2)
Question 3
QUESTION 3

Describe Specifically the formal transformation that occured when the flood moved the house.



HINT: look back at the correct points and question and explain in words what happened.

(5 points)
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Question 4
QUESTION 4:

Plot the points on new coordinates after the flood below

(5 points)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
B (0, 0)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
A( -2,0)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
E( -2, 2)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
D(-1, 3)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
C(0, 2)
Question 5
QUESTION 5

You have gone viral after your video received over 5 million views in one week. This made you 1 million dollars. You call the builder and ask them to build you a house twice the size of your current house, the new coordinates are two times the original house, Using the original coordinates what are the new coordinates for each house.

HINT: multiply 2 by each x and y, example ( 2x, 2y)



(5 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The new coordinate for A Response area,

The new coordinate for B Response area

The new coordinate for C Response area

The new coordinate for D Response area

The new coordinate for E Response area

Question 6
QUESTION 6

Plot the new coordinates from the above action. Make sure you note the dialation from the first graph.

Dilation is a transformation that changes the size of a shape without altering its basic form , it can enlarge or shrink. Keep this in mind to explain what happened

(5 points)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Question 7
QUESTION 7

Explain the dialation using the coordinates and language to describe what happened to your house from the first location in quesiton 1, to the final location in Question 6.

(5 points)
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Question 8
QUESTION 8

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 the previous question #7. What are the new coordinates?

Original coordinates are on the left, match with new coordinates.



HINT: see rule for reflection across y axis below

Example the coordinate (2,4) becomes ( -2,4))



(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A
B
C
D
E
Question 9
QUESTION 9

Explain the new transformation over the y axis, then explain if this house is congruent to your neighbors house.

(5 points)
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Question 10
QUESTION 10

Match the correct definition to the word used in our lessons



HINT : Check out the Vocabulary in the Lesson intro pages.

(17 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Line of Symmetry
Reflection
Rotation
Rotation Symmetry
Transformation
Translation
Isometry
Dilation
Pre Image
Image
Shrink
Line of Reflection
degree of rotation
Clockwise
Scale Factor
Translation
Englargement/Expansion
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Answer 1

Certainly! Let's go through each question step by step:

Question 1:

You need to plot the points where your house is originally located, which are:

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

Drop Points:

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

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Question 2:

After the flood, your house moves 4 blocks to the left and 2 blocks down. We calculate the new coordinates for each original point:

1. A(2, 2): \( (2-4, 2-2) = (-2, 0) \)
2. B(4, 2): \( (4-4, 2-2) = (0, 0) \)
3. C(4, 4): \( (4-4, 4-2) = (0, 2) \)
4. D(3, 5): \( (3-4, 5-2) = (-1, 3) \)
5. E(2, 4): \( (2-4, 4-2) = (-2, 2) \)

So the new coordinates are:

• A(-2, 0)
• B(0, 0)
• C(0, 2)
• D(-1, 3)
• E(-2, 2)

Correct Response: New coordinates are A( -2, 0), B(0, 0), C(0, 2), D(-1, 3), E(-2, 2)

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Question 3:

The transformation that occurred when the flood moved the house can be described as a translation. The entire set of coordinates moved left by 4 units and down by 2 units. This change resulted in a shift of each point in a consistent manner along the x and y axes, maintaining their relative positions to one another.

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Question 4:

After the flood, plot the points based on the new coordinates:

• A(-2, 0)
• B(0, 0)
• C(0, 2)
• D(-1, 3)
• E(-2, 2)

You would select from the dropdowns shown in the tool or platform you are using to match the new coordinates accordingly.

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Question 5:

To create a new house twice the size, we multiply each coordinate by 2:

1. A(2, 2) → (22, 22) = (4, 4)
2. B(4, 2) → (42, 22) = (8, 4)
3. C(4, 4) → (42, 42) = (8, 8)
4. D(3, 5) → (32, 52) = (6, 10)
5. E(2, 4) → (22, 42) = (4, 8)

New Coordinates:

• The new coordinate for A: (4, 4)
• The new coordinate for B: (8, 4)
• The new coordinate for C: (8, 8)
• The new coordinate for D: (6, 10)
• The new coordinate for E: (4, 8)

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Question 6:

The dilation transformed the original coordinates to the new coordinates by scaling each one by a factor of 2. This means that while the positions of the points relative to each other stayed the same, their distances from the origin increased, effectively enlarging the house.

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Question 7:

The dilation took place when the coordinates were multiplied by 2, expanding the house size while keeping the shapes congruent. For example, transforming A(2,2) to A(4,4) means it was moved further away from the origin, maintaining the same form, just in a larger scale. All points were stretched equally, preserving their arrangement and distances relative to each other.

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Question 8:

If a neighbor builds the same house across the street, the coordinates will be reflected across the y-axis. This changes the sign of the x-coordinates:

1. A(4, 4) → A'(-4, 4)
2. B(8, 4) → B'(-8, 4)
3. C(8, 8) → C'(-8, 8)
4. D(6, 10) → D'(-6, 10)
5. E(4, 8) → E'(-4, 8)

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Question 9:

The new transformation over the y-axis reflects the original coordinates across the line y-axis, changing each x-coordinate to its negative. The reflection maintains the congruence of the houses, meaning that despite the change in position, the shapes and sizes remain identical. Therefore, my neighbor's house is congruent to mine.

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Question 10:

The definitions can be filled in as follows (assume you have a list to select from):

• Line of Symmetry: A line that divides a figure into two mirror-image halves.
• Reflection: A transformation creating a mirror image over a line.
• Rotation: A transformation that turns a figure around a fixed point.
• Rotation Symmetry: When a figure can be rotated and still look the same.
• Transformation: An operation that moves or changes a figure in some way.
• Translation: Moving a figure without changing its size, shape, or orientation.
• Isometry: A transformation that preserves distances and angles.
• Dilation: A transformation that changes the size of a figure.
• Pre Image: The original figure before transformation.
• Image: The figure after a transformation.
• Shrink: A dilation with a scale factor less than 1.
• Line of Reflection: The line over which a figure is reflected.
• Degree of Rotation: The measure of how far a figure is rotated.
• Clockwise: The direction of rotation that is the same as the hands of a clock.
• Scale Factor: The ratio of the size of the new figure to the original.
• Enlargement/Expansion: A dilation with a scale factor greater than 1.

Make sure to select and match each definition correctly in the platform you are using.