QUESTION 4:

Question

Plot the points on new coordinates after the flood below

(5 points)
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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)
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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)
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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)
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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)
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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

Here are the detailed responses to each question provided:

Question 4

You did not provide points from Question 4, so I cannot plot the new coordinates after the flood. Please provide the original coordinates.

Question 5

Assuming original coordinates are as follows:

• A (x₁, y₁)
• B (x₂, y₂)
• C (x₃, y₃)
• D (x₄, y₄)
• E (x₅, y₅)

To calculate the new coordinates, you multiply each x and y by 2:

• The new coordinate for A is (2x₁, 2y₁)
• The new coordinate for B is (2x₂, 2y₂)
• The new coordinate for C is (2x₃, 2y₃)
• The new coordinate for D is (2x₄, 2y₄)
• The new coordinate for E is (2x₅, 2y₅)

Question 6

For plotting the new coordinates, you would note that the new coordinates result from dilation, which enlarges the original shape while retaining the proportions and relationships of the points relative to each other.

Question 7

The dilation transformation took the coordinates of my original house and doubled them. For instance, if my house was originally at (x, y), it moved to (2x, 2y). Hence, my new house is positioned directly proportional to my old house, keeping the same shape and orientation but enlarging its size.

Question 8

Assuming the new coordinates for the neighbor’s house correspond to your new coordinates and reflecting over the y-axis:

• A’ (-2x₁, 2y₁)
• B’ (-2x₂, 2y₂)
• C’ (-2x₃, 2y₃)
• D’ (-2x₄, 2y₄)
• E’ (-2x₅, 2y₅)

Question 9

The reflection transformation over the y-axis takes each coordinate (x, y) and transforms it to (-x, y). The resulting neighbor's house remains congruent to my new house because the dimensions and shape are preserved through reflection, maintaining their sizes and proportions.

Question 10

Here are the definitions matched to the corresponding words based on lesson vocabulary:

• Line of Symmetry: A line that divides a figure into two identical parts.
• Reflection: A transformation producing a mirror image of a shape.
• Rotation: Turning a shape around a fixed point.
• Rotation Symmetry: A shape has rotation symmetry if it looks the same after a certain amount of rotation.
• Transformation: An operation that moves or changes a shape to form a new shape.
• Translation: A transformation that moves every point of a figure the same distance in the same direction.
• Isometry: A transformation that preserves distance and angle measures.
• Dilation: A transformation that changes the size of a shape while maintaining its proportions.
• Pre Image: The original figure before a transformation.
• Image: The resulting figure after a transformation.
• Shrink: A type of dilation where the scale factor is less than 1.
• Line of Reflection: The line across which a figure is reflected.
• Degree of rotation: The measure of the angle through which a figure is rotated.
• Clockwise: The direction of rotation that follows the movement of the hands of a clock.
• Scale Factor: A number that scales or multiplies a quantity.
• Enlargement/Expansion: A type of dilation where the figure increases in size with a scale factor greater than 1.

Feel free to provide existing coordinate values or any additional context needed to fill in responses.