QUESTION 6

Question

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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A(4,4)
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B(8,4)
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C((8,8)
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D(6,10)
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E(4,8)
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)

Answer 1

To answer your questions about dilation and the transformation of coordinates, let's analyze the points you've provided.

Question 6

Here are the new coordinates after dilation:

• A(4,4)
• B(8,4)
• C(8,8)
• D(6,10)
• E(4,8)

Dilation Analysis: In the context of dilation, we note that the coordinates have changed in a way that indicates a transformation in size:

1. A(4,4): This point might represent a corner or vertex of a shape, and in the context of dilation, it appears to have undergone a change in position.
2. B(8,4): This coordinate represents an extension along the x-axis, indicating a shift that may enlarge the figure horizontally.
3. C(8,8): The increase in both x and y coordinates suggests a movement outward, contributing to the enlargement of the figure.
4. D(6,10): Similar to the previous points, this point suggests a vertical dilation, pushing the point further along the y-axis.
5. E(4,8): This indicates an upward shift while maintaining the x-coordinate, illustrating a growth in height.

Overall, the transformation likely represents an enlargement of the original shape, as many coordinates have been scaled up, indicating a dilation factor greater than 1 in both x and y directions.

Question 7

Explanation of Dilation:

When examining the coordinates from the first location (as noted in a previous question) to the final location after dilation, it’s clear that each point has transformed to a larger size. The transformation can be described as follows:

The house originally located at point A(4,4) underwent a dilation that changed its position and dimensions. The point B(8,4) indicates that the house has been enlarged and moved further along the x-axis, making it wider. Similarly, point C(8,8) shows that the house has now also extended vertically, increasing its overall size. The coordinates D(6,10) indicate that the house has been stretched both outwards and upwards. Finally, the point E(4,8) suggests that while the width of the house may have increased, it has also gained height.

In summary, the dilation has effectively altered the dimensions of the house while maintaining the shape's proportions, resulting in a larger structure that retains its original form but is now more expansive. This transformation illustrates the core concept of dilation, where while the basic geometry remains unchanged, it has simply grown in size.