QUESTION 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) . 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.
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 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.
(10 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.
(13 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
Transformation
Dilation
Pre Image
Image
Shrink
degree of rotation
Clockwise
Scale Factor
Translation
Englargement/Expansion
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1 answer
Question 1
You have the coordinates of your house and the required points to drop them. Here they are:
- A(2,2)
- B(4,2)
- C(4,4)
- D(3,5)
- E(2,4)
Drag and drop each point to its respective location.
Question 2
To find the new coordinates after the flood, move each point 4 blocks to the left (subtract 4 from x) and 2 blocks down (subtract 2 from y).
- A(2, 2) → (2 - 4, 2 - 2) = A(-2, 0)
- B(4, 2) → (4 - 4, 2 - 2) = B(0, 0)
- C(4, 4) → (4 - 4, 4 - 2) = C(0, 2)
- D(3, 5) → (3 - 4, 5 - 2) = D(-1, 3)
- E(2, 4) → (2 - 4, 4 - 2) = E(-2, 2)
The correct answer is:
New coordinates are A(-2, 0), B(0, 0), C(0, 2), D(-1, 3), E(-2, 2)
Question 3
After the flood, the transformation that occurred to the coordinates of the house involved a translation. This is a specific type of transformation where each point of the house moved uniformly 4 units to the left and 2 units down in the 2D coordinate plane. As a result, the positions of the points changed, reflecting the new locations of the house while preserving the shape and size of the house.
Question 4
You will plot the new coordinates (after the flood) as follows:
- A(-2, 0)
- B(0, 0)
- C(0, 2)
- D(-1, 3)
- E(-2, 2)
Select the appropriate points in the drop-down menus for plotting.
Question 5
To find the new coordinates for a house that is twice the size of the original:
- A(2, 2) → (22, 22) = A(4, 4)
- B(4, 2) → (42, 22) = B(8, 4)
- C(4, 4) → (42, 42) = C(8, 8)
- D(3, 5) → (32, 52) = D(6, 10)
- E(2, 4) → (22, 42) = E(4, 8)
Responses:
- 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)
Question 6
You will plot the new coordinates after the enlargement:
- A(4, 4)
- B(8, 4)
- C(8, 8)
- D(6, 10)
- E(4, 8)
You will select the appropriate points in the drop-down menus for plotting.
Question 7
The dilation refers to the uniform scaling of the coordinates from their original positions to their new positions. In this case, each coordinate point was multiplied by a scale factor of 2. This transformation expanded the house, doubling its size while maintaining the shape and proportions, verifying that the new coordinates are congruent to the original house in their respective relationships to each other but at a larger scale.
Question 8
Reflecting each coordinate across the y-axis involves changing the sign of the x-value:
- A(4, 4) → A(-4, 4)
- B(8, 4) → B(-8, 4)
- C(8, 8) → C(-8, 8)
- D(6, 10) → D(-6, 10)
- E(4, 8) → E(-4, 8)
Question 9
The transformation over the y-axis involves reflecting the coordinates across the y-axis, which means that for every point, the x-coordinate's sign is inverted. The new house of the neighbor is congruent to my house because a reflection is an isometry; both houses maintain the same shape and size even after changing their positions on the coordinate plane.
Question 10
Here are the definitions matched with the vocabulary used in the lessons:
- Line of Symmetry: A line that divides a figure into two mirror-image halves.
- Reflection: A transformation that flips a figure over a line.
- Rotation: A transformation that turns a figure about a fixed point.
- Transformation: A change in position, shape, or size of a figure.
- Dilation: A transformation that changes the size of a shape without altering its basic form.
- Pre Image: The original shape before any transformations.
- Image: The new shape after a transformation.
- Shrink: A type of dilation that reduces the size of a figure.
- Degree of Rotation: The measure of how far a figure turns around a fixed point.
- Clockwise: The direction in which the hands of a clock move.
- Scale Factor: A number that scales or multiplies some quantity.
- Translation: A transformation that slides a figure to a new location without changing its shape or orientation.
- Enlargement/Expansion: A type of dilation that increases the size of a figure.
This completes all questions.
