Transformation Project 2022

Michael Gee, Ana Castillo Rivas, Apr 29, 2022

Transformations Project 2022

Table of Contents

  1. Instructions- A Must Read
    1. Instructions
  2. Translations
    1. Translations Page 1
    2. Translations Page 2
    3. Translations Page 3
    4. Translations Page 4
  3. Reflections
    1. Reflections Page 1
    2. Reflections Page 2
    3. Reflections Page 3
  4. Rotations
    1. Rotations Page 1
    2. Rotations Page 2
    3. Rotations Page 3
  5. Dilations
    1. Dilations Page 1
    2. Dilations Page 2
  6. You Try
    1. You Try!!
  7. Final Project
    1. Final Project Transformations 2022

1.

Instructions- A Must Read

  • 1. Instructions

1.1.

Instructions

1) Follow instructions as stated. [br]2) Type the preimage and image points for every task to keep track of these.[br]3) Come up with an algebra formula that will take you from the preimage to the image.[br]
– Ana Castillo Rivas, mstiles

2.

Translations

  • 1. Translations Page 1
  • 2. Translations Page 2
  • 3. Translations Page 3
  • 4. Translations Page 4

2.1.

Translations Page 1

[size=150][b]Instructions[/b][/size][br][br]1) Change coordinates for A, B, C to A(2,2), B(8,4), C(6,8) so that you have a different triangle.[br][br]2) Choose from the drop down boxes and translate from vector. [br][br]3) Click on Point A and translate right.
Question 1
Write the preimage and image points, labeling them correctly.
Question 2
Compare the preimage and image points. What do you notice about both of them?
Question 3
What happened to triangle A'B'C'?
Question 4
Find the algebra rule that will take you from preimage to image (x,y) to (x', y').
– Ana Castillo, Michael Gee, Ana Castillo Rivas

2.2.

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2.3.

–

2.4.

–

3.

Reflections

  • 1. Reflections Page 1
  • 2. Reflections Page 2
  • 3. Reflections Page 3

3.1.

Reflections Page 1

Reflections
[b]Instructions[/b][br][br]1) Change coordinates for A, B, C to A(2,2), B(8,4), C(6,8) so that you have a different triangle.[br][br]2) Choose from the drop down boxes and reflect about line.[br][br]3) Click on the point, then on the x-axis to choose it as the reflection line.
Question 1
Write the preimage and image points, labeling them correctly.
Question 2
Compare the preimage and image points. What do you notice about both of them?
Question 3
What happened to triangle A'B'C'?
Question 4
Find the algebra rule that will take you from preimage to image (x,y) to (x', y').
– mstiles, Ana Castillo Rivas, Michael Gee

3.2.

–

3.3.

–

4.

Rotations

  • 1. Rotations Page 1
  • 2. Rotations Page 2
  • 3. Rotations Page 3

4.1.

Rotations Page 1

Reflections
[size=150][b]Instructions[/b][/size][br][br]1) Change coordinates for A, B, C to A(3,2), B(6,5), C(1,8) so that you have a different triangle.[br][br]2) Choose from the drop down boxes and rotate around point.[br][br]3) Select point, then select the origin. [br][br]4) Type 90°, and press OK.
Question 1
Write the preimage and image points, labeling them correctly.
Question 2
Compare the preimage and image points. What do you notice about both of them?
Question 3
What happened to triangle A'B'C'?
Question 4
Find the algebra rule that will take you from preimage to image (x,y) to (x', y').
– Ana Castillo Rivas, mstiles, Michael Gee

4.2.

–

4.3.

–

5.

Dilations

  • 1. Dilations Page 1
  • 2. Dilations Page 2

5.1.

Dilations Page 1

Reflections
[size=150][b]Instructions[/b][/size][br][br]1) Change coordinates for A, B, C to A(-4,2), B(6,-6), C(-2,-8) so that you have a different triangle.[br][br]2) Choose from the drop down boxes and dilate from point.[br][br]3) Select point, then select the origin. [br][br]4) Type 1/2 for the factor. [br][br]5) Dilate each point by 1/2.
Question 1
Write the preimage and image points, labeling them correctly.
Question 2
Compare the preimage and image points. What do you notice about both of them?
Question 3
What happened to triangle A'B'C'?
Question 4
Find the algebra rule that will take you from preimage to image (x,y) to (x', y').
– Ana Castillo Rivas, mstiles, Michael Gee

5.2.

–

6.

You Try

  • 1. You Try!!

6.1.

You Try!!

[b][size=150]Instructions[/size][/b][br][br]1) Take the pre-image in Quadrant I and perform a minimum of 5 transformations.[br][br]2) Include 2 reflections, 2 rotations, and 1 translation (in any order).[br][br]3) Your final drawing will need to be in Quadrant III. [br][br]4) You may require more than 5 transformations to achieve this goal.
– Ana Castillo Rivas

7.

Final Project

  • 1. Final Project Transformations 2022

7.1.

Final Project Transformations 2022

Suggestions for a successful project
Here are some tips to be successful in the design of your project. [br][br]1)Under the graph menu, select “Show Grid”[br]2) For the activity, we need to be able to see from –10 to 10 on both axes. [br]3) Click and drag the unit point so that –10 to 10 can be seen on both axes, if they are not already visible. [br]4) Under the graph menu, select "Plot Points," then plot the points (0, 0), (1, 2) and (0, 3). [br]5) Right click on the interior of the triangle to change the color. [br]6) From this triangle alone, perform transformations to complete your design. [br]7) Below you can see an example of a design.
– Ana Castillo Rivas

Information