1. By: Mrs. Fischer Learning Targets: 8.G.2,8.G.3, 8.G.4
Transformations
By: Mrs. Fischer
Learning Targets: 8.G.2,8.G.3, 8.G.4

2. Follow the slides to learn more about transformations
Students should have paper and a pencil for notes at their desk while going through this presentation.

3. TRANSFORMATIONS
Transformation: a transformation is a change in position, shape or size.
The NEW figure you create after a transformation is known as the….? ________
______Notation is uses a tick mark to indicate the new image. If Triangle ABC is the original an A’B’C’ is the new image.

4. ANSWERS TO THE FILL IN
IMAGE and PRIME!!

5. There are 4 types of transformations
REFLECTIONS or FLIPS
TRANSLATIONS or SLIDES
ROTATIONS or TURNS
DILATIONS: Enlargement or Reduction of a pre-image.

6. Rigid
Rigid Transformations are: reflections, rotations and translation.
The transformation DOES NOT alter the size/shape of the figure.

7. Non Rigid
Dilations are NON RIGID because this transformation alters the size/shape/orientation. A DILATION is a SHRINK or a STRETCH

8. Translations
In a translation, Every POINT is moved the SAME distance and direction.
EX……

9. Translation Rules can be written in 3 different ways….1
description
7 units to the left and 3 units down. (A verbal description of the translation is given.)   2.
mapping:
(This is read: "the x and y coordinates will be translated into x-7 and y-3".  Notice that adding a negative value (subtraction), moves the image left and/or down, while adding a positive value moves the image right and/or up.) 3
notation:
(The -7 tells you to subtract 7 from all of your x-coordinates, while the -3 tells you to subtract 3 from all of your y-coordinates.) This may also be seen as (x,y) = (x -7,y - 3).

10. Translation Rules
Rules can be written to move a point. For example: (x,y) (x-6, y+1) indicates I would translate the pre-image 6 units to the left along the X AXIS and up 1 unit on the Y AXIS.
Q 1.Write a rule (in each of the three formats) that would move a point 4 to the right and 5 units down.

11. Graph the given point
Q2- If point A is located at (4,6), and you translated the figure to the left 3 units and down 2 units, What is the location of the new point?
Q3-If point C located at (-5,2) was translated 9 units to the right and up one unit the new location of the point would be (-4,11)…is this TRUE OR FALSE? Explain.

12. Q. 4 If you begin at 35 degrees latitude and 120 degrees longitude what translation rule will get you to 40 degrees latitude and 80 degrees longitude?
What state did you begin at?
What state did you end at?

13. Click the DUDE to test YOUR Translation SKILLS
GOOD LUCK……

14. REFLECTIONS

15. Navigate to the Brightstorm website by clicking the STAR below and watch the brief video on Reflection Transformations (you may take notes if you wish..if you need extra practice you may click on the other problem websites after watching the concept video.).

16. ROTATIONAL SYMMETRY
Rotational symmetry is when the shape or image can be rotated and still look the same.
Click to interactively investigate Rotations.
Click to learn about the ANGLE of ROTATION

17. DILATIONS
OBSERVE: Notice how EVERY coordinate of the original pentagon has been multiplied by the scale factor (1/3).
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.   A dilation stretches or shrinks the original figure.    

18. Dilation CONTINUED>
To the left the pre-image of rectangle EFGH with the center of  dilation at point E and a scale factor of ½ yields E’F’G’H’.
OBSERVE: Point E and its image are the same.  It is important to observe the distance from the center of the dilation, E, to the other points of the figure.  Notice EF = 6 and E'F' = 3.

19. YOU MADE IT.
WOOHOO!