1. What is a transformation? What are vertices?
Answer the following questions using yesterday’s Translation Task:
What is a transformation?
What are vertices?
When does it mean when geometric figures are congruent?
Which ways would you move on the coordinate graph if you moved vertically?
Which ways would you move on the coordinate graph if you moved horizontally?
What is a pre-image?
How can you tell the difference between the original shape and the transformed shape?

2. Translation Reflection Rotation
MCC8.G.1, 2, and 3
Translation
Reflection
Rotation

3. Coordinate Grid Quadrant II (-, +) Quadrant I (+, +) Quadrant III
(-, -)
Quadrant IV
(+, -)

4. Translation (Slide)
A transformation that "slides" each point of a figure the same distance in the same direction.

5. Click the Octagon to see Translation.
The act of sliding a figure in any direction.

6. A Horizontal Change affects the x-coordinate.
RULES
A Horizontal Change affects the x-coordinate.
A VERTICAL Change affects the
y-coordinate.

7. Ways to Write a Translation:
Direction:
Translation (a, b)
Ex. Translation (-8, 4)
Verbal description:
Move vertically 5 units
Move horizontally -3 units
Move horizontally7 units and vertically 3 units
Move the shape to the left 10 units
Mapping:
(x, y) → (x ± a, y ± b)
Ex. (x, y) → (x - 5, y + 7)

8. What’s the Rule??

9. Where’s the new figure??

10. What are the new points??

11. Reflection (flip)
A transformation that "flips" a figure over a line of reflection.

12. Reflection Click on this trapezoid to see reflection.
The result of a figure flipped over a line.

13. Where’s the new figure??

14. What are the new points??

15. Rotation (Turn)
A transformation that turns a figure about a fixed point through a given angle and a given direction.

16. Rotation Click the triangle to see rotation
Turning a figure around a point or a vertex
Rotation

17. Where’s the new figure??

18. Where’s the new figure??

19. What are the new points??

20. Which shapes show reflection, translation, or rotation?