1. In the grid below, 𝐴𝐵𝐶𝐷 has been transformed to obtain 𝐴′𝐵′𝐶′𝐷′.
Tuesday, September 5, NAME: ____________________________________ PERIOD: _________
In the grid below, 𝐴𝐵𝐶𝐷 has been transformed to obtain 𝐴′𝐵′𝐶′𝐷′.

2. In the grid below, 𝐴𝐵𝐶𝐷 has been transformed to obtain 𝐴′𝐵′𝐶′𝐷′.
Tuesday, September 5, NAME: ____________________________________ PERIOD: _________
In the grid below, 𝐴𝐵𝐶𝐷 has been transformed to obtain 𝐴′𝐵′𝐶′𝐷′.
a. This type of transformation is called a translation. Describe in your own words the movement of a figure that has been translated.
b. Show on the picture how you would move on the coordinate plane to get from
𝐴 to 𝐴’, 𝐵 to 𝐵’, 𝐶 to C’, and 𝐷 to D’ (Use a dashed line or a highlighter if you have one)

3. In the grid below, 𝐴𝐵𝐶𝐷 has been transformed to obtain 𝐴′𝐵′𝐶′𝐷′.
Tuesday, September 5, NAME: ____________________________________ PERIOD: _________
In the grid below, 𝐴𝐵𝐶𝐷 has been transformed to obtain 𝐴′𝐵′𝐶′𝐷′.
d. The coordinate rule for this
translation is (𝑥, 𝑦) → (𝑥 + 6, 𝑦 + 3). Connect this notation to your answer for part b. and to the coordinates of
corresponding vertices in the table from part c..
𝐴𝐵𝐶𝐷 is called the pre-image and 𝐴′𝐵′𝐶′𝐷′ is called the image. The pre-image is the figure prior to the transformation and the image is the figure after the transformation. 𝐴 and 𝐴′, 𝐵 and 𝐵′, 𝐶 and 𝐶′, and 𝐷 and 𝐷′ are corresponding vertices.

4. 2. In the grid below, Δ𝑅𝑆𝑇 has been translated to obtain Δ𝑅′𝑆′𝑇′.

5. 3. Draw and label the image of the figure below for the translation (𝑥, 𝑦) → (𝑥 + 5, 𝑦 − 3)
Which direction(s) will you translate to create the image?
How many units in each direction?

6. 4. Draw and label the image of the figure below for the translation (𝑥, 𝑦) → (𝑥 − 7, 𝑦)
Which direction(s) will you translate to create the image?
How many units in each direction?

7. Using a Ray as a Vector
UP 2 or
(y + 2)
LEFT 4 or (x – 4)

8. VECTOR EF translates as (𝑥, 𝑦) → (𝑥 - 4, 𝑦 + 2)
 Open your Engage NY workbooks to page S.12
VECTOR EF translates as (𝑥, 𝑦) → (𝑥 - 4, 𝑦 + 2)

11. Turn to Page S.13 in your Engage NY workbook.
2. Which figure(s) were not moved to a new location on the plane under this transformation?

13. Turn to Page S.14 in your Engage NY workbook

15.  Turn to Page S.15 in your Engage NY workbook

17.  Turn to Page S.16 in your Engage NY workbook

18.  Turn to Page S.25 in your Engage NY workbook

19. P ( -4, 3 )
P’ ( 4, -3 )