Translations
Name ________________________________
Below are 17 dots. 16 of them are assigned a letter and 1 is assigned as a “blank space”. Translate the
letters into the 16 open circles are the bottom to spell out a school appropriate phrase. You may use the
letters more than once or not at all. 4 translations must use the coordinate notation, 4 must use the 𝑇
notation, 4 must use vector notation, and the last 4 must use verbal notation. Use must use all 16 circles
/ spaces exactly!
6
C
D
blank space
4
B
S
H
F
2
I
10
O
5
A
5
R
E
2
M
L
G
T
N
4
For example, to move the letter 𝐹 to the first open circle you would do the following translation:
Coordinate Notation- 𝐹: (𝑥, 𝑦) → (𝑥 − 4, 𝑦 − 3)
T Notation- 𝐹: 𝑇−4,−3
Vector Notation- 𝐹: ⟨−4, −3⟩
Verbal- Translate 𝐹 left 4 and down 3.
Coordinate Notation
T Notation
Vector Notation
Verbal Notation
2. Write the translation (in coordinate notation) that would map each preimage onto the given image.
a. Preimage: 𝐴(−3, 2), 𝐵(5, −1)
b. Preimage: 𝐶(−7, 12), 𝐷(−1, −2)
Image: 𝐴′(2, −1), 𝐵′(10, −4)
Image: 𝐶′(−10, 22), 𝐷′(−4, 8)
Translation: ________________________
Translation: ________________________
3. The vertices of ∆𝐴𝐵𝐶 are located at 𝐴(−3, 1), 𝐵(−4, 3), and 𝐶(−1, 5). Locate the vertices and
determine the quadrant that the triangle would be located in after the transformation 𝑇5,−6.
A’( _____ , _____ )
Quadrant = ________
B’( _____ , _____ )
C’( _____ , _____ )
4. The point 𝐴(−2, 4) is translated using the vector ⟨3, −3⟩ to create the image 𝐴′ . If 𝐴 and 𝐴′ are the
opposite corners of a square, what is the perimeter and area of the square?
Perimeter = __________
Area = __________
5. The point 𝐵(3, 1) is translated using the transformation 𝑇−4,−2 to create the image 𝐵′. If B and B’ are
the opposite vertices of a rectangle, determine the area and perimeter of that rectangle.
Perimeter = __________
Area = __________