# Lesson Worksheet: Translation Using Vectors Mathematics

In this worksheet, we will learn describing translations using vectors and translating a shape given a vector.

**Q1: **

A translation of 3 units right and 2 units down can be described by the vector .

Describe the translation from point to point using a vector.

- A
- B
- C
- D
- E

The point is translated using the vector . What are the coordinates of its image?

- A
- B
- C
- D

**Q2: **

Shape A has been translated to Shape B and then to Shape C.

Write a vector to represent the translation from Shape A to Shape B.

- A
- B
- C
- D
- E

Write a vector to represent the translation from Shape B to Shape C.

- A
- B
- C
- D
- E

Write a vector to represent the translation from Shape C to Shape A.

- A
- B
- C
- D
- E

**Q3: **

Consider triangle ,where its vertices are at , , and . If the triangle is translated by a vector , what are the coordinates of its image ?

- A, , and
- B, , and
- C, , and
- D, , and
- E, , and

**Q4: **

Use the translation vector to find the image of the point .

- A
- B
- C
- D
- E

**Q5: **

Consider square , where , , , and . Find the coordinates of of the image after the translation with .

- A
- B
- C
- D
- E

**Q6: **

Consider triangle , where , , and . If the triangle is translated by a vector , which of the following is true?

- ATriangle is translated by 1 units to the left and 5 units down.
- BTriangle is translated by 1 units to the right and 5 units down.
- CTriangle is translated by 1 units to the right and 5 units up.
- DTriangle is translated by 5 units to the left and 1 units up.
- ETriangle is translated by 5 units to the right and 1 units down.

**Q7: **

Which of the following vectors defines the translation that happens to square ?

- A
- B
- C
- D
- E

**Q8: **

Which of the following vectors defines the translation that occurs to the red triangle?

- A
- B
- C
- D
- E

**Q9: **

The red triangle is the image of the blue triangle after a translation. Which vector describes the translation?

- A
- B
- C
- D
- E