# 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