Translations Introduction Lesson

9.2 Translations

Open Ended

When you think of the word "reflection" what do you think of? Write your answer as a hashtag. Example: #Reflection

Open Ended

What about the word "dilation"?

Open Ended

Give an example of a rotation.

Open Ended

What do you think a translation is? Provide an example of your thinking.

Multiple Choice

Which of the following shows the translation

of ΔABC along the translation vector?

• A

• B

• C

• D

Multiple Choice

Graph ΔABC with the vertices A(–3, –2), B(4, 4), C(3, –3) along the vector 〈–1, 3〉. Choose the correct coordinates for ΔA'B'C'.

• A'(–2, –5), B'(5, 1), C'(4, –6)

• A'(–4, –2), B'(3, 4), C'(2, –3)

• A'(3, 1), B'(–4, 7), C'(1, 0)

• A'(–4, 1), B'(3, 7), C'(2, 0)

Multiple Choice

Graph ΔGHJK with the vertices G(–4, –2), H(–4, 3), J(1, 3), K(1, –2) along the vector 〈2, –2〉. Choose the correct coordinates for ΔG'H'J'K'.

• G'(–6, –4), H'(–6, 1), J'(1, 1), K'(1, –4)

• G'(–2, –4), H'(–2, 1), J'(3, 1), K'(3, –4)

• G'(–2, 0), H'(–2, 5), J'(3, 5), K'(3, 0)

• G'(–8, 4), H'(–8, –6), J'(2, –6), K'(2, 4)

Multiple Choice

The graph shows repeated translations that result in the animation of the soccer

ball. Choose the correct translation

of the soccer ball from position 2 to

position 3 in function notation.

• (x, y) → (x + 3, y + 2)

• (x, y) → (x + (–3), y + (–2))

• (x, y) → (x + (–3), y + 2)

• (x, y) → (x + 3, y + (–2))

Multiple Choice

The graph shows repeated translations that result in the animation of the soccer ball. Describe the translation of the soccer ball from position 3 to position 4 using a translation vector.

• 〈–2, –2〉

• 〈–2, 2〉

• 〈2, –2〉

• 〈2, 2〉

Check your understanding

Multiple Choice

A transformation in which a graph or geometric figure is picked up and moved to another  location without any change in size or orientation.

• Translation
• Rotation
• Reflection
• Dilation

Multiple Choice

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3
• slide right 2, up 3
• slide right 2, down 3
• slide left 3, right 2

Multiple Choice

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)

Multiple Choice

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right
• Translated 5 units down and 1 to the right
• Translated 8 units down and 5 units to the right
• Translated 5 units down and 4 units to the right