Translations and Reflections

The original figure prior to a transformation.

• Pre-image
• Image

The result of a transformation.

• Pre-image
• Image

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

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

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

Write the rule for this translation:
Slide 3 up and 2 right

• (x, y)---->(x + 3, y + 2)
• (x, y)-----> (x+2, y + 3)
• (x, y)----> (x - 2, y + 3)

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)
• (x-8, y-4)
• (x+4, y+8)
• (x-4, y-8)

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

Find A', the image of A(3, 5), after a translation with vector <-7, 4>.

• (10, 1)

• (-4, 9)

• (-10, -1)

• (4, -9)