Translation, Rotation, & Reflection

Which reflection does the image show?

• Reflection across the x-axis according to the rule (x, y) → (x, −y)
• Reflection across the y-axis according to the rule (x, y) → (x, −y)
• Reflection across the x-axis according to the rule (x, y) → (−x, y)
• Reflection across the y-axis according to the rule (x, y) → (−x, y)

• Reflection

• Rotation

• Translation

• Reflection

• Rotation

• Translation

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

• left 2, up 9
• right 2, down 9
• left 2, down 9
• left 2, up 5

How would you describe the translation of the green shape to the red shape?

• 6 up

• 3 right, 1 up

• 3 up

• 3 right, 4 up

Translations, rotations, and reflections are three different types of what?

• Transformations
• Geometry
• Vectors
• Shapes

When you translate, (x-4 ,y) will move _____.

• 4 units right

• 4 units left

• 4 units up

• 4 units down

Describe the transformation:

(x, y) -> (-y, x)

• reflection across the x-axis

• reflection across the y-axis

• rotation 90 degrees clockwise

• rotation 90 degrees counterclockwise

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

Reflect the point (2, -4) over the y-axis.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)