Translations & Reflections

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

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

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

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

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

Point M (-3, 5) is translated using this rule.

(x, y) ----> (x - 1, y)

What are the coordinates of M'?

• (-4, 5)

• (-2, 5)

• (-4, 4)

• (-3, 4)

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)

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

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

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

Flipping a figure is a ...

• Rotation
• Reflection
• Dilation
• Translation

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

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

B(-2, -4)
Reflect over the line y = x

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