Transformations

Transformations

In math, a translation moves a shape left, right, up, or down but does not turn. The translated shapes (or the image) appear to be the same size as the original shape, indicating that they are congruent. They've simply shifted in one or more directions.

Translation

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

• 3 up , 8 left

• 9 down , 4 right

• 8 down , 4 right

• 2 up , 3 left

Multiple Choice

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-4, -5)

• (4, 4)

• (-1, 5)

Multiple Choice

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

• 3 right, 1 up

• 3 up

• 3 right, 4 up

• 6 up

Moving up or down
y - a number move down
y + a number move up

Change in y

Moving left or right
x - a number move left
x + a number move right

Change in x

Translate mathematically

Multiple Select

Choose all of the following that will translate shape A to shape B.

• (x-5, y-3)

• (x-3, y-5)

• (x+5, y+3)

• (x+3, y+5)

Multiple Choice

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

• (x, y) --> (x - 9, y + 3)
• (x, y) --> (x + 9, y - 3)
• (x, y) --> (x + 3, y - 9)
• (x, y) --> (9x, 3y)

Multiple Choice

What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

• (x, y) --> (x - 8, y + 2)
• (x, y) --> (x + 8, y - 2)
• (x, y) --> (x + 2, y - 8)
• (x, y) --> (8x, 2y)

A reflection is a mirror image of the shape. An image will reflect over a line, known as the line of reflection.

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​Reflection

Multiple Choice

Identify line of reflection

• x axis

• y axis

• y = x

• y = -x

Multiple Choice

Identify line of reflection

• y = x

• y = -3

• y axis

• x axis

Multiple Choice

Identify line of reflection

• x axis

• y axis

• y = x

• y = -x

Multiple Choice

What axis is the image reflected over?

• X-axis

• Y-axis

​Ok, so we see a pattern here

​a reflection on the y axis:
the y stays the same
change the x value to the opposite (x,y) --> (-x,y)

​

​a reflection on the x axis
the x stays the same
change the y value to the opposite (x,y) --> (x,-y)

​

​These are the rules you need to remember.

​Lets repeat it a bunch of times!

Multiple Choice

What is the image of K(3,9) when it reflects over the X-axis?

• K'(3, 9)

• K'(3, -9)

Multiple Choice

What is the image of P(-2, -6) when it reflects over the X-axis?

• P'(-2, 6)

• P'(2, -6)

Multiple Choice

What is the image of W(-5,-2) when it reflects over the Y-Axis?

• W'(5,-2)

• W'(-5,2)

Multiple Choice

What is the image of R(2,-6)

• R'(2, 6)

• R'(-2, -6)

Multiple Choice

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Multiple Choice

Find K' if the figure is reflected across the x-axis

• (4, 1))
• (-1, -4)
• (1, -4)
• (1, 4)