Transformations

Identify the type of transformation shown. (Hint: look at the letters)

• Dilation

• Reflection

• Rotation

• Translation

Answer explanation

Though this looks like a rotation, the vertices of the image show A' and B' on top of the square, just like in the pre-image. This tells us that a translation occurred, not a rotation.

Identify the type of transformation shown

• Dilation

• Reflection

• Rotation

• Translation

Answer explanation

Look at the vertices (letters). Points A and D flip from the bottom of the pre-image to the top of the image.

Identify the type of transformation shown.

• Translation

• Reflection

• Rotation

• Dilation

Verbally describe the transformation shown.

• Translated 5 units to the left and 8 units up

• Translated 1 unit 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

Answer explanation

The pre-image is the top figure (the vertices are labeled without any ' symbols)

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

• (x, y) --> (x+2, y-5)

• (x, y) --> (x+2, y-9)

• (x, y) --> (x-2, y-9)

• (x, y) --> (x-2, y+9)

Answer explanation

Look for the pre-image

Find K' if the figure is translated 6 units down and 3 units left.

• (-8, -8)

• (-2, -8)

• (-8, 4)

• (-5, -8)

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

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

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Answer explanation

The algebraic rule for a reflection across the y-axis is

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

What is the Algebraic Representation for this transformation?

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

Ben is going to rotate a figure in Quadrant IV 90 degrees counterclockwise. In which Quadrant should the image be?

• I

• II

• III

• IV