Transformations and Symmetry

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

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

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Segment AB is reflected across two parallel lines that are 5 cm apart. What is the distance between points A and A"?

• 5 cm

• 15 cm

• 10 cm

• Not enough information to tell

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Definition: The figure before a transformation has occurred. 

• Pre-image

• Image

• Translation

• Reflection

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation

• translation

• reflection

• dilation

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

• (4,0)

• (0,4)

• (-1,5)

• (5,-1)

Determine the image of C after it's first translated by the rule

(x, y) → (x − 2, y + 5)

and is then reflected over the y-axis.

• (-1, 4)

• (1, 4)

• (6, -3)

• (-3, 6)

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.