Composite Transformations & Symmetry

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Which of the following describes the sequence of transformations shown?

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

• Rotate 90 degrees clockwise 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 counterclockwise about the origin.

(2, 6) --> Translate up 3, left 1 and rotate 180°

• (-1,-9)

• (1, -9)

• (5,5)

• (-5,5)

• (-4,2)

• (4,-2)

• (-4,-2)

• (2,-4)

• (3,1),(-1,-7),(6,-6)

• (3,-3),(-1,5),(6,4)

• (1,-3),(5,5),(-2,4)

• (-1,-2),(3,6),(-4,5)

• a reflection over the x-axis followed by a reflection over the y-axis

• a 180 degree rotation followed by a reflection over the line y=x

• a 90 degree clockwise rotation followed by a reflection over the y-axis

• a translation 8 units to the right and 1 unit up followed by a 90 degree counterclockwise rotation

How many lines of symmetry does this shape have?

• 0

• 2

• 1

• 4

Which letter has ONLY rotational symmetry?

• 
• 
• 
• 

What type of symmetry do all 3 images have in common?

• rotational

• reflectional

• both

• neither

How many lines of symmetry does a circle have?

• 0

• 1

• infinitely many

• 2