Congruence and Orientation Transformations

Rotating a pre-image _____degrees will place it back to its original position.

• 180

• 90

• 270

• 360

Identify the transformation.

• Reflection across y axis

• Reflection across x-axis

• 180 Rotation

• Translation 2 units down

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

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o clockwise rotation

• 90^o counterclockwise rotation

Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?

• (3,3)

• (-3,3)

• (3,-3)

• (-3,-3)

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

When you transform a figure, it is congruent to the original figure.

• True

• False

Which of the following is an acceptable explanation why transformed figures are congruent to the original figures.

• The figures are actually NOT congruent.

• It depends on whether you translated, rotated, or reflected.

• Side lengths and angles measures stay the same when transformed.

• The figures look the same.

What is the sequence of transformations for the image given? 

• Reflect over the x-axis, translate (x+8,y)

• Reflect over the x-axis then translate (x+6, y)

• Reflect over the y-axis then (x+1, y+1)

• Translate down 4 (y-4) and to the right 5 (x+5)

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

Which statement is true about the transformation?

• The transformation preserves congruency and maintains orientation.

• The transformation preserves congruency and does not maintains orientation.

• The transformation does not preserves congruency but maintains orientation.

• The transformation does not preserves congruency or maintains orientation.