Congruent Transformations

If you were to reflect ABCD about the origin, what would the coordinate of A' be?

Write a rule for the translation.

Describe the transformation shown in the picture.

• Reflection about the x-axis

• Reflection about the origin

• Rotation by 270 degrees about the origin

• Rotation by 90 degress about the origin

If you were to rotate ABCD 180° about the origin, what would the coordinates of D' be?

Are the figures congruent? (What type of transformation is shown?)

• NOT Congruent (dilation)

• NOT Congruent (translation)

• Congruent (dilation)

• Congruent (translation)

How many degrees was the figure rotated by?

• It is a translation

If you were to rotate ABCD 90° about the origin, what would the coordinate of A' be?

Identify the transformation.

• Reflection about y-axis

• Reflection about x-axis

• Rotation about the origin by 180 degrees

• Translation 6 units down

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

• Translation 3 units left, then translation 7 units down.
  

• Dilation by a scale factor of 3, then dilation by a scale factor of 3.

• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

• Translation 4 units right, then translation 6 units up. 

Which transformation(s) preserve congruency? (Choose all that apply)

• rotations

• reflections

• translations

• dilations