Transformations and Congruence

If the dotted figure is the image, the original figure was reflected over the ...

• x-axis

• y-axis

If the dotted figure is the image, the original figure was reflected over the ...

• x-axis

• y-axis

Which of the following describes the sequence of transformations shown?

• Reflection, then a rotation.

• Rotation, then a translation.

• Reflection across the x-axis, then a reflection across the y-axis.

• Translation, then a rotation.

Which sequence of transformations will map PQRT to its image P'Q'R'T'?

• A translation, then a reflection over the y-axis.

• A reflection over the x-axis, then a translation.

• A rotation 90^o clockwise, then a reflection over the x-axis.

• A rotation 180^o clockwise, then a reflection over the y-axis.

Are the figures congruent or similar?

(What type of transformation is shown?)

• Similar (dilation)

• Similar (translation)

• Congruent (dilation)

• Congruent (translation)

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.

Name the transformation and determine if the shapes are congruent.

• 90° CW Rotation; NOT CONGRUENT

• 90° CCW Rotation; NOT CONGRUENT

• Reflection across x axis, YES CONGRUENT

• Reflection across y axis, YES CONGRUENT

Which statement about figure 1 and 2 must be true?

• A series of transformations will transform 1 to 2, and the figures will be congruent.

• A 180º clockwise rotation will transform 1 to 2, and the figures will be congruent.

• A series of transformations will transform 1 to 2, but the figures will not be congruent.

• A 90º clockwise rotation will transform 1 to 2,

  but the figures will not be congruent.

• A

• B

• C

• D

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

• congruent; a counterclockwise rotation of 90 degrees followed by a translation

• congruent; reflection

• congruent; translation

• not congruent