Congruency and Transformations

Are the figures congruent? Explain.

• Congruent by rotation.

• Congruent by translation.

• Congruent by dilation.

• Congruent by reflection.

Which congruency statement correctly compares these two triangles?

Are the figures congruent? Explain.

• Congruent by rotation.

• Congruent by dilation.

• Not congruent, sizes are different.

• Congruent by reflection.

Which congruency statement correctly compares these triangles?

What type of transformation is shown?

• Dilation

• Translation

• Reflection

• Rotation

• A

• B

• C

• D

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.

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

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

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• the figures are not similar.