Transformations and Congruent vs Similar Figures

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.

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

Determine if the two figures are similar by using transformations.

• The figures are not similar.

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

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

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

Determine whether the triangles are similar. If not, explain why not.

Triangle ABC is congruent to triangle DEF. Which series of transformations maps DEF onto ABC?

• dilation followed by a reflection

• rotation followed by a dilation

• translation followed by a dilation

• rotation followed by a translation

Tell whether the two figures are congruent.

• Yes, same size and same shape

• Yes, same shape and proportional size

• No, different size and different shapes

• No, same shape but different sizes

The figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?

• rotation followed by a translation

• rotation followed by a dilation

• reflection followed by a translation

• reflection followed by a rotation

What type of transformation results in SIMILAR figures?

• Translation

• Reflection

• Rotation

• Dilation

Tell whether the two figures are congruent or similar.

• Congruent, because their sides are the same.

• Congruent, because their sides are proportional.

• Similar, because their sides are the same.

• Similar, because their sides are proportional.

• They are not congruent or similar.

What movement happened with the triangles?

• Rotation-Turn

• Reflection-Flip

• Translation-Slide

• Dilation-Bigger or Smaller