Transformations and Congruency

Match the following words with their description.

• An image that has changed in shape or size after a transformation.

• Similar

• An image that has the same shape, but a different size after a transformation.

• Dilation

• A transformation that causes a figure to change in size.

• Not Congruent

• An image that has the same shape and size after a transformation.

• 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.

Are the figures congruent or similar?

(What type of transformation is shown?)

• Similar (dilation)

• Similar (translation)

• Congruent (dilation)

• Congruent (translation)

What does congruent mean?

• corresponding sides and angles are congruent

• corresponding sides are proportional and corresponding angles are congruent

• sames shape

• neither sides or angles are congruent

​ (a)   refers to whether the pre-image and image have the same size and shape.

• Congruence

• Similarity

• Orientation of the Figure

• Orientation of the Vertices

The triangles are similar. Which series of transformations maps ABC onto DEF?

• translation followed by a rotation

• translation followed by a dilation

• rotation followed by a dilation

• reflection followed by a dilation

Which statement BEST describes these two figures

• they are the same color

• they are different shapes

• they are the same shape and size

• they are different sizes

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No