Transformation, Congruence and Similarity

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

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

• reflection followed by a dilation

• rotation followed by a dilation

• translation followed by a dilation

• translation followed by a rotation

• Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

• Yes. A translation 2 units up and 4 units right maps ADE to ABC.

• No. ABC is not similar to ADE.

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.

Match the following words with their description.

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

• Not Congruent

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

• Dilation

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

• Similar

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

• Congruent

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

​ (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

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