Dilations, Translations, and Similar Figures Review

Which type of transformations preserve congruence?

• dilations

• translations, rotations and reflections

• ONLY translations

• ONLY reflections and rotations

What must be true for figures to be similar? Select all that apply.

• They must have congruent corresponding sides.

• They must have congruent corresponding angles.

• They must have proportional corresponding side lengths.

• They must have proportional corresponding angle measures.

The smaller Camaro is a scale model of the larger one. What is the width of the smaller Camaro since the two cars are similar? Round your answer to the nearest hundredth of a centimeter.

What is the scale factor of the dilation?

• 6 : 3

• 3 : 6

• 2 : 1

• 1 : 2

Are these triangles similar? How do you know?

• They are not similar. The sides are not proportional.

• They are not similar. We need angles to prove that triangles are similar.

• The triangles are similar by SAS Triangle Similarity Theorem

• The triangles are similar by SSS Triangle Similarity Theorem

Are the triangles similar? If so, write a similarity statement. If not, explain why not.

• The triangles are similar by AA Triangle Similarity Theorem

• The triangles are similar by SAS Triangle Similarity Theorem

• The triangles are not similar.

Which of these rectangles are similar?

• None of these are similar. Rectangles cannot be similar

• All rectangles are similar, so Rectangles 1, 2, and 3 are similar.

• Only rectangles 1 and 2 are similar.

• Only rectangles 2 and 3 are similar.

• Only rectangles 1 and 3 are similar.

What is the value of x.

• x = 29

• x = 40

• x = 21

• x = 19

Which of the following results in congruent figures?

• Rotations

• Translations

• Dilations

• Reflections

• All Rigid Transformations

Uses a scale factor to shrink or enlarge

• Reflection

• Dilation

• Translation

• Rotation