Dilations and Similarity Review

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

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

Which of the following results in congruent figures?

• Rotations

• Translations

• Dilations

• Reflections

• All Rigid Transformations

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.

• $\Delta ABC\ \sim\ \Delta DEF$

• $\Delta ACB\ \sim\ \Delta DEF$

 $\Delta ABC\ \sim\ \Delta DEF$  
Find the perimeter of  $\Delta ABC\$ .

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.

Find the value of x, and use it to find KM.

• x = 10, KM = 25

• x = 11, KM = 28

• x = 13.3 KM = 34.9

• x = 4.3, KM = 8

 $\Delta ABC\ \sim\ \Delta DFE$  What is the value of x.

• x = 29

• x = 40

• x = 21

• x = 19