Transforming Similar Shapes

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

• x = 1

• x = 3

• x = 9

• x = 5

Are these figures similar?

• yes

• no

• i don't know

• not enough information

What are similar figures?

• Shapes that have the same shape, but not necessarily the same size.

• Compares the sizes of the parts of the scale drawing to the actual sizes on the original object. 

• They are sides that are in the same position in different plane figures.  

• They are sides that have different ratios.

Solve for X.

• 36

• 27

• 45

• 56

• F
• G
• H
• I

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

The surface area of a certain prism is 1088 square km and its volume is 13312 cubic km. If a similar solid has a surface area of 425 square km, what is this similar solids volume?

• 3250 cubic km

• 5200 cubic km

• 1950 cubic km

• 8320 cubic km

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

State if the polygons are similar.

• a

• b

• c

• d