Similarity Dimensions

Determine whether the triangles are similar. If so, by what reason and write a similarity statement.

• Not Similar, corresponding angles not congruent.

• Not Similar, corresponding sides not proportional.

• Yes, ΔIJK∼ΔHFG by SSS Similarity

• Yes, ΔIJK∼ΔGHF by SSS Similarity

Determine whether the triangles are similar. If so, by what reason and write a similarity statement.

• Not Similar, corresponding angles not congruent.

• Yes, ΔTUV∼ΔTSR by AA Similarity

• Yes, ΔTVU∼ΔTSR by SAS Similarity

• Not Similar, corresponding sides not proportional.

Determine the value of x.

• 11

• 9.6

• 10

• 8.4

Determine the value of x.

• 20

• 18

• 22.5

• 24

Determine the value of x.

• 12.9

• 11.4

• 10

• 9.8

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 3

• Yes; 3/10

• Yes; 3/5

• No

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

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

If all of the dimensions of a triangular prism decreased by 1/3, how much would the volume decrease by?

• 1/27

• 1/9

• 1/3

• 1/6