Chapter 7: Similarity

Determine whether the figures are similar.

• YES

• NO

Determine whether the figures are similar.

• YES

• NO

The two triangles in the figure are similar. Determine the value of x.

• 16

• 16.5

• 18

• 20

If the dimensions of a photo are 2 inches by 3 inches and the dimensions of a poster of the same image are 8 inches by 12 inches, are the photo and the poster similar? Explain

• Yes, the ratios are the same.

• No, the ratios are not the same.

• Yes, they are of the same image

• No, they are different sizes.

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

• Yes, ΔABE∼ΔADC by SSS Similarity

• Not similar, corresponding angles not congruent.

• Not similar, corresponding sides not proportional

• Yes, ΔABE∼ΔADC by SAS Similarity

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.

To estimate the height of a tree, Dave stands in the shadow of the tree so that his shadow and the trees shadow end at the same point. Dave is 6 feet tall and his shadow is 15 feet long. If he is standing 66 feet away from the base of the tree, what is the height of the tree?

• 26.4 feet

• 36 feet

• 28.4 feet

• 30 feet

Determine the value of x.

• 11

• 9.6

• 10

• 8.4

If $\Delta ABC\sim\Delta DEF$  , find  $m\angle C\ .$  

• 54

• 59

• 67

• 69