Similarity and Altitudes

A 5-foot tall student cast a 4-foot shadow. If the tree next to her cast a 44-foot shadow, what is the height of the tree?

• 35.2 ft

• 45 ft

• 51.5 ft

• 55 ft

In △ABC, 𝐷𝐸 ║ 𝐴𝐶 . If AD = 12, BD = 3,

and CE = 10, find BE.

• 1

• 2

• 1.5

• 2.5

Find the value of x.

• 14

• 15

• 16

• 18

Find the value of x.

• 5

• 6

• 6.5

• 7.5

Find the value of x.

• 16

• 18

• 20

• 21

Which theorem or postulate can be used to prove that these two triangles are similar?

• AA Similarity

• SAS Similarity

• SSS Similarity

• 4 units

• 8 units

• 5 units

• 6 units

The ratio of the bases of 2 similar triangles having equal heights is 5 : 8. If the area of the larger triangle is 72 sq. units, what is the area of the smaller triangle?

• 9 sq units

• 115.2 sq units

• 40 sq units

• 45 sq units

• 44 sq units

• 80 sq units

• 35 sq units

• 50 sq units