9-3 Proving Triangles Similar

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are similar. If so, state the similarity postulate or theorem.

• AA~

• SSS~

• SAS~

• The triangles are not similar.

Tags

CCSS.HSG.SRT.B.5

How are these two triangles similar? Solve for y.

• AA~, 32

• AA~, 9.6

• SAS~, 9.6

• SAS~, 4

• SAS~, 96

Tags

CCSS.HSG.SRT.B.5

Use the information in the diagram to determine the height of the tree.

• 264 feet

• 60 feet

• 72 feet

• 80 feet

Tags

CCSS.HSG.SRT.B.5

Are these two triangles similar? If so, how?

• Yes, AA ∼

• Yes, SAS ∼

• Yes, SSS ∼

• No

Tags

CCSS.HSG.SRT.B.5

Are these two triangles similar? If so, write a similarity statement.

• Yes; ΔUGA ≅ ΔBEF

• Yes; ΔUGA ≅ ΔFEB

• Yes; ΔUGA ≅ ΔFBE

• No

Tags

CCSS.HSG.SRT.B.5

Are these two triangles similar? If so, how?

• Yes, AA ∼

• Yes, SAS ∼

• Yes, SSS ∼

• No

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. Find the value of x.

• ±6

• 6

• √72

• No real solution

Tags

CCSS.HSG.SRT.A.2

Are the triangles similar?

• Yes
• No

Tags

CCSS.HSG.SRT.A.2

Find the missing length indicated.

• 30
• 25
• 45
• 50

Tags

CCSS.HSG.CO.C.9