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

Pentagon JLKMN is similar to pentagon VWXYZ. What is the measurement of angle x?

• 30^o

• 60^o

• 150^o

• 120^o

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

• 
• 
• 
• 

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

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

Decide whether the triangles are similar. If so, write a similarity statement.

• ΔABC ~ ΔFED

• ΔABC ~ ΔDEF

• ΔABC ~ ΔDFE

• The triangles are not similar.

How are these two triangles similar? Solve for y.

• AA~, 32

• AA~, 9.6

• SAS~, 9.6

• SAS~, 4

• SAS~, 96

In the diagram, ΔMNP ~ ΔRST. Find the value of x.

• 20

• 24

• 30

• 32

Which method can be used to show that the two triangles at the right are similar?

• AA~

• SSS~

• SAS~

• Cannot be shown

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Are these two triangles similar and if so, identify the correct similarity statement.

• AA~

• SSS~

• SAS~

• None of these

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