Similar Triangles

Are the triangles similar? If so, complete the congruence statement and give the reason. If not, explain why not. Triangle ABX ~ ____

• Triangle QRX

  by AA~

• Triangle RQX

  by AA~

• Triangle RQX

  by SAS~

• Not Similar because only 1 pair of congruent angles

• Not Similar because sides are not proportional

Are the triangles similar? If so, complete the congruence statement and give the reason. If not, explain why not. Triangle MPX ~ ____

• Triangle LWA

  by SAS~ or SSS~

• Triangle LAW

  by SAS~ or SSS~

• Triangle LWA

  by AA~

• Not Similar because only 1 pair of congruent angles

• Not Similar because sides are not proportional

Are the triangles similar? If so, complete the congruence statement and give the reason. If not, explain why not. Triangle PQM ~ ____

• Triangle MAB

  by SAS~

• Triangle ABM

  by AA~

• Triangle BAM

  by SAS~

• Not Similar because only 1 pair of congruent angles

• Not Similar because sides are not proportional

Why are the triangles similar? Find the scale factor and find the value of x.

• AA~

  SF: 5/9

  x=10.8

• AA~

  SF: 2/3

  x=7.5

• SAS~

  SF: 2/3

  x=7.5

• SAS~

  SF: 5/9

  x=10.8

Why are the triangles similar? Find the scale factor and find the value of x.

• SSS~

  SF: 4/5

  x=8.8

• SAS~

  SF: 4/5

  x=8.8

• SAS~

  SF: 5/6

  x=13.2

• SAS~

  SF: 4/5

  x=13.75

Why are the triangles similar? What is the scale factor?

• AA~

  SF: 7/4

• SAS~

  SF: 1/3

• SAS~

  SF: 7/4

• AA~

  SF: 12/7

• AA~

  SF: 1/3  

Why are the triangles similar? Find the scale factor and find the value of x.

• SAS~

  SF: 3/2

  x=25.5

• SSS~

  SF: 3/2

  x=25.5

• SSS~

  SF: 3/5

  x=27   

Why are the triangles similar? Find the scale factor and find the value of x.

• AA~

  SF: 3/8

  x=9

• SAS~

  SF: 3/4

  x=9 

Why are the triangles similar? Find the scale factor and find the value of x.

• AA~

  SF: 1/3

  x=36 

• SAS~

  SF: 2/7

  x=49

• SAS~

  SF: 3/1

  x=36 

• AA~

  SF: 7/2

  x= 49 

• SSS~

  SF: 1/3

  x=40

In sunlight, a vertical yardstick casts a 1-ft shadow

       at the same time that a nearby tree casts a 15ft

       shadow. How tall is the tree?

            (Hint: How many feet are in a yard?)

• 17 ft

• 45 ft

• 15 ft

• 5 ft

• 13 ft