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Please refer to the picture.  The triangles are similar by the AA Similarity Postulate. Which is the correct similarity statement?

Question options:

Triangle ABC ∼ Triangle EFD

Triangle ABC ∼ Triangle FED

Triangle ABC ∼ Triangle DEF

Triangle ABC ∼ Triangle EDF

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2.5

.4

.8

1.25

 Mar 29, 2018

Best Answer 

 #1
avatar+7601 
+2

Angle A is 90° and angle D is 90°, so  A  and  D  must be in the same position in the triangle name.

 

Angle B is 56° and angle E is 56°, so  B  and  E  must be in the same position in the triangle name.

 

Angle C is 34° and angle F is 34°, so  C  and  F  must be in the same position in the triangle name.

 

So...

 

Triangle ABC ~ Triangle DEF

 

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△JKL ~ PQR     so....

 

PR / PQ  =  JL / JK

 

n / 6  =  5 / 3

 

n   =   5/3 * 6

 

n   =   10

 

OM   =   n/4   =  10/4   =   2.5

 Mar 29, 2018
 #1
avatar+7601 
+2
Best Answer

Angle A is 90° and angle D is 90°, so  A  and  D  must be in the same position in the triangle name.

 

Angle B is 56° and angle E is 56°, so  B  and  E  must be in the same position in the triangle name.

 

Angle C is 34° and angle F is 34°, so  C  and  F  must be in the same position in the triangle name.

 

So...

 

Triangle ABC ~ Triangle DEF

 

---------------------------------------

 

△JKL ~ PQR     so....

 

PR / PQ  =  JL / JK

 

n / 6  =  5 / 3

 

n   =   5/3 * 6

 

n   =   10

 

OM   =   n/4   =  10/4   =   2.5

hectictar Mar 29, 2018

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