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1 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

------------------------------------------------------------------------------------------------------------------ 2.5

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1.25

Mar 29, 2018

#1
+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
+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

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

△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