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

ForgottenMoon 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

hectictar Mar 29, 2018

#1**+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