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
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
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