Question

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Similar Right Triangles Quick Check
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Question
Use the image to answer the question.

There are two right triangles of different sizes. A smaller triangle is on the upper left and is labeled upper A, upper B, upper C. A larger triangle on the right is labeled upper D, upper E, upper F.
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Determine which of the following ratios is correct.

(1 point)
Responses

ABEF=BCDF=ACDE

Start Fraction upper A upper B over upper E upper F End Fraction equals Start Fraction upper B upper C over upper D upper F End Fraction equals Start Fraction upper A upper C over upper D upper E End Fraction

ABDE=BCEF=ACDF

Start Fraction upper A upper B over upper D upper E End Fraction equals Start Fraction upper B upper C over upper E upper F End Fraction equals Start Fraction upper A upper C over upper D upper F End Fraction

ABDF=BCEF=ACDE

Start Fraction upper A upper B over upper D upper F End Fraction equals Start Fraction upper B upper C over upper E upper F End Fraction equals Start Fraction upper A upper C over upper D upper E End Fraction

ABBC=ACDF=DEEF

Answer 1

Choose the second option:

AB/DE = BC/EF = AC/DF.

Reason: The triangles are similar, and corresponding vertices are A ↔ D, B ↔ E, C ↔ F, so corresponding sides are AB with DE, BC with EF, and AC with DF.