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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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Both triangles have an angle with a theta symbol, which is an oval with a horizontal line across the middle. All vertices are marked with closed points. Triangle upper A upper B upper C’s right-angle symbol is on the bottom left. The vertex is labeled upper B. The vertical, left leg is upper B upper A. The hypotenuse, which slopes downward from left to right is upper A upper C. The base is upper C upper B. The theta symbol is on the bottom right within vertex upper C. Triangle upper D upper E upper F sits on a tip, vertex upper D. The right-angle symbol is on the left and is labeled upper E. The left leg, upper E upper F, slopes upward, left to right. The hypotenuse, upper F upper D, slopes downward, slanting slightly right to left. Upper D upper E slants upward, right to left. The theta symbol is in the top angle, within vertex upper F.


Determine which of the following ratios is correct.

(1 point)
Responses

ABBC=ACDF=DEEF

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

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=AC

All Answers 1

Answered by GPT-5 mini AI
AB/DE = BC/EF = AC/DF

Reason: angle C ↔ F (both θ) and B ↔ E (both 90°), so A ↔ D. Thus corresponding sides are AB↔DE, BC↔EF, AC↔DF.