kendricklamar29
19.09.2021 •
Mathematics
Which of the following must be true to prove AABC = ADEF by the AAS
theorem?
B
Given
ZA=20
AC DF
с
A. ZBEZC
B. ZB ZE
ОООО
O C. ZCE ZF
D. ZE ZF
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Ответ:
The correct option is ΔABC ≅ ΔFED by SAS
Step-by-step explanation:
Looking at the given diagram,
Side AC = Side DF = 3.2
Side AB = Side FE = 4 units
Angle A = angle F = 72 degrees
Since two sides and one angle are equal, then triangle FED = triangle ABC by SAS(side angle side)
This makes the ratios possible
AB/FE = AC/DF
The HL given means hypotenuse leg. It will not hold because the triangles are not right angle triangles.