Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔFED b

Question

2 years ago

6

y SAS ΔABC ≅ ΔDEF by HL ΔABC ≅ ΔDEF by SAS Thank you!

1 answer:

pishuonlain [190] · Answer 1 · 2023-06-28T19:18:45+03:00

Answer: 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.