Answer
Picture 3 does not contain enough information to prove that ∆ABC = ∆DEF
Step-by-step explanation
The rules for congruence in Mathematics include SSS, SAS, ASA
SSS
This represents two triangles with 3 similar sides. Picture 4 shows this type of congruency.
SAS
This represents two triangles with two similar sides and one similar included angle. An included angle is usually located right in between the two similar sides. Picture 2 shows this type of congruency.
ASA
This includes two similar angles and a similar side in between the angles, for the two triangles. Picture 1 shows this type of congruency.
Picture 3 shows two similar sides and a similar angle, but the angle isn't between the similar sides, that is, it isn't an included angle. So, it is the image with not enough information to prove that ∆ABC = ∆DEF.
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