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13. LT 4.2 - I can prove triangles congruent by SSS, SAS, ASA, and AAS. 14. What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
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Answer: The answer is given below.
Step-by-step explanation: Suppose we need to prove the two triangles in the attached figure, i.e., ΔABC and ΔDEF are congruent to each other by SAS rule.
SAS rule means side-angle-side rule. That is, to prove two triangles are congruent, we need to prove two sides and one angle of one triangle are congruent to the corresponding two sides and the angle of the other triangle.
The extra information that we need here is that the angle considered here should lie in between the two sides considered.
That is, in the attached file, in ΔABC and ΔDEF, if we consider the sides AB, BS and DE, EF, then we must consider the angles B and E respectively. We cannot take Angles C and F.
Hence explained.
