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Triangle A B D is shown with a segment from vertex A to point C on side B D. Segment B C is marked with 1 hash. Segment C D is marked with 1 hash.
What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
In order to prove the triangles congruent using the SAS Congruence Postulate, we need to know the measure of at least one angle.
In order to prove triangles congruent using the SAS Congruence Postulate, we need the following additional information:
1. The measure of at least one angle in both triangles: Let's say we have the measure of angle A in triangle ABD, and angle C in triangle ACD.
2. The lengths of the segments AB and AD: We need to know the lengths of these two sides in order to confirm that they are equal in both triangles.
With these pieces of information, we can check if the triangles satisfy the SAS (Side-Angle-Side) criterion for congruence.
To prove triangles congruent using the SAS (Side-Angle-Side) Congruence Postulate, we need two sides and the included angle to be congruent in both triangles. In the given scenario, we have one side marked with one hash (segment BC) and the included angle at point C.
To apply the SAS Congruence Postulate, we need to find another side that is congruent in both triangles. However, the problem statement does not provide any information regarding the lengths of the sides in triangle ABD.
Therefore, we need additional information about the lengths of the sides in triangle ABD in order to prove the triangles congruent using the SAS Congruence Postulate.