What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
In order to prove triangles congruent using the SAS Congruence Postulate, you would need the following information:
1. Two pairs of corresponding sides must be congruent.
2. The included angle (the angle formed between the two congruent sides) must be congruent.
To prove triangles congruent using the Side-Angle-Side (SAS) Congruence Postulate, you need the following information:
1. Side-Side (SS) Condition: You must know that two sides of one triangle are congruent to two sides of the other triangle.
2. Angle Condition: You must know that the included angles (the angles formed by the two congruent sides) are congruent to each other.
With these two pieces of information, you can apply the SAS Congruence Postulate to prove that the triangles are congruent.
To prove two triangles congruent using the Side-Angle-Side (SAS) Congruence Postulate, you need the following information:
1. Side-Side (SS): Two pairs of corresponding sides are given in the triangles. These sides must be of equal length.
2. Angle-Side-Angle (ASA): Two pairs of corresponding angles are given in the triangles. These angles must be equal, and one pair must be adjacent to the side provided.
3. Side-Angle-Side (SAS): One pair of corresponding sides is given, followed by the included angle between them. The lengths of the sides don't need to be equal, but the included angle must be the same.
So, to prove the triangles congruent using the SAS Congruence Postulate, you need to know the lengths of two sides of one triangle and the measure of the included angle between them, and match it with the corresponding sides and angle in the other triangle.