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What else must you know to prove the triangles congruent by SAS?
(2 points)
To prove the triangles congruent by SAS (Side-Angle-Side), we must know:
- The lengths of two sides in each triangle to show that they are congruent
- The measure of the angle included between those two sides to show that they are congruent.
To prove triangles congruent by SAS (Side-Angle-Side), you must know the following information:
1. Side-Side-Side (SSS) Postulate: If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.
2. Side-Angle-Side (SAS) Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Therefore, to prove triangles congruent by SAS, you must know the following:
- The lengths of two sides of one triangle that are congruent to the lengths of two sides of the other triangle.
- The measure of the included angle between the two given sides.
By knowing these two pieces of information, you can apply the SAS postulate to prove the triangles congruent.