The SAS Postulate | Proving Triangle Congruence with Side-Angle-Side Method

SAS

SAS stands for “side-angle-side” and it is a method used to prove the congruence of two triangles

SAS stands for “side-angle-side” and it is a method used to prove the congruence of two triangles. In a SAS proof, you need to show that two sides and the angle between them in one triangle are congruent to the corresponding sides and angle in another triangle.

To prove that two triangles are congruent using the SAS postulate, you need to follow these steps:

1. Identify the two triangles you want to prove congruent.
2. Show that one pair of corresponding sides are congruent. This means that the lengths of the two sides are equal. You can do this by measuring the sides or using other theorems or properties, such as the Pythagorean theorem.
3. Show that the angle between the congruent sides in one triangle is congruent to the angle between the corresponding sides in the other triangle. You can use angle measurements or other angle properties, such as vertical angles or supplementary angles.
4. Finally, show that the remaining pair of corresponding sides are congruent in a similar way to step 2.

If you can prove all three parts (two sides and the included angle) to be congruent in each triangle, then you can conclude that the triangles are congruent using the SAS postulate.

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