1st pair of triangles :
Postulate/theorem = SAS postulate
Explanation :
Given :
- One side in both triangles are congruent.
- Another side in both triangles is also congruent.
- The angles between these two sides are also equal.
Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.
2nd pair of triangles :
Postulate/theorem = ASA postulate
Explanation :
Given :
In triangle KDS and triangle KWS :
- Angle K = Angle K
- Angle S = Angle S
- Side KS = Side KS
Since 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.
3rd pair of triangles :
Postulate/theorem = AAS theorem
Explanation :
Given :
In triangle ACB and triangle BED :
- Angle A = Angle B
- Angle B = Angle D
- Side CB = Side ED
Since two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.
