Question

Need help for geo..will mark brainlist

Answer 1

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 :

1. Angle A = Angle B
2. Angle B = Angle D
3. 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.