Question

Choose the abbreviation of the postulate or theorem that supports the conclusion that WAS NOT.

Given:
W = N, S = T, WS = NT.

A) SSS
B) SAS
C) ASA
D) AAS

Answer 1

ASA - If two angles and the included side are equal to two angles  and the included side of another triangle.

Answer 2

ASA postulate supports the conclusion that WAS ≅ NOT.

Explanation:

Given in the triangles WAS and NOT,

W = N, S = T, WS = NT

So,

1. ∠W ≅ ∠N (Angle)
2. ∠S ≅ ∠T (Angle)
3. WS ≅ NT (The included side)

According to ASA (Angle - Side(included) - Angle) the two triangles WAS and NOT are congruent.

*As WS and NT are included by the angles so they are congruent by ASA, not by AAS (Angle - Angle - Side(not included))