The abbreviation of the postulate which can be used to support the conclusion is SAS ( Side Angle Side )
Given : WS = NT, AS = OT, S = T
Now, two sides are given to be equal and one angle
So, the similarity postulate which can be used to support the conclusion can be SAS ( Side Angle Side ). But for this postulate to be used, The angle must lie between the two equal sides.
So, the abbreviation of the postulate which can be used to support the conclusion is SAS ( Side Angle Side )
Given: In ΔWAS and ΔNOT
WA = NO, AS = OT, SW = TN
By SSS congruence postulate , we have
ΔWAS ≅ ΔNOT
The SSS congruence postulate or side-side-side postulate tells that if all the three sides of a triangle is equal to all the corresponding sides of the other triangle, then both the triangles are congruent.
Hence, SSS is the right abbreviation used for "side-side-side postulate."
WA = NO
AS = OT
SW = TN
△WAS ≅ △NOT by SSS Congruency Theorem
The abbreviation that supports the conclusion is SAS
We have two triangles named WAS and NOT
where we have two sides (WS=NT and AS=OT)
and an angle(S=T) equal
Since the angle is between the two sides
So the postulate that supports is SAS
i.e Side Angle Side
ASA postulate supports the conclusion that WAS ≅ NOT.
Given in the triangles WAS and NOT,
W = N, S = T, WS = NT
So,∠W ≅ ∠N (Angle)∠S ≅ ∠T (Angle)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))
his answer is wrong i just turned it in
Its given that WA = NO and AS = OT
The angle between WA and AS is A.
The angle between NO and OT is O.
Since WA = NO and NO = OT, A and O are corresponding angles.
But, from the given data, A = O.
Therefore, two pairs of sides and their included angles are equal.
So, the congruence that supports the conclusion is SAS (SIDE-ANGLE-SIDE).
Since we have two congruent sides with one congruent angle in between the answer is SAS.
The answer is SAS. I am positive. I just had my answer graded.