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Answer :
SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
What is SAS in prove triangle congruence?
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent. SAS means Side- Angle - side
For example, in triangle XYZ, where XZ is 6cm and YZ is 8cm and angle A is 70°
and another triangle XYZ , where AB is 6cm and AC is 8cm and angle Z is 70°
to prove ∆ ABC and ∆ XYZ are congruent, we have to check if the two sides of a triangle are congruent to the other two sides of the corresponding triangle and the included angles are congruent in both triangle.
XZ = AB = 6cm
YZ = AC = 8cm
angle Z = 70° = angle A
therefore we can say ∆ABC and ∆XYZ are congruent.
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