Question

State the postulate used to make the
triangle OBC Congruent to triangle
OAD​

Answer 1

Given : ΔOBC and ΔOAD

OB = OA

BC = AD

∠OBC = 90° ,  ∠OAD = 90°

To Find :

the postulate used to make the ∆OBC congruent to ∆OAD​

Solution:

In ΔOBC and ΔOAD

OB = OA

∠OBC =  ∠OAD = 90°

BC = AD

Hence ∆OBC≅ ∆OAD​  ( SAS)

Postulate SAS ( side angle Sides)

SAS Postulate  :

Side-Angle-Side (SAS) Congruence Theorem

If two sides and the included angle of the first triangle are congruent to two sides and the included angle of the second triangle, then those two triangles are congruent.

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