The postulate that justifies the congruence is:
SAS postulate
What is SAS postulate?
SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side.
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
To learn more about the SAS postulate from the given link
https://brainly.com/question/1311007
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