The correct Option is (d) SAS
What are Congruent Triangles?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
The median of the legs of a triangle joins the vertex to the midpoint of the opposite side of the triangle.
An isosceles triangle has two congruent sides and angles.
This means that, postulates AAA and SSS are not possible.
This is so, because both postulates imply that the sides and angles of the triangles are congruent.
Sides AB and AC are congruent (S)
Angles at D on both triangles are congruent (A)
Sides CD and BD are also congruent (S)
These mean that:
The triangles are congruent by SAS postulate.
Hence, the correct option is (d) SAS
Learn more about Congruent triangle from:
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