Given: abd = cdb which of the following must be true if the triangle are congruent? pl

All the three sides of the given triangles are equal to the sides of another triangle then, . Therefore the correct option is C).

Given :

Triangle ABD is congruent to the triangle CBD.

A triangle has three sides and the sum of all the interior angles are equal to .

If the triangle ABD is congruent to the triangle CBD then:

AB = DC

AD = BC

BD = BD

If all the three sides of the given triangles are equal to the sides of another triangle then, . Therefore the correct option is C).

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C. AB ║ DC

The congruence of the two triangles means ∠ABD≅∠CDB. These, then, are alternate interior angles on either side of transversal BD between lines AB and DC. If alternate interior angles are congruent, the lines are parallel:

... AB ║ DC

Congruence of the triangles does not require ∠B to be bisected or that it be 90°.