In the figure below, segment ac is congruent to segment ab:

triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac

which statement is used to prove that angle abd is congruent to angle acd?

Isosceles  triangle theorem

Step-by-step explanation:

In the given picture, there a triangle whose two sides are equal AB=AC.

Therefore it is an isosceles triangle.

Now, the isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Therefore by isosceles triangle theorem in ΔABC we have

Since [Reflexive]

[Reflexive]

Therefore,

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step-by-step explanation: