Question

ac ≅ ac
reflexive property
△abc ≅ △adc
sas
ab ≅ ad
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reflexive property
transitive property
substitution
corresponding parts of congruent triangles are congruent
(cpctc)
in a triangle, sides opposite of congruent angles are congruent
a segment bisector divides a segment into two congruent segments
a midpoint divides a segment into two congruent segments
opposite sides of a parallelogram / rhombus / rectangle / square are
congruent
note
the diagonals of a rect angle / square are congruent

Explanation:

Step1: Analyze the given congruent triangles

We know that \(\triangle ABC\cong\triangle ADC\).

Step2: Use the property of congruent triangles

When two triangles are congruent, their corresponding parts are congruent. So, for \(\overline{AB}\) and \(\overline{AD}\), since they are corresponding parts of congruent triangles \(\triangle ABC\) and \(\triangle ADC\).

Answer:

Corresponding Parts of Congruent Triangles are Congruent (CPCTC)