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Question
a side - side - side congruent triangle theorem
b side - angle - side congruent triangle theorem
c angle - angle - side congruent triangle theorem
d angle - side - angle congruent triangle theorem
e hypotenuse leg congruent triangle theorem
f not congruent
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Step1: Identify the given information
In \(\triangle STV\) and \(\triangle EAD\), \(\angle T=\angle A = 90^{\circ}\), \(\angle S=\angle D\), and the sides marked as equal (let's assume the non - hypotenuse sides).
Step2: Recall the congruence theorems
The Angle - Angle - Side (AAS) congruence theorem states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.
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C. Angle - Angle - Side Congruent Triangle Theorem