Answer:
D) AB ≅ AD
Step-by-step explanation:
The Hypotenuse-Leg Triangle Congruence Theorem (HL) states that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the two triangles are congruent.
In the given diagram, the shortest leg of right triangle CAB is of the same length as the shortest leg of right triangle CAD, as indicated by the tick marks. So, we know that one leg of ΔCAB and the corresponding leg of ΔCAD are congruent: BC ≅CD. To prove that ΔCAB ≅ ΔCAD by HL, we also need to know that the hypotenuses of both triangles are congruent.
Therefore, the additional congruence statement that could be used to prove ΔCAB ≅ ΔCAD by HL is:
[tex]\Large\boxed{\boxed{\overline{AB}\cong \overline{AD}}}[/tex]
