what is the answer to the question?

Answer:
[tex]HL\ Congruency[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\HL\ Congruency\ states\ that\ if\ the\ hypotenuses\ and\ any\ sides\ of\ two\\ right\ triangles\ correspond,\ the\ triangles\ are\ congruent.\\Hence,\\Here,\\AC\ [Hypotenuse\ of\ \triangle CDA]=BD [[Hypotenuse\ of\ \triangle BAD]\\\angle BAD=\angle CDA=90[Hence,\ the\ two\ triangles\ are\ right\ triangles]\\AD[In\ \triangle BAD]=AD[In\ \triangle CDA] [Common\ Side]\\Hence, Through\ HL\ Congruency\ Theorem\ \triangle BAD\ is\ congruent\\to\ \triangle CDA.[/tex]
Answer:
asa
Step-by-step explanation:
right angle
same base side
same distance to the other angle