Question

Which statement is necessarily true if BD¯¯¯¯¯ is an altitude to the hypotenuse of right ΔABC?
http://cdn.ple.platoweb.com/PCAP-ASSETS-PROD/81e35f01fd7f431486507ce523dec6a7

ΔADB≅ΔBDC

ΔADB~ΔBDC

ABBC=ACBD

∠BAC≅∠BDC

Answer 1

See if this theorem applies:

The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other.

Caveat: If you go with this --> ΔADB~ΔBDC , do check the correspondence of vertices first.

Note: I am not saying that is the answer because I don't know what this option is supposed to be:

ABBC=ACBD

Answer 2

C IS WRONG!

Answer 3

Its B.

Answer 4

you're wrong :)