Question

"Which statement is necessarily true if BD is an altitude to the hypotenuse of right ΔABC?


A.) ΔADB≅ΔBDC
B.) ΔADB~ΔBDC
C.) ABBC=ACBD
D.) ∠BAC≅∠BDC"

Answer 1

This is the TRUE statement based on the given image. A.) ΔADB≅ΔBDC 

Triangle ADB:
Angle D = 90°
Angle B = 90°/2 = 45°
Angle A = 180° - 90° - 45° = 45°

So Triangle ADB is 90-45-45 triangle. 

Triangle BDC
Angle ? = 90° This is the angle that is adjacent to Angle D. It is also supplementary to Angle D.
Angle B = 90°/2 = 45°
Angle C = 180° - 90° - 45° = 45°

So, Triangle BDC is also a 90-45-45 triangle.

Answer 2

I took this test twice, and got it wrong both times. The INCORRECT answers that I choose where A and D so the CORRECT answers have to be B or C.

I hope this was helpful to you, please like and rate my answer, and if you find the correct answer please comment with it! :)