Question

According to the diagram below, which similarity statements are true? Check all that apply. A. ABD ~ BCD B. ABD ~ ADC C. ABC ~ ADB D. ABC ~ BDC

Answer 1

The answer:
ABC, ACD and BDC are right triangles that are similar

since the altitude of the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other, therefore the diagram shows the right triangle similarity theorem, 

this means  ABC ~ ACD ~ BDC 

so the answer is 

ABC ~ BDC