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

There is more than one answer; the answers are, ABD~BCD, ABC~BDC, and ABC~ACB.

Explanation:

Answer 2

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