The Company Logo

Points A and B can be moved freely about the space. Make a conjecture about the shaded triangles in the logo. Prove that your conjecture is true for all cases.
How many squares do you see? Describe where you see them. The logo designer colored two triangles in the logo. How are the two triangles related? Justify your answer. What is the relationship between the sizes of the three squares in the original logo? Explain your findings.