"显示连环遗传的" can be translated as "demonstrating/showing linked inheritance" or "indicating/exhibiting linked genetic transmission" in English, depending on the specific context and the intended nuance.
"Demonstrating/showing linked inheritance" emphasizes the act of illustrating or presenting evidence of linked genetic traits being passed down together.
"Indicating/exhibiting linked genetic transmission" focuses more on the characteristic or property of showing that genetic traits are transmitted in a linked manner.
Choose the phrase that best fits your sentence or context.