Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
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Question: Tagalog sentence: Patunayan na ang ay tirik na ang linya sa pamamagitan ng midpoints ng at .

Answer: Prove that is perpendicular to the line through the midpoints of and .


Question: Tagalog sentence: Sa pamamagitan ng pagkain tulad ng pagkain, magdagdag kami ng bakterya na kung saan ay nagdadalubhasang sa digest sinabi pagkain.

Answer: By eating such foods, we add bacteria which are specialized to digest said foods.


Question: Tagalog sentence: Nangangamba silang mauulit ang masaker na naganap noong 2004 kung saan pinaputukan ng pinagsanib na pwersa ng militar, pulis at mga gwardya ng asyenda ang nakawelgang mga manggagawang bukid.

Answer:
They expressed concern that the 2004 massacre where combined forces of the military, police and the hacienda's armed guards opened fire on striking farm workers.