Determine if the statement below is true or false. If it's true, give a proof. If it's not, give an example which shows it's false. "For all sets A, B, C, we have AU (BNC) = (AUB) N (AUC)."

In the diagram below, AHIK ≈ AJGK. H I GK IK AIJK AGHK K Tara wants to prove that ZHGK ≈ ZJIK. Which of these statements can Tara make about the diagram to use in her proof? Select all that apply. ZHIK ZKIJ G ZGKH ZIKJ J HK JK HJ IG

Prove or disprove: If a I (b + c), then either a I b or a I c.

Justify each claim of the proof