f the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a parallelogram.
Question
Solution 1
Sure, here is the step by step proof:
Step 1: Let's consider a quadrilateral ABCD. Let the bisectors of ∠A, ∠B, ∠C and ∠D meet at points E, F, G and H respectively.
Step 2: We are given that EFGH is a rectangle. This means ∠EFG = ∠FGH = ∠GHF = ∠HFE = 90°.
Step 3: Since EF and GH are opposite side Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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