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Please explain converse of basic proportionality theorem step by step |
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Answer» Step-by-step explanation: 1. XPPY = XQQZ. 1. Given 2. PYXP = QZXQ 2. Taking reciprocals of both SIDES in statement 1. 3. PYXP + 1 = QZXQ + 1 ⟹ PY+XPXP = QZ+XQXQ ⟹ XYXP = XZXQ 3. By adding 1 on both sides of statement 2. 4. In ∆XYZ and ∆XPQ, (i) XYXP = XZXQ (ii) ∠YXZ = ∠PXQ 4. (i) From statement 3. (ii) COMMON angle 5. THEREFORE, ∆XYZ ∼ ∆XPQ 5. By SAS criterion of similarity |
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