मराठी

In the given figure, AB//DC//EF and E is mid-point of side AD, then:

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प्रश्न

In the given figure, AB//DC//EF and E is mid-point of side AD, then:

पर्याय

  • OE : OF = 11 : 3

  • OE = OF

  • OF = 2 × OE

  • CF = FB

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उत्तर

CF = FB

Explanation:

By the Intercept Theorem, a set of parallel lines (AB || DC || EF) cuts off proportional intercepts on any two transversals. Since E is the midpoint of side AD (AE = ED), the parallel line segment EF must also bisect the other transversal, BC, at point F, so CF = FB.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Mid-point Theorem and Its Converse [Including Intercept Theorem] - TEST YOURSELF [पृष्ठ १७३]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 11 Mid-point Theorem and Its Converse [Including Intercept Theorem]
TEST YOURSELF | Q 1. (c) | पृष्ठ १७३
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