Home›MPPSC Forest›State Forest Service Mains Exam›Section 'B': Forestry and General Science›UNIT-10: Elementary Mathematics and General Mental Ability›Line and angles, parallels, triangles, congruence, inequalities, parallelograms, applications of parallels, bisectors, perpendiculars etc.›In the given figure, ABC is an isosceles triangle such that AB = BC.

In the given figure, ABC is an isosceles triangle such that AB = BC. The lines DE and FG are parallel to AB. Then which of the following option is not true ?

20203M#mppsc-forest#pyq#mcq#2020
A.DC = EC
B.FC = GC
C.FG = GCCorrect
D.DF = EG
Explanation & Solution

Correct Answer: (C) FG = GC

Based on the geometric properties of parallel lines intersecting an isosceles triangle, FG = GC is not a true relation among the segments.

हिंदी में प्रश्न एवं आदर्श उत्तर

दिए गए चित्र में समद्विबाहु त्रिभुज ABC इस प्रकार है कि AB = BC, DE और FG, AB के समान्तर रेखाएँ हैं। तब निम्नलिखित में से कौन-सा पर्याय सत्य नहीं है ?

A.DC = EC
B.FC = GC
C.FG = GCसही
D.DF = EG

सही उत्तर: (C) FG = GC

समद्विबाहु त्रिभुज को काटने वाली समान्तर रेखाओं के ज्यामितीय गुणों के आधार पर FG = GC संबंध सत्य नहीं है।

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