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Notes On Geometry

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Published in: Mathematics
1,061 Views

Postulates in Geometry

Fatima J / Hyderabad

11 years of teaching experience

Qualification: M.Sc (vbs purvanchal university - 2017)

Teaches: Basic Computer, MS Office, School Level Computer, Computer Science, Mathematics, Physics, Statistics, Science, B.Sc Tuition, B.Tech Tuition

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  1. POSTULATES IN GEOMETRY TRANSITIVE POSTULATE: Equal things are equal to each other. SUBSTITUTION POSTULATE: A quantity may be substituted for its equal in any expression or equation. PARTITION POSTULATE: The whole equals the sum of its parts. REFLEXIVE OR IDENTITY POSTULATE: Any quantity equals itself. ADDITION POSTULATE: If equals are added to equals, the sums are equal. MULTIPLICATION POSTULATE: If equals are multiplied to equals, the products are equal. a = b, c = d ac = bd DIVISION POSTULATE: If equals are divided by equal, the quotients are equal. a = b, c = d a/c = b/d
  2. POWERS POSTULATES: Like powers of equals are equal. ROOTS POSTULATE: Like roots of equals are equal.