proving statements in geometry

The locus of a point equidistant from two fixed points is the perpendicular bisector of the segment joining the two points. This theorem is proved in two parts. First prove that any point on the locus satisfies the conditio..

Converse of a Theorem is the transposition of a statement consisting of 'data' and 'to prove' 'Data' becomes 'To Prove' and 'To prove' becomes 'Data' in the converse theore..

Theorem is a statement that is accepted as true only after proving that it is a consequence of the axiom..

Question: If a point C lies between two points A and B such that AC = BC, then prove that Answer: AC = BC (given) AC + AC = BC + AC (equals are added to equals, the wholes are equal) (BC + AC = AB because things which coincide with one another are equal to one anoth..

Consider the statement of a theorem "If a transversal intersects two parallel lines, then pairs of corresponding angles are equal”. This theorem has two parts. If (hypothesis) and then (conclusion). Let us interchange the hypothesis and conclusion and write the stateme..

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