Tag Archives: locus of points

A challenging complex number problem with solution

This complex number problem was selected on the basis of its uniqueness in terms of phrasing things within the Argand diagram/locus context. While my proposed solutions might be short, bear in mind this question truly demands/challenges the student to think unconventionally in order to formulate a viable solving approach.   Problem A complex number is… Read More »

Twelve definitions of a square

How does mathematics define a math concept? Definitions of concepts in mathematics are different from definitions of concepts in other discipline or subject area. A definition of a concept in mathematics give a list of properties of that concept. A mathematics object will only be an example of that concept if it fits ALL those requirements, not… Read More »

Problem on proving perpendicular segments

This problem is a model created to solve the problem posed in the lesson Collapsible. In the figure CF = FB = FE. If C is moved along CB, describe the paths of F and E. Explain or prove that they are so. This problem can be explored using GeoGebra applet.  Click this link to explore… Read More »

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