Tag Archives: reflection

Arc of a Circle

is a diameter of a circle of radius unit. is a chord perpendicular to that cuts at . If the arc is of the circumference of the circle, what is the length of the segment ? Source: NCTM Mathematics Teacher, … Continue reading

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Lattice Points

A point with integral coordinates is called a lattice point. For example, is a lattice point, whereas is not. How many lattice points lie on the graph of ? Source: NCTM Mathematics Teacher, January 2006 Solution The graph of is … Continue reading

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Tempted by Triangles

How many different triangles are in a triangular grid? Source: NCTM Problem to Ponder 2/16/2011 SOLUTION We study the problem in a smaller triangular grid as shown below For ease in discussion, we label the rows of triangles as rows … Continue reading

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