Jun 072014
Squares, Triangles, and Van-Aubel's Theorem

Problem In the figure, H is the midpoint of side BC of ΔABC. The points I and J are the intersection of the diagonals of square ABDE and square ACGF respectively, that is they are the centers of the square. Prove that IH and HJ are congruent and that angle IHJ is a right angle. [...]

May 252014
What is the point of tangency - no calculus, please

Problem Two lines intersect the graph . The secant line intersects the graph at point A and B and the tangent line which is parallel to the secant, touches the graph at point E. You can read the coordinates of A and B from the graph but not E. What are the coordinates of E? [...]

Apr 102014
Algebraic Expressions Divisible by 3

Problem If a+2 is divisible by 3, which of the following expressions is/are also divisible by 3? A. 3+2a B. 5a-2 C. 8+7a D. 1+5a Solution When a number is divisible by 3 then it is a multiple of 3. So, if it is given that a+2 is divisible by 3 then a+2 is a [...]

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