If you have already learned about systems of linear equations, then you have probably discussed that the product of the slope of perpendicular lines is . The proof of this theorem comes from the fact that any point rotated 90 degrees at about the origin becomes . One example of this is shown below. The […]

Continue reading…

# Monthly Archives: June 2015

## The Sum and Product of Roots Theorem

From the quadratic formula, we know that the numbers and are the roots of the quadratic equation where if and only if and .

Continue reading…

## Sample Proof on Triangle Congruence Part 3

Recall that for real numbers a, b, and c are real numbers, if and , then . This is called Transitive Property of Equality. This is also the same with congruence. If , , and are polygons, and if is congruent to , and is congruent , then is congruent to . This is called […]

Continue reading…