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(d) What is a circumscribed circle?
A circle containing a polygon where each vertex of the polygon touches the circle
(d) What is a circumscribed polygon?
A polygon that has each side tangent to a circle. The circle is in the polygon.
(d) What is an inscribed circle?
A circle that is contained by a polygon. Each side of the polygon is tangent to the circle.
(d) What type of triangle can be inscribed in a circle so that one of its sides is a diameter of the circle?
A right triangle
(f) How do you determine the distance between 2 points in a coordinate plane?
Draw a triangle and use the Pythagorean theorem
(f) Quadratic polynomial function and purpose
f(x) = x² - 1 Typically used to find coordinates (x, f(x))
How do you determine the standard deviation for a set of numbers?
1 - Find the mean
2 - Find the differences between the mean and each of the n numbers
3 - Square each of the differences
4 - Find the average of the squared differences
5 - Take the nonnegative square root of the average
(d) Factorial n!
The product of all positive integers less than or equal to n i.e. (n)(n-1)(n-2)...(1)
How to find all common factors of two numbers
Break down both numbers to their prime factors to see what factors they have in common. Multiply shared prime factors to find all common factors
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