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GMAT Math - Geometry
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Gravity
Terms in this set (32)
convex polygon
A polygon with interior angles that measure less than 180 degrees.
(f) perimeter of a polygon
sum of the lengths of its sides
(f) sum of polygon interior angles
(n-2)180
n = the number of sides of the polygon
name of the side of a triangle opposite the right angle
hypotenuse
(f) Pythagorean theorem
a^2 + b^2 = c^2
Only applies to right triangles
What is the ratio for a 45-45-90 triangle?
1 : 1 : sqrt of 2
What is the ratio for a 30-60-90 triangle?
1 : sqrt of 3 : 2
(f) Area of a triangle
(the length of the altitude) x (the length of the base)
---------------------------------------------
2
(f) Area of a parallelogram
(the length of the altitude) x (the length of the base)
What is a quadrilateral with two sides that are parallel?
trapezoid
(f) Area of a trapezoid
1/2 (sum of bases)(height)
What is a chord of a circle?
a line segment that has its endpoints on the circle
(f) circumference of a circle
2 (3.14) r
r = radius of the circle
(f) area of a circle
(3.14) r^2
r = radius of the circle
(f) length of an arc of a circle
x / 360
x = angle between two circle radius
(d) A line that has exactly one point in common with circle
tangent
(d) What is an inscribed polygon?
If each vertex of a polygon lies on a circle
(d) What is a circumscribed circle?
A circle containing a polygon where each vertex touches the circle
(d) What is a circumscribed polygon?
A polygon where each side is tangent to a circle.
This means the circle is in the polygon.
(d) What is an inscribed circle?
A circle that is contained by a polygon where 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
Where do the 4 quadrants appear?
Diagram
2nd | 1st
-------------------
3rd | 4th
How are coordinate plane points formatted?
(x,y)
(f) How do you determine the distance between 2 points in a coordinate plane?
Draw a triangle and use the Pythagorean theorem
(f) Formula for slope of a line
The difference in the y-coordinates
-----------------------------------------------
The difference in the x-coordinates
(d) What is the y-intercept?
The point where a line intersects the y-axis.
(d) What is the x-intercept?
The point where a line intersects the x-axis.
What direction does a negative line slope slant?
Downward from left to right
(f) Quadratic polynomial function
f (x) = x^2 - 1
Typically used to find coordinates (x, f(x))
(d) What is a proportion?
A statement that two ratios are equal.
Example: 2/3 = 8/12
(d) What is the range for a series of numbers?
The greatest value in the set minus the least value.
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
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