GRE Math: Geometry

Instructions:

• Answer 45 questions in 15 minutes.
• If you are not ready to take this test, you can study here.
• Match each statement with the correct term.
• Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Area of a Trapezoid:
6e²
4/3(pi)r³
A=½(base1+base2)(height)
Negative


2. Volume of a rectangular solid
(length)(width)(height)
A=(base)(height)
zero
2(pi)rh+2(pi)r²


3. Circumference of a circle
Pi(diameter)
A=½(base1+base2)(height)
360°
Right


4. The sum of all angles around a point
(length)(width)(height)
A=(side)² or A=½(diagonal)²
360°
Edge³


5. For any given Area - the rectangle with the smallest perimeter is a
Straight Angle
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
x/360 x (pi)r² or x/360 x A


6. Slope
Straight Angle
Pi(diameter)
Parallelogram
y2-y1/x2-x1


7. Area of a Parallelogram:
360°
4/3(pi)r³
(pi)r²
A=(base)(height)


8. Pi
Straight Angle
Negative
Circumference/diameter c/d
360/n


9. If you measure all exterior angles in a polygon - they all equal
(pi)r²
360/n
360°
zero


10. Formula for a diagonal
360°
Negative
L²+w²+h²=d²
2(pi)r


11. Area of a circle
2(lw+lh+wh)
(pi)r²
Right
N-2


12. Surface area of a rectangular solid
2(lw+lh+wh)
x/360 x (pi)r² or x/360 x A
360°
360°


13. Volume of a cube
Edge³
Square (versus a rectangle)
360/n
4/3(pi)r³


14. In any polygon - all external angles equal up to
360°
2(pi)rh
y2-y1/x2-x1
6e²


15. A quadrilateral where two diagonals bisect each other
360°
Pi(diameter)
(n-2) x 180
Parallelogram


16. In a Regular Polygon - the measure of each exterior angle
360/n
P=4s (s=side)
360°
zero


17. The surface area of a cynlinder plus top and bottom
Isosceles Trapezoid
2(pi)rh+2(pi)r²
360/n
(n-2)x180/n


18. Formula for the surface area of a cube
True
6e²
2(pi)rh+2(pi)r²
Isosceles Trapezoid


19. If an arc measures x - the length of the arc is
360/n
90°
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)


20. Slope of any line that goes up from left to right
90°
D=Square root of (x2-x1)²+(y2-y1)²
360°
Positive


21. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
Right
180°
P=2(l+w)


22. The Perimeter of a rectangle
(n-2) x 180
P=2(l+w)
Edge³
360°


23. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
180°
Parallelogram
(n-2)x180/n
N-2


24. The area of a sector formed by an arc and 2 radii
zero
(length)(width)(height)
x/360 x (pi)r² or x/360 x A
Pi(diameter)


25. What kind of trapezoid has equal parallel sides?
(length)(width)(height)
2(lw+lh+wh)
Isosceles Trapezoid
180


26. The sum of the angles in a quadrilateral is
360°
2(lw+lh+wh)
L²+w²+h²=d²
2(pi)rh+2(pi)r²


27. The Perimeter of a Square
Right
P=4s (s=side)
360/n
360°


28. Volume of a Cylinder
Right
L²+w²+h²=d²
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²h


29. The sum of the measures of the n angles in a polygon with n sides
zero
Square (versus a rectangle)
(n-2) x 180
Right


30. If one of the angles formed by an intersection is right - they'Re all right
P=2(l+w)
True
360/n
Edge³


31. Any Horizontal line slope
2(pi)rh
P=2(l+w)
(length)(width)(height)
zero


32. For any given perimeter - the rectangle with the largest AREA is a
(pi)r²
Square (versus a rectangle)
(n-2) x 180
360/n


33. An Angle that'S 180°
360°
Straight Angle
A=(side)² or A=½(diagonal)²
P=4s (s=side)


34. The consecutive angles in a parallelogram equal
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)rh+2(pi)r²
2(pi)r
180°


35. Circumference of a circle
360°
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)r
360°


36. Volume of a Sphere
2(lw+lh+wh)
y2-y1/x2-x1
360°
4/3(pi)r³


37. Each diagonal divides a square into 2
360/n
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!
2(pi)rh+2(pi)r²


38. Vertical lines
(n-2) x 180
P=4s (s=side)
360°
Do not have slopes!


39. Slope of any line that goes down as you move from left to right is
Parallelogram
(pi)r²
Negative
D=Square root of (x2-x1)²+(y2-y1)²


40. Surface area of a cylinder
90°
2(pi)rh
4/3(pi)r³
2(pi)r


41. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
N-2
180
(pi)r²
A=½(base1+base2)(height)


42. In a Rectangle - each angles measures
y2-y1/x2-x1
180°
(length)(width)(height)
90°


43. Distance Formula
180
45 45 90 Right triangles (x - x - x*square root of 2)
D=Square root of (x2-x1)²+(y2-y1)²
A=(side)² or A=½(diagonal)²


44. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
A=(side)² or A=½(diagonal)²
2(lw+lh+wh)
Isosceles Trapezoid


45. In a rectangle - all angles are
Right
x/360 x 2(pi)r or x/360 x C
2(pi)rh
90°