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GRE Math: Geometry

Instructions:

Answer 45 questions in 15 minutes.
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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. Formula for the surface area of a cube
4/3(pi)r
x/360 x 2(pi)r or x/360 x C
Parallelogram
6e

2. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
L+w+h=d
x/360 x 2(pi)r or x/360 x C
P=4s (s=side)
N-2

3. Formula for a diagonal
360
(n-2) x 180
L+w+h=d
360

4. Volume of a Sphere
4/3(pi)r
y2-y1/x2-x1
x/360 x (pi)r or x/360 x A
Circumference/diameter c/d

5. The surface area of a cynlinder plus top and bottom
(pi)r
A=(base)(height)
Isosceles Trapezoid
2(pi)rh+2(pi)r

6. Any Horizontal line slope
zero
(pi)r
360
N-2

7. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
L+w+h=d
(pi)rh
D=Square root of (x2-x1)+(y2-y1)

8. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
Isosceles Trapezoid
Negative
360

9. Area of a circle
L+w+h=d
180
(pi)r
Square (versus a rectangle)

10. The Perimeter of a rectangle
P=2(l+w)
360
x/360 x 2(pi)r or x/360 x C
360

11. Volume of a cube
360
Edge
P=2(l+w)
360

12. The sum of all angles around a point
2(lw+lh+wh)
(pi)rh
360
(length)(width)(height)

13. Area of a Rectangle:
Positive
2(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)
A=(side) or A=(diagonal)

14. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
360
4/3(pi)r
True

15. Vertical lines
4/3(pi)r
Right
Do not have slopes!
Positive

16. If you measure all exterior angles in a polygon - they all equal
Edge
zero
360
2(pi)rh

17. If one of the angles formed by an intersection is right - they'Re all right
True
360
Square (versus a rectangle)
x/360 x (pi)r or x/360 x A

18. In a Rectangle - each angles measures
A=(base)(height)
Square (versus a rectangle)
L+w+h=d
90

19. The Perimeter of a Square
P=4s (s=side)
(pi)r
x/360 x (pi)r or x/360 x A
2(pi)rh+2(pi)r

20. Circumference of a circle
zero
Pi(diameter)
Square (versus a rectangle)
A=(base1+base2)(height)

21. Area of a Trapezoid:
A=(base1+base2)(height)
(length)(width)(height)
y2-y1/x2-x1
Edge

22. Each diagonal divides a square into 2
4/3(pi)r
360/n
45 45 90 Right triangles (x - x - x*square root of 2)
Negative

23. Area of a Parallelogram:
90
True
A=(base)(height)
L+w+h=d

24. Circumference of a circle
Isosceles Trapezoid
Circumference/diameter c/d
2(pi)r
(length)(width)(height)

25. In a rectangle - all angles are
(pi)rh
(length)(width)(height)
x/360 x (pi)r or x/360 x A
Right

26. An Angle that'S 180
Straight Angle
2(pi)rh+2(pi)r
(pi)rh
360

27. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
D=Square root of (x2-x1)+(y2-y1)
4/3(pi)r
(n-2)x180/n

28. Slope of any line that goes up from left to right
360
y2-y1/x2-x1
Positive
2(pi)rh+2(pi)r

29. Distance Formula
D=Square root of (x2-x1)+(y2-y1)
360
P=4s (s=side)
A=(base)(height)

30. Volume of a rectangular solid
A=(side) or A=(diagonal)
A=(base1+base2)(height)
(length)(width)(height)
A=(base)(height)

31. For any given perimeter - the rectangle with the largest AREA is a
(pi)rh
y2-y1/x2-x1
Pi(diameter)
Square (versus a rectangle)

32. The area of a sector formed by an arc and 2 radii
90
True
x/360 x (pi)r or x/360 x A
4/3(pi)r

33. Surface area of a rectangular solid
N-2
6e
A=(base)(height)
2(lw+lh+wh)

34. In a Regular Polygon - the measure of each exterior angle
Right
Circumference/diameter c/d
360/n
y2-y1/x2-x1

35. Slope of any line that goes down as you move from left to right is
(n-2)x180/n
Straight Angle
Negative
(length)(width)(height)

36. Volume of a Cylinder
x/360 x (pi)r or x/360 x A
True
180
(pi)rh

37. In any polygon - all external angles equal up to
6e
x/360 x 2(pi)r or x/360 x C
90
360

38. The consecutive angles in a parallelogram equal
Square (versus a rectangle)
180
360
(pi)r

39. Pi
D=Square root of (x2-x1)+(y2-y1)
Circumference/diameter c/d
A=(base)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

40. The sum of the angles in a quadrilateral is
x/360 x 2(pi)r or x/360 x C
(pi)rh
360
180

41. Surface area of a cylinder
Circumference/diameter c/d
2(pi)rh
(length)(width)(height)
Isosceles Trapezoid

42. In any Regular Polygon - the measure of each interior angle
y2-y1/x2-x1
360
(n-2)x180/n
180

43. 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
(pi)rh
A=(side) or A=(diagonal)
360
180

44. Slope
(length)(width)(height)
y2-y1/x2-x1
Square (versus a rectangle)
360

45. A quadrilateral where two diagonals bisect each other
N-2
Parallelogram
Edge
2(lw+lh+wh)

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GRE Math: Geometry

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