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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. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
Edge
N-2
(n-2)x180/n
x/360 x (pi)r or x/360 x A

2. Surface area of a rectangular solid
(n-2)x180/n
2(lw+lh+wh)
(length)(width)(height)
zero

3. What kind of trapezoid has equal parallel sides?
2(pi)r
Isosceles Trapezoid
D=Square root of (x2-x1)+(y2-y1)
Straight Angle

4. The surface area of a cynlinder plus top and bottom
(pi)rh
Square (versus a rectangle)
2(pi)r
2(pi)rh+2(pi)r

5. Volume of a Sphere
x/360 x (pi)r or x/360 x A
180
4/3(pi)r
360

6. Volume of a Cylinder
D=Square root of (x2-x1)+(y2-y1)
y2-y1/x2-x1
45 45 90 Right triangles (x - x - x*square root of 2)
(pi)rh

7. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
Parallelogram
2(pi)r
Positive

8. Slope
Edge
(pi)r
P=2(l+w)
y2-y1/x2-x1

9. Pi
180
(length)(width)(height)
N-2
Circumference/diameter c/d

10. An Angle that'S 180
A=(side) or A=(diagonal)
Straight Angle
A=(base)(height)
N-2

11. If an arc measures x - the length of the arc is
90
2(lw+lh+wh)
2(pi)r
x/360 x 2(pi)r or x/360 x C

12. Circumference of a circle
Pi(diameter)
Square (versus a rectangle)
180
A=(side) or A=(diagonal)

13. Formula for a diagonal
y2-y1/x2-x1
L+w+h=d
(length)(width)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

14. Area of a circle
N-2
(pi)r
True
6e

15. In any Regular Polygon - the measure of each interior angle
Positive
(n-2)x180/n
360/n
360

16. The area of a sector formed by an arc and 2 radii
Straight Angle
x/360 x (pi)r or x/360 x A
2(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)

17. Distance Formula
x/360 x (pi)r or x/360 x A
(n-2)x180/n
2(pi)rh
D=Square root of (x2-x1)+(y2-y1)

18. If you measure all exterior angles in a polygon - they all equal
P=2(l+w)
y2-y1/x2-x1
360
(pi)rh

19. For any given perimeter - the rectangle with the largest AREA is a
180
A=(base)(height)
Right
Square (versus a rectangle)

20. A quadrilateral where two diagonals bisect each other
Parallelogram
4/3(pi)r
2(pi)rh
True

21. The consecutive angles in a parallelogram equal
Circumference/diameter c/d
y2-y1/x2-x1
180
2(pi)r

22. Area of a Parallelogram:
90
Square (versus a rectangle)
A=(base)(height)
2(pi)rh+2(pi)r

23. The Perimeter of a rectangle
P=2(l+w)
y2-y1/x2-x1
zero
Right

24. Volume of a rectangular solid
x/360 x (pi)r or x/360 x A
x/360 x 2(pi)r or x/360 x C
(length)(width)(height)
Square (versus a rectangle)

25. In any polygon - all external angles equal up to
360
2(pi)rh+2(pi)r
y2-y1/x2-x1
180

26. The Perimeter of a Square
P=4s (s=side)
180
A=(base)(height)
P=2(l+w)

27. Slope of any line that goes down as you move from left to right is
360
Parallelogram
(length)(width)(height)
Negative

28. Vertical lines
Pi(diameter)
2(pi)r
Do not have slopes!
6e

29. The sum of the angles in a quadrilateral is
Square (versus a rectangle)
A=(base1+base2)(height)
D=Square root of (x2-x1)+(y2-y1)
360

30. Slope of any line that goes up from left to right
2(pi)rh+2(pi)r
Parallelogram
2(lw+lh+wh)
Positive

31. 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
180
x/360 x 2(pi)r or x/360 x C
2(pi)rh
360

32. The sum of all angles around a point
P=4s (s=side)
Square (versus a rectangle)
360
(n-2) x 180

33. In a Rectangle - each angles measures
(pi)r
N-2
Pi(diameter)
90

34. In a Regular Polygon - the measure of each exterior angle
2(pi)r
360/n
A=(side) or A=(diagonal)
A=(base)(height)

35. Volume of a cube
Isosceles Trapezoid
Edge
zero
A=(base)(height)

36. If one of the angles formed by an intersection is right - they'Re all right
180
Pi(diameter)
2(pi)rh
True

37. Area of a Trapezoid:
P=2(l+w)
6e
A=(base1+base2)(height)
A=(base)(height)

38. In a rectangle - all angles are
Right
Positive
360/n
L+w+h=d

39. Formula for the surface area of a cube
True
D=Square root of (x2-x1)+(y2-y1)
Parallelogram
6e

40. Circumference of a circle
360
(pi)rh
2(pi)r
y2-y1/x2-x1

41. Area of a Rectangle:
2(pi)rh+2(pi)r
Negative
360
A=(side) or A=(diagonal)

42. The sum of the measures of the n angles in a polygon with n sides
L+w+h=d
(n-2) x 180
2(pi)rh
2(pi)r

43. Any Horizontal line slope
(pi)r
(n-2)x180/n
L+w+h=d
zero

44. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
Straight Angle
180
2(pi)r

45. Surface area of a cylinder
2(pi)rh
Right
x/360 x (pi)r or x/360 x A
2(pi)rh+2(pi)r

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GRE Math: Geometry

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