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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. Volume of a Sphere
(length)(width)(height)
4/3(pi)r
A=(base)(height)
Right

2. For any given Area - the rectangle with the smallest perimeter is a
Parallelogram
Square (versus a rectangle)
D=Square root of (x2-x1)+(y2-y1)
Edge

3. In any polygon - all external angles equal up to
Square (versus a rectangle)
Positive
(length)(width)(height)
360

4. In a Rectangle - each angles measures
x/360 x 2(pi)r or x/360 x C
(n-2)x180/n
2(pi)rh
90

5. The Perimeter of a rectangle
6e
2(pi)rh
(length)(width)(height)
P=2(l+w)

6. Slope
y2-y1/x2-x1
(pi)r
Square (versus a rectangle)
P=4s (s=side)

7. Distance Formula
Edge
360
D=Square root of (x2-x1)+(y2-y1)
(pi)rh

8. The Perimeter of a Square
P=4s (s=side)
180
Edge
2(pi)rh+2(pi)r

9. The sum of the measures of the n angles in a polygon with n sides
y2-y1/x2-x1
4/3(pi)r
P=4s (s=side)
(n-2) x 180

10. Volume of a Cylinder
(pi)rh
x/360 x (pi)r or x/360 x A
360
4/3(pi)r

11. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
180
(length)(width)(height)
(n-2)x180/n

12. Volume of a cube
Parallelogram
x/360 x (pi)r or x/360 x A
360
Edge

13. Surface area of a cylinder
360
y2-y1/x2-x1
2(pi)rh
True

14. Slope of any line that goes up from left to right
6e
4/3(pi)r
D=Square root of (x2-x1)+(y2-y1)
Positive

15. The consecutive angles in a parallelogram equal
180
4/3(pi)r
(length)(width)(height)
Square (versus a rectangle)

16. 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
zero
x/360 x (pi)r or x/360 x A
(pi)r

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

18. Circumference of a circle
Square (versus a rectangle)
Isosceles Trapezoid
zero
2(pi)r

19. In any Regular Polygon - the measure of each interior angle
4/3(pi)r
6e
(n-2)x180/n
N-2

20. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
L+w+h=d
P=4s (s=side)
True

21. Circumference of a circle
90
2(lw+lh+wh)
Pi(diameter)
x/360 x (pi)r or x/360 x A

22. Area of a circle
Circumference/diameter c/d
(pi)r
Negative
360

23. The sum of all angles around a point
360
zero
Positive
4/3(pi)r

24. What kind of trapezoid has equal parallel sides?
2(pi)rh
45 45 90 Right triangles (x - x - x*square root of 2)
360
Isosceles Trapezoid

25. The sum of the angles in a quadrilateral is
y2-y1/x2-x1
180
360
Parallelogram

26. In a Regular Polygon - the measure of each exterior angle
Parallelogram
360/n
2(pi)r
Do not have slopes!

27. The surface area of a cynlinder plus top and bottom
360
2(pi)rh+2(pi)r
(n-2)x180/n
360

28. If one of the angles formed by an intersection is right - they'Re all right
True
Do not have slopes!
y2-y1/x2-x1
2(pi)r

29. An Angle that'S 180
6e
Straight Angle
360/n
Square (versus a rectangle)

30. Formula for a diagonal
4/3(pi)r
N-2
L+w+h=d
Right

31. Vertical lines
Do not have slopes!
Straight Angle
(length)(width)(height)
True

32. The area of a sector formed by an arc and 2 radii
2(pi)rh
2(pi)rh+2(pi)r
x/360 x (pi)r or x/360 x A
(length)(width)(height)

33. Area of a Parallelogram:
A=(base)(height)
2(pi)r
True
(n-2) x 180

34. Area of a Trapezoid:
Do not have slopes!
Straight Angle
zero
A=(base1+base2)(height)

35. If you measure all exterior angles in a polygon - they all equal
360
P=2(l+w)
Positive
2(pi)rh

36. Area of a Rectangle:
A=(side) or A=(diagonal)
90
180
Square (versus a rectangle)

37. Volume of a rectangular solid
6e
P=2(l+w)
(length)(width)(height)
Pi(diameter)

38. Slope of any line that goes down as you move from left to right is
(n-2)x180/n
(pi)r
Right
Negative

39. Any Horizontal line slope
zero
A=(base)(height)
Straight Angle
Right

40. Pi
A=(base)(height)
Circumference/diameter c/d
Parallelogram
Pi(diameter)

41. Formula for the surface area of a cube
6e
zero
Straight Angle
True

42. Surface area of a rectangular solid
6e
2(lw+lh+wh)
(n-2)x180/n
45 45 90 Right triangles (x - x - x*square root of 2)

43. If an arc measures x - the length of the arc is
D=Square root of (x2-x1)+(y2-y1)
A=(base)(height)
x/360 x 2(pi)r or x/360 x C
4/3(pi)r

44. A quadrilateral where two diagonals bisect each other
Parallelogram
360
(length)(width)(height)
A=(base1+base2)(height)

45. In a rectangle - all angles are
y2-y1/x2-x1
180
Right
A=(base)(height)

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GRE Math: Geometry

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