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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.
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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. If an arc measures x - the length of the arc is
360
Pi(diameter)
(n-2) x 180
x/360 x 2(pi)r or x/360 x C

2. Formula for the surface area of a cube
Negative
Square (versus a rectangle)
360
6e

3. Surface area of a rectangular solid
y2-y1/x2-x1
360
2(lw+lh+wh)
2(pi)rh+2(pi)r

4. The consecutive angles in a parallelogram equal
Isosceles Trapezoid
Square (versus a rectangle)
180
A=(base)(height)

5. In a rectangle - all angles are
Positive
P=2(l+w)
(n-2) x 180
Right

6. The sum of the angles in a quadrilateral is
360
Straight Angle
2(pi)rh
N-2

7. 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
zero
Straight Angle
180
Positive

8. Area of a Parallelogram:
Isosceles Trapezoid
A=(base)(height)
A=(base1+base2)(height)
(n-2) x 180

9. Area of a circle
L+w+h=d
N-2
Square (versus a rectangle)
(pi)r

10. Slope
180
Do not have slopes!
y2-y1/x2-x1
A=(base1+base2)(height)

11. Area of a Rectangle:
A=(side) or A=(diagonal)
Square (versus a rectangle)
Negative
D=Square root of (x2-x1)+(y2-y1)

12. In a Rectangle - each angles measures
2(pi)r
90
360
Parallelogram

13. Circumference of a circle
2(pi)r
2(pi)rh
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!

14. Volume of a Cylinder
Square (versus a rectangle)
(pi)rh
L+w+h=d
2(pi)rh

15. In a Regular Polygon - the measure of each exterior angle
6e
Right
180
360/n

16. The sum of the measures of the n angles in a polygon with n sides
(n-2)x180/n
(n-2) x 180
(pi)rh
P=2(l+w)

17. What kind of trapezoid has equal parallel sides?
x/360 x (pi)r or x/360 x A
Isosceles Trapezoid
360
180

18. The Perimeter of a rectangle
Isosceles Trapezoid
(n-2)x180/n
P=2(l+w)
N-2

19. Circumference of a circle
x/360 x (pi)r or x/360 x A
4/3(pi)r
2(pi)rh+2(pi)r
Pi(diameter)

20. Distance Formula
D=Square root of (x2-x1)+(y2-y1)
4/3(pi)r
2(pi)rh+2(pi)r
(length)(width)(height)

21. Volume of a rectangular solid
2(lw+lh+wh)
(length)(width)(height)
(pi)rh
y2-y1/x2-x1

22. Volume of a cube
A=(side) or A=(diagonal)
Edge
(length)(width)(height)
2(pi)rh

23. A quadrilateral where two diagonals bisect each other
y2-y1/x2-x1
180
A=(base)(height)
Parallelogram

24. Surface area of a cylinder
2(pi)rh
6e
(n-2)x180/n
A=(base)(height)

25. The sum of all angles around a point
(pi)rh
True
D=Square root of (x2-x1)+(y2-y1)
360

26. For any given Area - the rectangle with the smallest perimeter is a
Negative
2(pi)rh+2(pi)r
Edge
Square (versus a rectangle)

27. In any polygon - all external angles equal up to
360
Parallelogram
4/3(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)

28. Pi
(pi)r
Negative
Circumference/diameter c/d
A=(base1+base2)(height)

29. Slope of any line that goes down as you move from left to right is
(pi)rh
Isosceles Trapezoid
2(pi)rh+2(pi)r
Negative

30. The surface area of a cynlinder plus top and bottom
Parallelogram
Square (versus a rectangle)
2(pi)rh+2(pi)r
(n-2) x 180

31. An Angle that'S 180
Straight Angle
x/360 x (pi)r or x/360 x A
90
2(pi)r

32. Any Horizontal line slope
N-2
zero
360
360/n

33. The area of a sector formed by an arc and 2 radii
6e
360
x/360 x (pi)r or x/360 x A
2(lw+lh+wh)

34. Area of a Trapezoid:
(pi)rh
Pi(diameter)
Straight Angle
A=(base1+base2)(height)

35. If you measure all exterior angles in a polygon - they all equal
Right
2(pi)r
360
Pi(diameter)

36. For any given perimeter - the rectangle with the largest AREA is a
2(lw+lh+wh)
Right
4/3(pi)r
Square (versus a rectangle)

37. Volume of a Sphere
True
Negative
4/3(pi)r
360/n

38. If one of the angles formed by an intersection is right - they'Re all right
360
A=(base)(height)
360
True

39. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
P=2(l+w)
90
P=4s (s=side)

40. Vertical lines
Negative
Do not have slopes!
A=(side) or A=(diagonal)
Isosceles Trapezoid

41. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
Straight Angle
360
Circumference/diameter c/d

42. The Perimeter of a Square
P=4s (s=side)
360
P=2(l+w)
6e

43. Slope of any line that goes up from left to right
180
90
Positive
Isosceles Trapezoid

44. In any Regular Polygon - the measure of each interior angle
4/3(pi)r
Negative
(n-2)x180/n
Pi(diameter)

45. Formula for a diagonal
True
Edge
L+w+h=d
360/n

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GRE Math: Geometry

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