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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. Area of a Rectangle:
x/360 x (pi)r or x/360 x A
L+w+h=d
A=(side) or A=(diagonal)
Isosceles Trapezoid

2. Formula for the surface area of a cube
6e
2(pi)r
Parallelogram
4/3(pi)r

3. Any Horizontal line slope
L+w+h=d
2(lw+lh+wh)
zero
Pi(diameter)

4. If you measure all exterior angles in a polygon - they all equal
2(pi)r
Edge
L+w+h=d
360

5. In a Rectangle - each angles measures
Square (versus a rectangle)
y2-y1/x2-x1
90
Do not have slopes!

6. Volume of a cube
Edge
360
Do not have slopes!
D=Square root of (x2-x1)+(y2-y1)

7. Volume of a Cylinder
4/3(pi)r
Square (versus a rectangle)
(pi)rh
N-2

8. Distance Formula
45 45 90 Right triangles (x - x - x*square root of 2)
4/3(pi)r
Circumference/diameter c/d
D=Square root of (x2-x1)+(y2-y1)

9. Area of a Parallelogram:
A=(base)(height)
180
90
2(pi)r

10. The sum of all angles around a point
N-2
2(pi)rh
360
Parallelogram

11. A quadrilateral where two diagonals bisect each other
Negative
Parallelogram
4/3(pi)r
A=(side) or A=(diagonal)

12. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
L+w+h=d
2(lw+lh+wh)
N-2
(n-2)x180/n

13. If an arc measures x - the length of the arc is
D=Square root of (x2-x1)+(y2-y1)
360
x/360 x 2(pi)r or x/360 x C
N-2

14. In any Regular Polygon - the measure of each interior angle
2(lw+lh+wh)
(n-2)x180/n
y2-y1/x2-x1
L+w+h=d

15. The Perimeter of a Square
Parallelogram
D=Square root of (x2-x1)+(y2-y1)
x/360 x 2(pi)r or x/360 x C
P=4s (s=side)

16. What kind of trapezoid has equal parallel sides?
(length)(width)(height)
360/n
Isosceles Trapezoid
2(pi)rh+2(pi)r

17. 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
x/360 x (pi)r or x/360 x A
Square (versus a rectangle)
180
360

18. In a Regular Polygon - the measure of each exterior angle
Isosceles Trapezoid
y2-y1/x2-x1
Pi(diameter)
360/n

19. Slope of any line that goes up from left to right
Positive
360
2(lw+lh+wh)
Square (versus a rectangle)

20. For any given perimeter - the rectangle with the largest AREA is a
2(pi)rh
360/n
Square (versus a rectangle)
2(pi)rh+2(pi)r

21. The surface area of a cynlinder plus top and bottom
Do not have slopes!
y2-y1/x2-x1
2(pi)rh+2(pi)r
D=Square root of (x2-x1)+(y2-y1)

22. The Perimeter of a rectangle
(length)(width)(height)
Negative
P=2(l+w)
(n-2) x 180

23. Circumference of a circle
360
A=(side) or A=(diagonal)
Pi(diameter)
Do not have slopes!

24. The sum of the angles in a quadrilateral is
360
P=4s (s=side)
Circumference/diameter c/d
A=(base1+base2)(height)

25. Area of a Trapezoid:
(length)(width)(height)
A=(base1+base2)(height)
Isosceles Trapezoid
45 45 90 Right triangles (x - x - x*square root of 2)

26. Formula for a diagonal
x/360 x (pi)r or x/360 x A
(n-2)x180/n
L+w+h=d
Pi(diameter)

27. In a rectangle - all angles are
Negative
True
Positive
Right

28. If one of the angles formed by an intersection is right - they'Re all right
Square (versus a rectangle)
360
True
(length)(width)(height)

29. The area of a sector formed by an arc and 2 radii
y2-y1/x2-x1
Square (versus a rectangle)
x/360 x (pi)r or x/360 x A
x/360 x 2(pi)r or x/360 x C

30. Circumference of a circle
(pi)r
A=(base)(height)
Square (versus a rectangle)
2(pi)r

31. Vertical lines
45 45 90 Right triangles (x - x - x*square root of 2)
N-2
Do not have slopes!
A=(base1+base2)(height)

32. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
360/n
Edge
90

33. Area of a circle
360
A=(base1+base2)(height)
180
(pi)r

34. Volume of a Sphere
4/3(pi)r
N-2
Square (versus a rectangle)
180

35. Slope
y2-y1/x2-x1
P=4s (s=side)
A=(base1+base2)(height)
2(pi)rh

36. Each diagonal divides a square into 2
Parallelogram
A=(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
x/360 x (pi)r or x/360 x A

37. Surface area of a cylinder
Parallelogram
2(pi)rh
2(pi)r
L+w+h=d

38. Slope of any line that goes down as you move from left to right is
Negative
360
Pi(diameter)
360

39. An Angle that'S 180
Negative
(pi)r
Straight Angle
180

40. The consecutive angles in a parallelogram equal
180
Parallelogram
Straight Angle
Pi(diameter)

41. Surface area of a rectangular solid
Pi(diameter)
x/360 x (pi)r or x/360 x A
2(lw+lh+wh)
90

42. Volume of a rectangular solid
(length)(width)(height)
(pi)rh
360
y2-y1/x2-x1

43. Pi
Circumference/diameter c/d
(n-2) x 180
L+w+h=d
x/360 x (pi)r or x/360 x A

44. The sum of the measures of the n angles in a polygon with n sides
90
(n-2) x 180
Straight Angle
(pi)r

45. In any polygon - all external angles equal up to
360
P=4s (s=side)
Square (versus a rectangle)
2(pi)rh

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GRE Math: Geometry

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