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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 a diagonal
Edge
2(lw+lh+wh)
Square (versus a rectangle)
L+w+h=d

2. In a rectangle - all angles are
Square (versus a rectangle)
(n-2)x180/n
Right
Circumference/diameter c/d

3. Slope of any line that goes down as you move from left to right is
Negative
x/360 x (pi)r or x/360 x A
Right
Edge

4. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
360
2(pi)rh+2(pi)r
A=(base)(height)

5. 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
Positive
180
x/360 x (pi)r or x/360 x A
(pi)r

6. Surface area of a cylinder
2(pi)rh+2(pi)r
zero
P=2(l+w)
2(pi)rh

7. Circumference of a circle
(length)(width)(height)
x/360 x 2(pi)r or x/360 x C
2(pi)rh
Pi(diameter)

8. Volume of a Cylinder
Do not have slopes!
(pi)rh
P=4s (s=side)
Square (versus a rectangle)

9. Area of a Trapezoid:
45 45 90 Right triangles (x - x - x*square root of 2)
A=(base1+base2)(height)
2(pi)rh+2(pi)r
(pi)r

10. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r
6e
2(lw+lh+wh)
True

11. The area of a sector formed by an arc and 2 radii
360
45 45 90 Right triangles (x - x - x*square root of 2)
Circumference/diameter c/d
x/360 x (pi)r or x/360 x A

12. Volume of a cube
Right
360
360
Edge

13. In a Regular Polygon - the measure of each exterior angle
90
Do not have slopes!
D=Square root of (x2-x1)+(y2-y1)
360/n

14. Any Horizontal line slope
180
zero
Edge
Right

15. Formula for the surface area of a cube
Right
L+w+h=d
4/3(pi)r
6e

16. Each diagonal divides a square into 2
A=(base1+base2)(height)
D=Square root of (x2-x1)+(y2-y1)
45 45 90 Right triangles (x - x - x*square root of 2)
360

17. Vertical lines
Positive
Do not have slopes!
Isosceles Trapezoid
(n-2)x180/n

18. The Perimeter of a Square
P=4s (s=side)
Edge
L+w+h=d
180

19. Slope
N-2
y2-y1/x2-x1
2(pi)r
D=Square root of (x2-x1)+(y2-y1)

20. Area of a circle
(pi)r
Pi(diameter)
A=(base1+base2)(height)
A=(base)(height)

21. Volume of a rectangular solid
Circumference/diameter c/d
Positive
(n-2) x 180
(length)(width)(height)

22. Circumference of a circle
2(pi)r
x/360 x 2(pi)r or x/360 x C
Do not have slopes!
Pi(diameter)

23. In any Regular Polygon - the measure of each interior angle
True
360
(n-2)x180/n
Negative

24. Slope of any line that goes up from left to right
Positive
Do not have slopes!
Square (versus a rectangle)
(n-2)x180/n

25. Surface area of a rectangular solid
(pi)r
(n-2) x 180
y2-y1/x2-x1
2(lw+lh+wh)

26. The sum of the angles in a quadrilateral is
45 45 90 Right triangles (x - x - x*square root of 2)
L+w+h=d
360
Square (versus a rectangle)

27. Pi
Circumference/diameter c/d
4/3(pi)r
Pi(diameter)
Square (versus a rectangle)

28. In a Rectangle - each angles measures
(pi)r
Positive
D=Square root of (x2-x1)+(y2-y1)
90

29. The Perimeter of a rectangle
2(pi)rh+2(pi)r
L+w+h=d
P=2(l+w)
Do not have slopes!

30. The consecutive angles in a parallelogram equal
180
P=2(l+w)
360
2(pi)rh

31. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
(length)(width)(height)
(pi)r
y2-y1/x2-x1

32. For any given Area - the rectangle with the smallest perimeter is a
360
Square (versus a rectangle)
2(pi)rh
zero

33. Area of a Parallelogram:
L+w+h=d
(length)(width)(height)
True
A=(base)(height)

34. A quadrilateral where two diagonals bisect each other
Parallelogram
45 45 90 Right triangles (x - x - x*square root of 2)
x/360 x 2(pi)r or x/360 x C
Positive

35. An Angle that'S 180
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
Straight Angle
2(lw+lh+wh)

36. Volume of a Sphere
4/3(pi)r
(length)(width)(height)
D=Square root of (x2-x1)+(y2-y1)
(n-2) x 180

37. If you measure all exterior angles in a polygon - they all equal
zero
360
Circumference/diameter c/d
A=(base1+base2)(height)

38. The sum of all angles around a point
(pi)r
360
L+w+h=d
P=4s (s=side)

39. Area of a Rectangle:
(n-2) x 180
A=(side) or A=(diagonal)
P=2(l+w)
(pi)r

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

41. If one of the angles formed by an intersection is right - they'Re all right
True
6e
L+w+h=d
N-2

42. Distance Formula
x/360 x 2(pi)r or x/360 x C
(length)(width)(height)
L+w+h=d
D=Square root of (x2-x1)+(y2-y1)

43. In any polygon - all external angles equal up to
2(lw+lh+wh)
360
Square (versus a rectangle)
Parallelogram

44. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
Pi(diameter)
2(lw+lh+wh)
360

45. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
x/360 x (pi)r or x/360 x A
D=Square root of (x2-x1)+(y2-y1)
(n-2)x180/n

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GRE Math: Geometry

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