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GRE Math: Geometry

Instructions:

Answer 45 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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)
2(pi)rh+2(pi)r²
360°
N-2
45 45 90 Right triangles (x - x - x*square root of 2)

2. Area of a Trapezoid:
L²+w²+h²=d²
45 45 90 Right triangles (x - x - x*square root of 2)
Circumference/diameter c/d
A=½(base1+base2)(height)

3. Formula for the surface area of a cube
Positive
6e²
45 45 90 Right triangles (x - x - x*square root of 2)
180

4. Circumference of a circle
4/3(pi)r³
2(pi)r
(length)(width)(height)
Parallelogram

5. Formula for a diagonal
True
45 45 90 Right triangles (x - x - x*square root of 2)
L²+w²+h²=d²
Circumference/diameter c/d

6. Surface area of a rectangular solid
360°
2(lw+lh+wh)
(length)(width)(height)
A=½(base1+base2)(height)

7. Volume of a rectangular solid
A=(side)² or A=½(diagonal)²
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)
(length)(width)(height)

8. In a Rectangle - each angles measures
A=½(base1+base2)(height)
Pi(diameter)
90°
x/360 x 2(pi)r or x/360 x C

9. In a Regular Polygon - the measure of each exterior angle
360/n
L²+w²+h²=d²
(n-2) x 180
360°

10. In a rectangle - all angles are
A=(base)(height)
Right
4/3(pi)r³
Straight Angle

11. 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
P=2(l+w)
Circumference/diameter c/d
(length)(width)(height)
180

12. An Angle that'S 180°
(n-2)x180/n
Straight Angle
360°
Square (versus a rectangle)

13. For any given Area - the rectangle with the smallest perimeter is a
2(pi)rh+2(pi)r²
Square (versus a rectangle)
360°
(pi)r²

14. Each diagonal divides a square into 2
360°
45 45 90 Right triangles (x - x - x*square root of 2)
zero
(n-2) x 180

15. Vertical lines
45 45 90 Right triangles (x - x - x*square root of 2)
A=(base)(height)
Do not have slopes!
Right

16. Volume of a Sphere
y2-y1/x2-x1
4/3(pi)r³
Positive
360°

17. The Perimeter of a Square
90°
Edge³
360°
P=4s (s=side)

18. If you measure all exterior angles in a polygon - they all equal
(n-2) x 180
Negative
360°
Straight Angle

19. Slope
y2-y1/x2-x1
2(pi)rh
(pi)r²h
180

20. Slope of any line that goes down as you move from left to right is
360°
Negative
Edge³
(pi)r²

21. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
Negative
(pi)r²h
(pi)r²

22. The sum of the angles in a quadrilateral is
360°
360/n
6e²
180

23. Any Horizontal line slope
zero
90°
360°
L²+w²+h²=d²

24. The sum of all angles around a point
360°
True
zero
2(lw+lh+wh)

25. Volume of a cube
Pi(diameter)
Edge³
Parallelogram
360°

26. Surface area of a cylinder
360°
2(pi)rh
Do not have slopes!
N-2

27. The sum of the measures of the n angles in a polygon with n sides
Pi(diameter)
360°
(n-2) x 180
360°

28. Area of a Rectangle:
360/n
Do not have slopes!
A=(side)² or A=½(diagonal)²
2(pi)rh

29. Slope of any line that goes up from left to right
A=½(base1+base2)(height)
Right
Positive
x/360 x 2(pi)r or x/360 x C

30. The Perimeter of a rectangle
P=4s (s=side)
zero
P=2(l+w)
Right

31. A quadrilateral where two diagonals bisect each other
6e²
Parallelogram
x/360 x (pi)r² or x/360 x A
A=(base)(height)

32. The consecutive angles in a parallelogram equal
Square (versus a rectangle)
360°
180°
Edge³

33. Volume of a Cylinder
P=4s (s=side)
360°
Circumference/diameter c/d
(pi)r²h

34. Area of a circle
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)r

35. Distance Formula
360/n
D=Square root of (x2-x1)²+(y2-y1)²
(n-2) x 180
P=4s (s=side)

36. For any given perimeter - the rectangle with the largest AREA is a
A=(base)(height)
6e²
Right
Square (versus a rectangle)

37. If one of the angles formed by an intersection is right - they'Re all right
(pi)r²h
True
360/n
360°

38. The surface area of a cynlinder plus top and bottom
Pi(diameter)
360°
2(pi)rh+2(pi)r²
y2-y1/x2-x1

39. In any polygon - all external angles equal up to
True
Square (versus a rectangle)
360°
(pi)r²

40. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
2(pi)rh+2(pi)r²
Square (versus a rectangle)
A=½(base1+base2)(height)

41. Area of a Parallelogram:
A=(side)² or A=½(diagonal)²
Positive
Circumference/diameter c/d
A=(base)(height)

42. The area of a sector formed by an arc and 2 radii
360°
360°
Parallelogram
x/360 x (pi)r² or x/360 x A

43. Pi
6e²
(length)(width)(height)
Circumference/diameter c/d
2(pi)rh+2(pi)r²

44. If an arc measures x - the length of the arc is
2(pi)rh
zero
x/360 x 2(pi)r or x/360 x C
P=2(l+w)

45. Circumference of a circle
(pi)r²h
6e²
(pi)r²
Pi(diameter)