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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. Volume of a cube
360°
Edge³
(pi)r²
(n-2)x180/n

2. In a Regular Polygon - the measure of each exterior angle
360/n
2(lw+lh+wh)
180°
x/360 x 2(pi)r or x/360 x C

3. The area of a sector formed by an arc and 2 radii
(n-2)x180/n
Square (versus a rectangle)
Isosceles Trapezoid
x/360 x (pi)r² or x/360 x A

4. The consecutive angles in a parallelogram equal
360/n
(pi)r²h
Negative
180°

5. What kind of trapezoid has equal parallel sides?
x/360 x 2(pi)r or x/360 x C
Isosceles Trapezoid
Negative
2(lw+lh+wh)

6. Formula for a diagonal
45 45 90 Right triangles (x - x - x*square root of 2)
L²+w²+h²=d²
180
Edge³

7. Volume of a rectangular solid
2(pi)rh
6e²
(length)(width)(height)
(pi)r²h

8. Slope of any line that goes up from left to right
(pi)r²h
Right
(n-2)x180/n
Positive

9. Slope
2(pi)r
6e²
Negative
y2-y1/x2-x1

10. An Angle that'S 180°
45 45 90 Right triangles (x - x - x*square root of 2)
Edge³
Straight Angle
L²+w²+h²=d²

11. Area of a circle
Negative
N-2
360°
(pi)r²

12. Vertical lines
Edge³
2(pi)rh
Do not have slopes!
180°

13. The sum of all angles around a point
True
(pi)r²
A=½(base1+base2)(height)
360°

14. For any given Area - the rectangle with the smallest perimeter is a
2(pi)rh+2(pi)r²
Straight Angle
Square (versus a rectangle)
y2-y1/x2-x1

15. In a Rectangle - each angles measures
2(pi)r
A=(base)(height)
90°
(n-2) x 180

16. The Perimeter of a rectangle
2(pi)rh
2(pi)r
P=2(l+w)
Straight Angle

17. Area of a Trapezoid:
360°
A=½(base1+base2)(height)
x/360 x (pi)r² or x/360 x A
D=Square root of (x2-x1)²+(y2-y1)²

18. Pi
360°
Pi(diameter)
Circumference/diameter c/d
(n-2) x 180

19. Circumference of a circle
Pi(diameter)
Square (versus a rectangle)
Negative
360°

20. Any Horizontal line slope
2(lw+lh+wh)
zero
Parallelogram
(n-2) x 180

21. A quadrilateral where two diagonals bisect each other
True
Parallelogram
180
(pi)r²h

22. In any Regular Polygon - the measure of each interior angle
(n-2) x 180
Edge³
(n-2)x180/n
zero

23. In a rectangle - all angles are
180
Right
(pi)r²h
A=(side)² or A=½(diagonal)²

24. If one of the angles formed by an intersection is right - they'Re all right
True
A=(base)(height)
Negative
2(pi)rh+2(pi)r²

25. Volume of a Sphere
N-2
4/3(pi)r³
L²+w²+h²=d²
Do not have slopes!

26. The sum of the measures of the n angles in a polygon with n sides
4/3(pi)r³
P=2(l+w)
2(lw+lh+wh)
(n-2) x 180

27. Distance Formula
360°
Edge³
D=Square root of (x2-x1)²+(y2-y1)²
True

28. If you measure all exterior angles in a polygon - they all equal
Isosceles Trapezoid
360°
P=2(l+w)
zero

29. Volume of a Cylinder
A=½(base1+base2)(height)
x/360 x 2(pi)r or x/360 x C
(pi)r²h
y2-y1/x2-x1

30. For any given perimeter - the rectangle with the largest AREA is a
y2-y1/x2-x1
Square (versus a rectangle)
180°
360/n

31. Circumference of a circle
2(pi)r
2(pi)rh
(pi)r²h
2(pi)rh+2(pi)r²

32. Formula for the surface area of a cube
360°
4/3(pi)r³
6e²
(pi)r²h

33. Area of a Parallelogram:
180
Positive
2(lw+lh+wh)
A=(base)(height)

34. Slope of any line that goes down as you move from left to right is
L²+w²+h²=d²
(n-2) x 180
Straight Angle
Negative

35. Surface area of a cylinder
4/3(pi)r³
2(pi)rh
Square (versus a rectangle)
Right

36. The sum of the angles in a quadrilateral is
360°
y2-y1/x2-x1
Positive
180°

37. 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
2(lw+lh+wh)
x/360 x (pi)r² or x/360 x A
2(pi)r
180

38. Surface area of a rectangular solid
2(lw+lh+wh)
zero
A=(side)² or A=½(diagonal)²
A=½(base1+base2)(height)

39. Each diagonal divides a square into 2
y2-y1/x2-x1
P=2(l+w)
45 45 90 Right triangles (x - x - x*square root of 2)
Square (versus a rectangle)

40. In any polygon - all external angles equal up to
360°
Right
Straight Angle
P=4s (s=side)

41. The surface area of a cynlinder plus top and bottom
45 45 90 Right triangles (x - x - x*square root of 2)
P=4s (s=side)
2(lw+lh+wh)
2(pi)rh+2(pi)r²

42. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
2(pi)rh
D=Square root of (x2-x1)²+(y2-y1)²
(length)(width)(height)

43. The Perimeter of a Square
A=(side)² or A=½(diagonal)²
P=4s (s=side)
2(pi)rh
Negative

44. If an arc measures x - the length of the arc is
180
x/360 x 2(pi)r or x/360 x C
90°
4/3(pi)r³

45. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
4/3(pi)r³
Square (versus a rectangle)
360/n
N-2