Test your basic knowledge |

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. Area of a Parallelogram:
90°
A=(base)(height)
D=Square root of (x2-x1)²+(y2-y1)²
360°

2. Vertical lines
Do not have slopes!
Straight Angle
360/n
45 45 90 Right triangles (x - x - x*square root of 2)

3. A quadrilateral where two diagonals bisect each other
Right
Parallelogram
A=(base)(height)
180°

4. The sum of the measures of the n angles in a polygon with n sides
4/3(pi)r³
(n-2) x 180
Circumference/diameter c/d
360°

5. In a Rectangle - each angles measures
Parallelogram
A=(base)(height)
2(lw+lh+wh)
90°

6. If an arc measures x - the length of the arc is
90°
Circumference/diameter c/d
x/360 x 2(pi)r or x/360 x C
(n-2) x 180

7. Surface area of a cylinder
90°
(pi)r²h
2(pi)rh
Edge³

8. Area of a Trapezoid:
2(lw+lh+wh)
A=½(base1+base2)(height)
Isosceles Trapezoid
2(pi)r

9. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
180°
360°
45 45 90 Right triangles (x - x - x*square root of 2)

10. The consecutive angles in a parallelogram equal
180°
Do not have slopes!
360°
4/3(pi)r³

11. An Angle that'S 180°
Straight Angle
360°
90°
Square (versus a rectangle)

12. In any polygon - all external angles equal up to
360°
(n-2) x 180
2(lw+lh+wh)
Straight Angle

13. The sum of the angles in a quadrilateral is
Square (versus a rectangle)
Negative
zero
360°

14. Formula for the surface area of a cube
Square (versus a rectangle)
Straight Angle
6e²
(n-2)x180/n

15. Slope
Circumference/diameter c/d
y2-y1/x2-x1
(length)(width)(height)
360/n

16. Formula for a diagonal
4/3(pi)r³
360°
Circumference/diameter c/d
L²+w²+h²=d²

17. Slope of any line that goes up from left to right
A=(side)² or A=½(diagonal)²
Positive
P=4s (s=side)
(pi)r²

18. Volume of a Cylinder
(pi)r²h
180°
x/360 x (pi)r² or x/360 x A
360°

19. Circumference of a circle
Pi(diameter)
Positive
360/n
(length)(width)(height)

20. Surface area of a rectangular solid
Straight Angle
2(lw+lh+wh)
Parallelogram
2(pi)rh

21. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
L²+w²+h²=d²
Edge³
x/360 x 2(pi)r or x/360 x C

22. Area of a Rectangle:
360°
D=Square root of (x2-x1)²+(y2-y1)²
A=(side)² or A=½(diagonal)²
True

23. Volume of a rectangular solid
360°
Negative
Edge³
(length)(width)(height)

24. The Perimeter of a Square
Pi(diameter)
180
P=4s (s=side)
2(lw+lh+wh)

25. The area of a sector formed by an arc and 2 radii
180°
(n-2) x 180
x/360 x (pi)r² or x/360 x A
Square (versus a rectangle)

26. Volume of a cube
360°
Edge³
N-2
Square (versus a rectangle)

27. The surface area of a cynlinder plus top and bottom
4/3(pi)r³
90°
Pi(diameter)
2(pi)rh+2(pi)r²

28. In a rectangle - all angles are
Right
360°
360°
y2-y1/x2-x1

29. If one of the angles formed by an intersection is right - they'Re all right
Pi(diameter)
True
Positive
(length)(width)(height)

30. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
180°
P=2(l+w)
360°

31. Distance Formula
(pi)r²
y2-y1/x2-x1
D=Square root of (x2-x1)²+(y2-y1)²
360°

32. Slope of any line that goes down as you move from left to right is
Negative
True
N-2
Edge³

33. Any Horizontal line slope
A=½(base1+base2)(height)
zero
Negative
2(pi)rh+2(pi)r²

34. Area of a circle
Positive
(pi)r²
y2-y1/x2-x1
6e²

35. For any given Area - the rectangle with the smallest perimeter is a
4/3(pi)r³
Square (versus a rectangle)
6e²
90°

36. Pi
x/360 x 2(pi)r or x/360 x C
360°
Circumference/diameter c/d
P=4s (s=side)

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
180
P=4s (s=side)
4/3(pi)r³
D=Square root of (x2-x1)²+(y2-y1)²

38. Circumference of a circle
2(pi)r
x/360 x 2(pi)r or x/360 x C
Right
2(pi)rh+2(pi)r²

39. Volume of a Sphere
45 45 90 Right triangles (x - x - x*square root of 2)
4/3(pi)r³
360°
180

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

41. The Perimeter of a rectangle
(length)(width)(height)
90°
(pi)r²
P=2(l+w)

42. In a Regular Polygon - the measure of each exterior angle
360/n
Isosceles Trapezoid
2(pi)rh+2(pi)r²
Parallelogram

43. If you measure all exterior angles in a polygon - they all equal
360°
180°
(length)(width)(height)
zero

44. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
Negative
N-2
Square (versus a rectangle)
45 45 90 Right triangles (x - x - x*square root of 2)

45. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
360°
(n-2)x180/n
Positive