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. In a rectangle - all angles are
(pi)r²
4/3(pi)r³
2(lw+lh+wh)
Right

2. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
360°
6e²
Straight Angle

3. Surface area of a cylinder
x/360 x 2(pi)r or x/360 x C
L²+w²+h²=d²
2(pi)rh
180

4. The sum of the angles in a quadrilateral is
180°
Circumference/diameter c/d
360°
(n-2)x180/n

5. If an arc measures x - the length of the arc is
L²+w²+h²=d²
A=(base)(height)
360°
x/360 x 2(pi)r or x/360 x C

6. Volume of a Cylinder
Pi(diameter)
360°
(pi)r²h
Square (versus a rectangle)

7. In a Regular Polygon - the measure of each exterior angle
360/n
A=½(base1+base2)(height)
Straight Angle
180°

8. Slope of any line that goes up from left to right
(n-2) x 180
True
2(lw+lh+wh)
Positive

9. Pi
Edge³
(pi)r²h
Circumference/diameter c/d
360°

10. The Perimeter of a rectangle
P=2(l+w)
y2-y1/x2-x1
A=(base)(height)
6e²

11. What kind of trapezoid has equal parallel sides?
360°
Isosceles Trapezoid
(pi)r²
Positive

12. Vertical lines
Do not have slopes!
N-2
P=4s (s=side)
Circumference/diameter c/d

13. A quadrilateral where two diagonals bisect each other
N-2
6e²
A=½(base1+base2)(height)
Parallelogram

14. Circumference of a circle
P=4s (s=side)
45 45 90 Right triangles (x - x - x*square root of 2)
A=(base)(height)
Pi(diameter)

15. The Perimeter of a Square
Circumference/diameter c/d
Square (versus a rectangle)
(n-2) x 180
P=4s (s=side)

16. Slope
Right
y2-y1/x2-x1
2(pi)r
P=2(l+w)

17. If one of the angles formed by an intersection is right - they'Re all right
y2-y1/x2-x1
Pi(diameter)
True
N-2

18. Area of a circle
Square (versus a rectangle)
(pi)r²
2(pi)rh+2(pi)r²
Square (versus a rectangle)

19. Volume of a rectangular solid
(length)(width)(height)
(n-2) x 180
(n-2)x180/n
Edge³

20. Slope of any line that goes down as you move from left to right is
Pi(diameter)
180°
Square (versus a rectangle)
Negative

21. In a Rectangle - each angles measures
A=(base)(height)
90°
P=2(l+w)
L²+w²+h²=d²

22. Volume of a Sphere
Right
P=2(l+w)
4/3(pi)r³
(length)(width)(height)

23. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
A=½(base1+base2)(height)
180
Straight Angle
N-2

24. Surface area of a rectangular solid
Isosceles Trapezoid
(n-2)x180/n
2(lw+lh+wh)
Pi(diameter)

25. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
45 45 90 Right triangles (x - x - x*square root of 2)
Pi(diameter)
True

26. Distance Formula
Square (versus a rectangle)
(n-2)x180/n
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²h

27. Area of a Trapezoid:
Negative
True
A=½(base1+base2)(height)
P=2(l+w)

28. Formula for the surface area of a cube
L²+w²+h²=d²
6e²
A=½(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

29. Formula for a diagonal
360°
L²+w²+h²=d²
N-2
y2-y1/x2-x1

30. Area of a Rectangle:
Circumference/diameter c/d
Straight Angle
A=(side)² or A=½(diagonal)²
Isosceles Trapezoid

31. The consecutive angles in a parallelogram equal
A=½(base1+base2)(height)
6e²
180°
Parallelogram

32. An Angle that'S 180°
90°
360°
y2-y1/x2-x1
Straight Angle

33. Any Horizontal line slope
180
zero
N-2
Edge³

34. In any polygon - all external angles equal up to
N-2
(n-2) x 180
2(pi)r
360°

35. Circumference of a circle
6e²
360°
90°
2(pi)r

36. 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)
180
360°
zero

37. If you measure all exterior angles in a polygon - they all equal
360°
Square (versus a rectangle)
Square (versus a rectangle)
(length)(width)(height)

38. Each diagonal divides a square into 2
2(lw+lh+wh)
Circumference/diameter c/d
45 45 90 Right triangles (x - x - x*square root of 2)
True

39. Volume of a cube
4/3(pi)r³
Parallelogram
Edge³
180°

40. The surface area of a cynlinder plus top and bottom
A=(base)(height)
Parallelogram
2(pi)rh+2(pi)r²
2(lw+lh+wh)

41. Area of a Parallelogram:
360°
N-2
2(pi)r
A=(base)(height)

42. The sum of all angles around a point
D=Square root of (x2-x1)²+(y2-y1)²
(length)(width)(height)
L²+w²+h²=d²
360°

43. For any given Area - the rectangle with the smallest perimeter is a
Do not have slopes!
Negative
2(pi)r
Square (versus a rectangle)

44. For any given perimeter - the rectangle with the largest AREA is a
360/n
Square (versus a rectangle)
A=½(base1+base2)(height)
Circumference/diameter c/d

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