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. Surface area of a cylinder
Circumference/diameter c/d
2(lw+lh+wh)
Positive
2(pi)rh

2. Slope of any line that goes up from left to right
(pi)r²h
Positive
(pi)r²
360°

3. The surface area of a cynlinder plus top and bottom
True
2(pi)rh+2(pi)r²
180°
2(pi)r

4. Each diagonal divides a square into 2
6e²
45 45 90 Right triangles (x - x - x*square root of 2)
A=(base)(height)
Right

5. Circumference of a circle
Pi(diameter)
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
360°

6. Area of a Trapezoid:
zero
Do not have slopes!
A=½(base1+base2)(height)
4/3(pi)r³

7. Any Horizontal line slope
360°
D=Square root of (x2-x1)²+(y2-y1)²
A=½(base1+base2)(height)
zero

8. Area of a Parallelogram:
Do not have slopes!
A=(base)(height)
90°
(pi)r²

9. Volume of a rectangular solid
6e²
(length)(width)(height)
360°
Straight Angle

10. The sum of the measures of the n angles in a polygon with n sides
N-2
(n-2)x180/n
(n-2) x 180
Do not have slopes!

11. A quadrilateral where two diagonals bisect each other
Parallelogram
(n-2) x 180
A=(base)(height)
(n-2)x180/n

12. Formula for a diagonal
L²+w²+h²=d²
A=½(base1+base2)(height)
360°
180

13. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
6e²
360°
Pi(diameter)

14. The sum of all angles around a point
Square (versus a rectangle)
360°
Circumference/diameter c/d
D=Square root of (x2-x1)²+(y2-y1)²

15. Pi
Isosceles Trapezoid
Circumference/diameter c/d
90°
x/360 x 2(pi)r or x/360 x C

16. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)
360°
6e²

17. What kind of trapezoid has equal parallel sides?
A=(side)² or A=½(diagonal)²
Isosceles Trapezoid
(n-2)x180/n
(pi)r²h

18. Circumference of a circle
Parallelogram
360°
2(pi)r
2(pi)rh

19. For any given perimeter - the rectangle with the largest AREA is a
180°
Pi(diameter)
Right
Square (versus a rectangle)

20. The consecutive angles in a parallelogram equal
360°
2(lw+lh+wh)
Edge³
180°

21. The sum of the angles in a quadrilateral is
x/360 x 2(pi)r or x/360 x C
360°
180°
Do not have slopes!

22. If one of the angles formed by an intersection is right - they'Re all right
x/360 x (pi)r² or x/360 x A
True
zero
Do not have slopes!

23. In any polygon - all external angles equal up to
360°
4/3(pi)r³
Negative
A=(base)(height)

24. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
180
90°
6e²
N-2

25. Slope
A=(base)(height)
x/360 x 2(pi)r or x/360 x C
Positive
y2-y1/x2-x1

26. Formula for the surface area of a cube
x/360 x (pi)r² or x/360 x A
Parallelogram
360/n
6e²

27. Vertical lines
Do not have slopes!
2(pi)rh+2(pi)r²
Square (versus a rectangle)
True

28. 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
A=½(base1+base2)(height)
2(pi)r
Isosceles Trapezoid
180

29. Distance Formula
True
Square (versus a rectangle)
Parallelogram
D=Square root of (x2-x1)²+(y2-y1)²

30. Volume of a Cylinder
(pi)r²h
Edge³
Isosceles Trapezoid
A=(side)² or A=½(diagonal)²

31. In a Regular Polygon - the measure of each exterior angle
Edge³
Isosceles Trapezoid
Parallelogram
360/n

32. The Perimeter of a Square
P=2(l+w)
P=4s (s=side)
180
A=(side)² or A=½(diagonal)²

33. Area of a Rectangle:
Isosceles Trapezoid
(pi)r²
A=(side)² or A=½(diagonal)²
2(pi)rh

34. Area of a circle
Square (versus a rectangle)
360°
True
(pi)r²

35. Slope of any line that goes down as you move from left to right is
D=Square root of (x2-x1)²+(y2-y1)²
Negative
Right
(pi)r²h

36. An Angle that'S 180°
Straight Angle
(n-2) x 180
N-2
2(pi)r

37. The area of a sector formed by an arc and 2 radii
y2-y1/x2-x1
Parallelogram
Do not have slopes!
x/360 x (pi)r² or x/360 x A

38. The Perimeter of a rectangle
P=2(l+w)
y2-y1/x2-x1
Square (versus a rectangle)
L²+w²+h²=d²

39. For any given Area - the rectangle with the smallest perimeter is a
6e²
Straight Angle
(pi)r²h
Square (versus a rectangle)

40. Surface area of a rectangular solid
Right
180°
Isosceles Trapezoid
2(lw+lh+wh)

41. Volume of a cube
45 45 90 Right triangles (x - x - x*square root of 2)
Square (versus a rectangle)
Edge³
Positive

42. Volume of a Sphere
Parallelogram
4/3(pi)r³
Do not have slopes!
360/n

43. In a rectangle - all angles are
Right
(n-2)x180/n
4/3(pi)r³
x/360 x (pi)r² or x/360 x A

44. If you measure all exterior angles in a polygon - they all equal
6e²
360°
y2-y1/x2-x1
Square (versus a rectangle)

45. In a Rectangle - each angles measures
90°
zero
D=Square root of (x2-x1)²+(y2-y1)²
A=(side)² or A=½(diagonal)²