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. Formula for the surface area of a cube
(length)(width)(height)
6e²
45 45 90 Right triangles (x - x - x*square root of 2)
360°

2. Area of a Parallelogram:
6e²
360/n
A=(base)(height)
x/360 x (pi)r² or x/360 x A

3. Slope of any line that goes up from left to right
360/n
Positive
(n-2)x180/n
(length)(width)(height)

4. 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
Isosceles Trapezoid
(pi)r²h
Square (versus a rectangle)

5. Any Horizontal line slope
(pi)r²h
4/3(pi)r³
x/360 x (pi)r² or x/360 x A
zero

6. Vertical lines
4/3(pi)r³
Negative
Do not have slopes!
2(lw+lh+wh)

7. The sum of all angles around a point
360°
(length)(width)(height)
Straight Angle
360/n

8. In a rectangle - all angles are
360°
A=(base)(height)
Right
2(pi)r

9. If an arc measures x - the length of the arc is
L²+w²+h²=d²
x/360 x 2(pi)r or x/360 x C
6e²
(n-2)x180/n

10. Area of a Trapezoid:
N-2
(pi)r²h
Square (versus a rectangle)
A=½(base1+base2)(height)

11. If one of the angles formed by an intersection is right - they'Re all right
360°
True
(n-2) x 180
Right

12. Distance Formula
x/360 x (pi)r² or x/360 x A
D=Square root of (x2-x1)²+(y2-y1)²
2(lw+lh+wh)
6e²

13. The area of a sector formed by an arc and 2 radii
360/n
x/360 x (pi)r² or x/360 x A
D=Square root of (x2-x1)²+(y2-y1)²
True

14. The sum of the angles in a quadrilateral is
(n-2)x180/n
Positive
360°
A=½(base1+base2)(height)

15. Pi
Circumference/diameter c/d
2(pi)rh
Do not have slopes!
Square (versus a rectangle)

16. In a Regular Polygon - the measure of each exterior angle
180
360/n
L²+w²+h²=d²
Do not have slopes!

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

18. Area of a Rectangle:
(length)(width)(height)
A=(side)² or A=½(diagonal)²
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!

19. What kind of trapezoid has equal parallel sides?
Right
Isosceles Trapezoid
360°
2(pi)rh

20. Formula for a diagonal
(n-2) x 180
2(pi)rh+2(pi)r²
Straight Angle
L²+w²+h²=d²

21. Surface area of a rectangular solid
90°
Circumference/diameter c/d
2(lw+lh+wh)
360°

22. Volume of a Sphere
2(pi)r
Edge³
4/3(pi)r³
Square (versus a rectangle)

23. The Perimeter of a Square
4/3(pi)r³
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
P=4s (s=side)

24. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²
A=½(base1+base2)(height)
Square (versus a rectangle)

25. Each diagonal divides a square into 2
Negative
(pi)r²
6e²
45 45 90 Right triangles (x - x - x*square root of 2)

26. The Perimeter of a rectangle
Positive
P=2(l+w)
360°
45 45 90 Right triangles (x - x - x*square root of 2)

27. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
180
Square (versus a rectangle)
Isosceles Trapezoid

28. Slope
Isosceles Trapezoid
y2-y1/x2-x1
2(pi)rh+2(pi)r²
Square (versus a rectangle)

29. Surface area of a cylinder
Edge³
A=(base)(height)
2(pi)rh
2(pi)r

30. For any given Area - the rectangle with the smallest perimeter is a
360/n
Negative
Square (versus a rectangle)
Positive

31. A quadrilateral where two diagonals bisect each other
Straight Angle
Isosceles Trapezoid
Parallelogram
Right

32. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
360°
A=½(base1+base2)(height)
Pi(diameter)
N-2

33. In any Regular Polygon - the measure of each interior angle
2(pi)rh
Straight Angle
90°
(n-2)x180/n

34. The consecutive angles in a parallelogram equal
Isosceles Trapezoid
Square (versus a rectangle)
180°
Parallelogram

35. Circumference of a circle
360°
Square (versus a rectangle)
Pi(diameter)
2(pi)rh

36. In a Rectangle - each angles measures
Negative
90°
Do not have slopes!
x/360 x 2(pi)r or x/360 x C

37. Volume of a cube
Edge³
180
y2-y1/x2-x1
2(pi)rh+2(pi)r²

38. An Angle that'S 180°
2(pi)rh+2(pi)r²
A=(base)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
Straight Angle

39. In any polygon - all external angles equal up to
360°
Parallelogram
Circumference/diameter c/d
x/360 x (pi)r² or x/360 x A

40. Circumference of a circle
(length)(width)(height)
360°
L²+w²+h²=d²
2(pi)r

41. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
(pi)r²h
A=½(base1+base2)(height)
180

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

43. Volume of a Cylinder
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
(pi)r²h
2(lw+lh+wh)

44. Slope of any line that goes down as you move from left to right is
360/n
Negative
x/360 x 2(pi)r or x/360 x C
y2-y1/x2-x1

45. Area of a circle
A=½(base1+base2)(height)
(pi)r²h
(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²