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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
Edge³
Pi(diameter)
360°
Negative

2. Vertical lines
180°
(pi)r²
Do not have slopes!
y2-y1/x2-x1

3. The surface area of a cynlinder plus top and bottom
4/3(pi)r³
2(pi)rh+2(pi)r²
180°
360°

4. The sum of the measures of the n angles in a polygon with n sides
2(lw+lh+wh)
(n-2) x 180
True
D=Square root of (x2-x1)²+(y2-y1)²

5. Volume of a Sphere
90°
2(lw+lh+wh)
Pi(diameter)
4/3(pi)r³

6. Slope
360°
2(pi)rh+2(pi)r²
y2-y1/x2-x1
D=Square root of (x2-x1)²+(y2-y1)²

7. 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
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
180
(n-2) x 180

8. If you measure all exterior angles in a polygon - they all equal
180°
Straight Angle
360°
90°

9. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
2(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)
Parallelogram

10. The Perimeter of a Square
P=4s (s=side)
A=½(base1+base2)(height)
360°
2(pi)rh+2(pi)r²

11. Pi
y2-y1/x2-x1
(n-2)x180/n
Circumference/diameter c/d
Right

12. The area of a sector formed by an arc and 2 radii
360/n
Edge³
Do not have slopes!
x/360 x (pi)r² or x/360 x A

13. A quadrilateral where two diagonals bisect each other
A=½(base1+base2)(height)
y2-y1/x2-x1
Parallelogram
360°

14. Volume of a Cylinder
Parallelogram
Circumference/diameter c/d
(pi)r²h
6e²

15. For any given perimeter - the rectangle with the largest AREA is a
2(pi)rh+2(pi)r²
Square (versus a rectangle)
D=Square root of (x2-x1)²+(y2-y1)²
2(lw+lh+wh)

16. Distance Formula
Right
Square (versus a rectangle)
2(pi)rh+2(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²

17. The consecutive angles in a parallelogram equal
180°
A=½(base1+base2)(height)
(pi)r²
y2-y1/x2-x1

18. In any polygon - all external angles equal up to
360°
P=4s (s=side)
360/n
zero

19. Area of a Parallelogram:
Circumference/diameter c/d
2(pi)rh
N-2
A=(base)(height)

20. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
A=½(base1+base2)(height)
Do not have slopes!
N-2

21. The sum of all angles around a point
45 45 90 Right triangles (x - x - x*square root of 2)
180
N-2
360°

22. Area of a Trapezoid:
45 45 90 Right triangles (x - x - x*square root of 2)
2(lw+lh+wh)
A=½(base1+base2)(height)
2(pi)r

23. The Perimeter of a rectangle
P=2(l+w)
A=½(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
180°

24. Surface area of a rectangular solid
Square (versus a rectangle)
Circumference/diameter c/d
2(lw+lh+wh)
6e²

25. Slope of any line that goes down as you move from left to right is
6e²
360°
Negative
N-2

26. If an arc measures x - the length of the arc is
Circumference/diameter c/d
x/360 x 2(pi)r or x/360 x C
360/n
Straight Angle

27. Area of a circle
360°
4/3(pi)r³
(pi)r²
Negative

28. An Angle that'S 180°
360°
2(pi)rh
360°
Straight Angle

29. Slope of any line that goes up from left to right
Positive
Parallelogram
360°
P=2(l+w)

30. If one of the angles formed by an intersection is right - they'Re all right
True
Pi(diameter)
180
6e²

31. Formula for a diagonal
2(pi)r
(pi)r²h
Negative
L²+w²+h²=d²

32. Each diagonal divides a square into 2
2(pi)r
zero
Square (versus a rectangle)
45 45 90 Right triangles (x - x - x*square root of 2)

33. Surface area of a cylinder
360°
2(pi)rh
6e²
Circumference/diameter c/d

34. Area of a Rectangle:
360°
A=(side)² or A=½(diagonal)²
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)rh+2(pi)r²

35. Volume of a rectangular solid
(length)(width)(height)
Square (versus a rectangle)
Straight Angle
L²+w²+h²=d²

36. The sum of the angles in a quadrilateral is
A=(base)(height)
True
2(pi)rh+2(pi)r²
360°

37. Circumference of a circle
Negative
2(pi)r
(pi)r²h
Pi(diameter)

38. Formula for the surface area of a cube
A=½(base1+base2)(height)
y2-y1/x2-x1
6e²
45 45 90 Right triangles (x - x - x*square root of 2)

39. In a Rectangle - each angles measures
y2-y1/x2-x1
90°
Edge³
(length)(width)(height)

40. For any given Area - the rectangle with the smallest perimeter is a
True
Circumference/diameter c/d
(n-2)x180/n
Square (versus a rectangle)

41. Circumference of a circle
x/360 x 2(pi)r or x/360 x C
P=2(l+w)
360°
Pi(diameter)

42. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
4/3(pi)r³
180
(pi)r²h

43. In a rectangle - all angles are
2(pi)r
(n-2)x180/n
Right
A=(side)² or A=½(diagonal)²

44. Any Horizontal line slope
zero
Parallelogram
Pi(diameter)
P=4s (s=side)

45. In a Regular Polygon - the measure of each exterior angle
y2-y1/x2-x1
x/360 x (pi)r² or x/360 x A
2(pi)r
360/n