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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. Formula for the surface area of a cube
Positive
N-2
6e²
2(pi)rh+2(pi)r²

2. In a Rectangle - each angles measures
90°
360°
y2-y1/x2-x1
360°

3. Any Horizontal line slope
360°
6e²
2(pi)rh+2(pi)r²
zero

4. The consecutive angles in a parallelogram equal
180°
2(lw+lh+wh)
4/3(pi)r³
Square (versus a rectangle)

5. An Angle that'S 180°
Straight Angle
Negative
True
2(lw+lh+wh)

6. The Perimeter of a rectangle
180
(pi)r²h
360°
P=2(l+w)

7. Vertical lines
Pi(diameter)
45 45 90 Right triangles (x - x - x*square root of 2)
P=4s (s=side)
Do not have slopes!

8. Each diagonal divides a square into 2
4/3(pi)r³
P=2(l+w)
45 45 90 Right triangles (x - x - x*square root of 2)
P=4s (s=side)

9. Surface area of a rectangular solid
Parallelogram
180°
2(lw+lh+wh)
Pi(diameter)

10. Distance Formula
Isosceles Trapezoid
D=Square root of (x2-x1)²+(y2-y1)²
Square (versus a rectangle)
A=(base)(height)

11. In a rectangle - all angles are
A=(base)(height)
Right
90°
y2-y1/x2-x1

12. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
Straight Angle
N-2
360°
Right

13. Formula for a diagonal
L²+w²+h²=d²
x/360 x 2(pi)r or x/360 x C
(pi)r²h
90°

14. The surface area of a cynlinder plus top and bottom
P=2(l+w)
(n-2)x180/n
2(pi)rh+2(pi)r²
P=4s (s=side)

15. Volume of a cube
x/360 x 2(pi)r or x/360 x C
zero
Edge³
2(pi)rh

16. If an arc measures x - the length of the arc is
Straight Angle
x/360 x 2(pi)r or x/360 x C
90°
P=2(l+w)

17. The area of a sector formed by an arc and 2 radii
P=2(l+w)
Parallelogram
x/360 x (pi)r² or x/360 x A
(n-2) x 180

18. If one of the angles formed by an intersection is right - they'Re all right
D=Square root of (x2-x1)²+(y2-y1)²
True
4/3(pi)r³
360°

19. A quadrilateral where two diagonals bisect each other
P=2(l+w)
Parallelogram
(n-2) x 180
2(pi)r

20. If you measure all exterior angles in a polygon - they all equal
(pi)r²h
2(pi)rh
360°
90°

21. The sum of all angles around a point
Straight Angle
2(pi)rh+2(pi)r²
A=½(base1+base2)(height)
360°

22. The sum of the angles in a quadrilateral is
Square (versus a rectangle)
2(lw+lh+wh)
P=2(l+w)
360°

23. Slope of any line that goes up from left to right
Positive
Do not have slopes!
Circumference/diameter c/d
(n-2)x180/n

24. In a Regular Polygon - the measure of each exterior angle
Edge³
180°
360/n
2(pi)r

25. 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
2(lw+lh+wh)
360/n
A=(base)(height)

26. For any given Area - the rectangle with the smallest perimeter is a
y2-y1/x2-x1
Square (versus a rectangle)
Edge³
360/n

27. Circumference of a circle
zero
6e²
(n-2)x180/n
2(pi)r

28. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
Isosceles Trapezoid
(length)(width)(height)
Edge³

29. Volume of a Sphere
360/n
y2-y1/x2-x1
Pi(diameter)
4/3(pi)r³

30. In any polygon - all external angles equal up to
Isosceles Trapezoid
360°
A=(side)² or A=½(diagonal)²
2(lw+lh+wh)

31. The Perimeter of a Square
6e²
P=4s (s=side)
x/360 x 2(pi)r or x/360 x C
Circumference/diameter c/d

32. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
360°
Parallelogram
(pi)r²h

33. Surface area of a cylinder
(length)(width)(height)
x/360 x 2(pi)r or x/360 x C
2(pi)rh
(pi)r²

34. Slope of any line that goes down as you move from left to right is
Positive
Square (versus a rectangle)
Negative
P=4s (s=side)

35. Pi
Circumference/diameter c/d
(n-2)x180/n
360°
360°

36. Circumference of a circle
360°
Parallelogram
Pi(diameter)
2(lw+lh+wh)

37. Area of a circle
Parallelogram
45 45 90 Right triangles (x - x - x*square root of 2)
90°
(pi)r²

38. Slope
2(pi)rh+2(pi)r²
Straight Angle
y2-y1/x2-x1
360°

39. Volume of a rectangular solid
Negative
360°
(n-2) x 180
(length)(width)(height)

40. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
2(pi)rh
2(pi)rh+2(pi)r²
Do not have slopes!

41. Area of a Trapezoid:
L²+w²+h²=d²
(pi)r²h
2(pi)r
A=½(base1+base2)(height)

42. What kind of trapezoid has equal parallel sides?
y2-y1/x2-x1
Isosceles Trapezoid
Edge³
360/n

43. Area of a Rectangle:
360/n
Isosceles Trapezoid
A=(side)² or A=½(diagonal)²
360°

44. Area of a Parallelogram:
360°
180
x/360 x (pi)r² or x/360 x A
A=(base)(height)

45. Volume of a Cylinder
Right
(pi)r²h
x/360 x 2(pi)r or x/360 x C
2(lw+lh+wh)