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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 Sphere
P=2(l+w)
True
360/n
4/3(pi)r³

2. Volume of a rectangular solid
Right
(length)(width)(height)
180
Square (versus a rectangle)

3. 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
45 45 90 Right triangles (x - x - x*square root of 2)
360°
180
180°

4. Slope
Square (versus a rectangle)
2(lw+lh+wh)
y2-y1/x2-x1
Pi(diameter)

5. A quadrilateral where two diagonals bisect each other
(length)(width)(height)
Parallelogram
2(pi)rh+2(pi)r²
A=(side)² or A=½(diagonal)²

6. The Perimeter of a Square
Pi(diameter)
Do not have slopes!
x/360 x 2(pi)r or x/360 x C
P=4s (s=side)

7. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
(pi)r²h
A=(base)(height)
Do not have slopes!
N-2

8. In any polygon - all external angles equal up to
(pi)r²h
360°
Parallelogram
Square (versus a rectangle)

9. Circumference of a circle
Pi(diameter)
x/360 x 2(pi)r or x/360 x C
P=2(l+w)
x/360 x (pi)r² or x/360 x A

10. For any given perimeter - the rectangle with the largest AREA is a
Parallelogram
Square (versus a rectangle)
(length)(width)(height)
x/360 x (pi)r² or x/360 x A

11. If one of the angles formed by an intersection is right - they'Re all right
2(pi)r
(length)(width)(height)
A=½(base1+base2)(height)
True

12. Any Horizontal line slope
L²+w²+h²=d²
zero
180
Parallelogram

13. If you measure all exterior angles in a polygon - they all equal
2(pi)rh
90°
A=(base)(height)
360°

14. Area of a Parallelogram:
x/360 x 2(pi)r or x/360 x C
45 45 90 Right triangles (x - x - x*square root of 2)
180°
A=(base)(height)

15. Area of a circle
Edge³
(pi)r²
Positive
P=4s (s=side)

16. The consecutive angles in a parallelogram equal
Parallelogram
180°
Positive
Do not have slopes!

17. Distance Formula
(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²
Pi(diameter)
6e²

18. Vertical lines
N-2
(n-2)x180/n
Do not have slopes!
D=Square root of (x2-x1)²+(y2-y1)²

19. What kind of trapezoid has equal parallel sides?
180
Isosceles Trapezoid
Do not have slopes!
360°

20. The Perimeter of a rectangle
L²+w²+h²=d²
P=2(l+w)
2(lw+lh+wh)
6e²

21. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
A=(base)(height)
y2-y1/x2-x1
2(pi)rh+2(pi)r²

22. Volume of a cube
Straight Angle
(length)(width)(height)
360°
Edge³

23. The area of a sector formed by an arc and 2 radii
zero
x/360 x (pi)r² or x/360 x A
A=(side)² or A=½(diagonal)²
360°

24. In a Regular Polygon - the measure of each exterior angle
360/n
P=2(l+w)
2(lw+lh+wh)
360°

25. Each diagonal divides a square into 2
360°
(pi)r²h
2(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)

26. For any given Area - the rectangle with the smallest perimeter is a
2(lw+lh+wh)
360°
180°
Square (versus a rectangle)

27. Pi
Edge³
(length)(width)(height)
A=(side)² or A=½(diagonal)²
Circumference/diameter c/d

28. The sum of all angles around a point
6e²
2(lw+lh+wh)
Parallelogram
360°

29. Surface area of a rectangular solid
(pi)r²
45 45 90 Right triangles (x - x - x*square root of 2)
A=(side)² or A=½(diagonal)²
2(lw+lh+wh)

30. Volume of a Cylinder
L²+w²+h²=d²
(pi)r²h
180°
Right

31. In a rectangle - all angles are
45 45 90 Right triangles (x - x - x*square root of 2)
Square (versus a rectangle)
Right
Edge³

32. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
2(pi)r
2(lw+lh+wh)
zero

33. An Angle that'S 180°
Straight Angle
(length)(width)(height)
2(pi)rh
Square (versus a rectangle)

34. Slope of any line that goes down as you move from left to right is
2(pi)r
2(pi)rh
Negative
True

35. Formula for the surface area of a cube
6e²
P=4s (s=side)
(n-2) x 180
(length)(width)(height)

36. The sum of the angles in a quadrilateral is
D=Square root of (x2-x1)²+(y2-y1)²
360°
L²+w²+h²=d²
4/3(pi)r³

37. Surface area of a cylinder
Square (versus a rectangle)
L²+w²+h²=d²
2(pi)rh
Do not have slopes!

38. Area of a Trapezoid:
A=½(base1+base2)(height)
N-2
2(lw+lh+wh)
360°

39. Formula for a diagonal
L²+w²+h²=d²
Circumference/diameter c/d
y2-y1/x2-x1
(n-2) x 180

40. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
180
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)r

41. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
zero
y2-y1/x2-x1
360°

42. Slope of any line that goes up from left to right
(length)(width)(height)
(n-2) x 180
360°
Positive

43. Area of a Rectangle:
N-2
A=½(base1+base2)(height)
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²

44. In a Rectangle - each angles measures
zero
360°
90°
Square (versus a rectangle)

45. Circumference of a circle
2(pi)r
(pi)r²
2(pi)rh
(pi)r²h