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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. The sum of the measures of the n angles in a polygon with n sides
180°
P=2(l+w)
(n-2) x 180
Circumference/diameter c/d

2. Area of a Parallelogram:
A=½(base1+base2)(height)
True
A=(side)² or A=½(diagonal)²
A=(base)(height)

3. The surface area of a cynlinder plus top and bottom
(pi)r²
N-2
A=(side)² or A=½(diagonal)²
2(pi)rh+2(pi)r²

4. Formula for a diagonal
Do not have slopes!
Positive
L²+w²+h²=d²
6e²

5. In a Rectangle - each angles measures
A=(side)² or A=½(diagonal)²
A=(base)(height)
90°
360°

6. Circumference of a circle
Straight Angle
(pi)r²
Pi(diameter)
y2-y1/x2-x1

7. In a rectangle - all angles are
A=½(base1+base2)(height)
x/360 x (pi)r² or x/360 x A
Right
N-2

8. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!
N-2
(pi)r²h

9. Area of a circle
180
(pi)r²
Edge³
zero

10. A quadrilateral where two diagonals bisect each other
360°
Parallelogram
2(pi)rh+2(pi)r²
90°

11. If an arc measures x - the length of the arc is
360°
x/360 x 2(pi)r or x/360 x C
Isosceles Trapezoid
(pi)r²

12. Vertical lines
Do not have slopes!
A=(base)(height)
6e²
360/n

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

14. Volume of a Sphere
360°
Positive
Straight Angle
4/3(pi)r³

15. Pi
Circumference/diameter c/d
Do not have slopes!
180
Parallelogram

16. For any given perimeter - the rectangle with the largest AREA is a
360°
Square (versus a rectangle)
Straight Angle
True

17. Volume of a rectangular solid
(length)(width)(height)
2(pi)r
2(lw+lh+wh)
D=Square root of (x2-x1)²+(y2-y1)²

18. Area of a Rectangle:
90°
A=(side)² or A=½(diagonal)²
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)rh+2(pi)r²

19. Slope of any line that goes up from left to right
4/3(pi)r³
Positive
A=(side)² or A=½(diagonal)²
Edge³

20. Any Horizontal line slope
P=4s (s=side)
zero
360°
Pi(diameter)

21. Circumference of a circle
(n-2)x180/n
Do not have slopes!
2(pi)r
A=(side)² or A=½(diagonal)²

22. If you measure all exterior angles in a polygon - they all equal
180°
(length)(width)(height)
x/360 x 2(pi)r or x/360 x C
360°

23. 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
(length)(width)(height)
Square (versus a rectangle)
180
Pi(diameter)

24. Distance Formula
360/n
N-2
D=Square root of (x2-x1)²+(y2-y1)²
x/360 x (pi)r² or x/360 x A

25. The sum of the angles in a quadrilateral is
(n-2)x180/n
P=4s (s=side)
360°
4/3(pi)r³

26. Slope of any line that goes down as you move from left to right is
6e²
Right
Negative
(pi)r²h

27. The consecutive angles in a parallelogram equal
Straight Angle
2(pi)rh+2(pi)r²
180°
2(pi)r

28. For any given Area - the rectangle with the smallest perimeter is a
Circumference/diameter c/d
360/n
Square (versus a rectangle)
2(lw+lh+wh)

29. Volume of a Cylinder
Parallelogram
Isosceles Trapezoid
(pi)r²h
Do not have slopes!

30. Volume of a cube
(n-2)x180/n
2(pi)rh
Edge³
360°

31. The Perimeter of a Square
360/n
P=4s (s=side)
2(pi)rh
D=Square root of (x2-x1)²+(y2-y1)²

32. Slope
y2-y1/x2-x1
L²+w²+h²=d²
360°
2(pi)rh

33. The area of a sector formed by an arc and 2 radii
Negative
A=(base)(height)
Edge³
x/360 x (pi)r² or x/360 x A

34. The sum of all angles around a point
4/3(pi)r³
180
360°
x/360 x (pi)r² or x/360 x A

35. Area of a Trapezoid:
L²+w²+h²=d²
A=½(base1+base2)(height)
Square (versus a rectangle)
Edge³

36. If one of the angles formed by an intersection is right - they'Re all right
(n-2)x180/n
zero
True
2(lw+lh+wh)

37. In any polygon - all external angles equal up to
Right
360°
Positive
L²+w²+h²=d²

38. What kind of trapezoid has equal parallel sides?
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
Straight Angle
Isosceles Trapezoid

39. In a Regular Polygon - the measure of each exterior angle
360/n
Positive
(n-2) x 180
y2-y1/x2-x1

40. An Angle that'S 180°
Straight Angle
x/360 x (pi)r² or x/360 x A
360°
2(pi)rh

41. Surface area of a cylinder
360°
zero
2(pi)rh
(pi)r²

42. Surface area of a rectangular solid
2(lw+lh+wh)
N-2
180
Square (versus a rectangle)

43. Formula for the surface area of a cube
6e²
Positive
Straight Angle
360°

44. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
Edge³
x/360 x (pi)r² or x/360 x A
Pi(diameter)

45. The Perimeter of a rectangle
y2-y1/x2-x1
P=2(l+w)
N-2
True