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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. An Angle that'S 180°
x/360 x 2(pi)r or x/360 x C
Straight Angle
x/360 x (pi)r² or x/360 x A
4/3(pi)r³

2. In any polygon - all external angles equal up to
(n-2) x 180
360°
Edge³
Positive

3. For any given Area - the rectangle with the smallest perimeter is a
360°
P=4s (s=side)
Square (versus a rectangle)
180°

4. Volume of a rectangular solid
(length)(width)(height)
360°
True
(pi)r²

5. The Perimeter of a Square
P=4s (s=side)
Positive
x/360 x 2(pi)r or x/360 x C
Edge³

6. In any Regular Polygon - the measure of each interior angle
A=(side)² or A=½(diagonal)²
(n-2)x180/n
Square (versus a rectangle)
2(pi)rh

7. Each diagonal divides a square into 2
L²+w²+h²=d²
(n-2)x180/n
45 45 90 Right triangles (x - x - x*square root of 2)
True

8. Surface area of a cylinder
2(pi)rh
6e²
zero
Circumference/diameter c/d

9. Distance Formula
360°
D=Square root of (x2-x1)²+(y2-y1)²
A=(base)(height)
4/3(pi)r³

10. The consecutive angles in a parallelogram equal
180°
D=Square root of (x2-x1)²+(y2-y1)²
2(lw+lh+wh)
L²+w²+h²=d²

11. Volume of a cube
Straight Angle
Edge³
180°
(n-2) x 180

12. If you measure all exterior angles in a polygon - they all equal
A=(side)² or A=½(diagonal)²
45 45 90 Right triangles (x - x - x*square root of 2)
360°
90°

13. Any Horizontal line slope
P=4s (s=side)
Straight Angle
zero
Parallelogram

14. In a rectangle - all angles are
360°
Right
Square (versus a rectangle)
Negative

15. Area of a Rectangle:
(n-2)x180/n
A=(side)² or A=½(diagonal)²
P=2(l+w)
zero

16. 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
360/n
180
L²+w²+h²=d²
Parallelogram

17. In a Rectangle - each angles measures
2(pi)r
90°
45 45 90 Right triangles (x - x - x*square root of 2)
180°

18. What kind of trapezoid has equal parallel sides?
Do not have slopes!
Isosceles Trapezoid
2(pi)r
(pi)r²h

19. Slope of any line that goes up from left to right
360/n
y2-y1/x2-x1
Square (versus a rectangle)
Positive

20. Circumference of a circle
P=2(l+w)
Isosceles Trapezoid
Pi(diameter)
4/3(pi)r³

21. Area of a Trapezoid:
(n-2) x 180
A=½(base1+base2)(height)
180
2(lw+lh+wh)

22. Slope
y2-y1/x2-x1
360°
Square (versus a rectangle)
2(lw+lh+wh)

23. Slope of any line that goes down as you move from left to right is
4/3(pi)r³
Negative
A=(side)² or A=½(diagonal)²
360/n

24. If one of the angles formed by an intersection is right - they'Re all right
True
Square (versus a rectangle)
360°
4/3(pi)r³

25. The sum of the measures of the n angles in a polygon with n sides
360°
Negative
(n-2) x 180
A=(base)(height)

26. Volume of a Cylinder
(pi)r²h
360°
Negative
(n-2) x 180

27. The sum of the angles in a quadrilateral is
6e²
Pi(diameter)
Negative
360°

28. Formula for a diagonal
(pi)r²h
2(pi)rh+2(pi)r²
L²+w²+h²=d²
2(pi)rh

29. The surface area of a cynlinder plus top and bottom
Do not have slopes!
4/3(pi)r³
A=(side)² or A=½(diagonal)²
2(pi)rh+2(pi)r²

30. In a Regular Polygon - the measure of each exterior angle
360/n
2(pi)rh
(length)(width)(height)
360°

31. Area of a circle
90°
(length)(width)(height)
2(pi)r
(pi)r²

32. Area of a Parallelogram:
360°
P=2(l+w)
A=(base)(height)
6e²

33. The area of a sector formed by an arc and 2 radii
(pi)r²
Right
x/360 x (pi)r² or x/360 x A
(length)(width)(height)

34. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
A=½(base1+base2)(height)
2(pi)rh+2(pi)r²
N-2
Positive

35. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
360°
(n-2) x 180
P=4s (s=side)

36. Volume of a Sphere
180
4/3(pi)r³
P=4s (s=side)
Parallelogram

37. Circumference of a circle
4/3(pi)r³
(pi)r²h
2(pi)r
90°

38. Formula for the surface area of a cube
360/n
6e²
(pi)r²h
Square (versus a rectangle)

39. The Perimeter of a rectangle
L²+w²+h²=d²
4/3(pi)r³
P=2(l+w)
360°

40. Surface area of a rectangular solid
L²+w²+h²=d²
4/3(pi)r³
2(lw+lh+wh)
360/n

41. Pi
Circumference/diameter c/d
A=½(base1+base2)(height)
(n-2)x180/n
N-2

42. Vertical lines
A=½(base1+base2)(height)
Do not have slopes!
A=(base)(height)
Straight Angle

43. The sum of all angles around a point
360°
A=(base)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
y2-y1/x2-x1

44. If an arc measures x - the length of the arc is
Straight Angle
x/360 x 2(pi)r or x/360 x C
A=(base)(height)
N-2

45. A quadrilateral where two diagonals bisect each other
A=(side)² or A=½(diagonal)²
Parallelogram
Positive
(length)(width)(height)