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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. Slope of any line that goes up from left to right
x/360 x 2(pi)r or x/360 x C
L²+w²+h²=d²
Positive
A=(side)² or A=½(diagonal)²

2. In a Regular Polygon - the measure of each exterior angle
Square (versus a rectangle)
360/n
2(pi)rh
A=(base)(height)

3. The Perimeter of a Square
360°
y2-y1/x2-x1
90°
P=4s (s=side)

4. The sum of the measures of the n angles in a polygon with n sides
(pi)r²h
(n-2) x 180
N-2
2(pi)rh

5. A quadrilateral where two diagonals bisect each other
4/3(pi)r³
P=2(l+w)
Parallelogram
Negative

6. Formula for a diagonal
Negative
Right
Square (versus a rectangle)
L²+w²+h²=d²

7. Vertical lines
True
Do not have slopes!
x/360 x 2(pi)r or x/360 x C
2(pi)rh

8. Surface area of a cylinder
True
x/360 x 2(pi)r or x/360 x C
2(pi)rh
360°

9. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
Edge³
(n-2)x180/n
180°

10. The surface area of a cynlinder plus top and bottom
N-2
360/n
Straight Angle
2(pi)rh+2(pi)r²

11. Area of a Trapezoid:
L²+w²+h²=d²
P=2(l+w)
A=½(base1+base2)(height)
(length)(width)(height)

12. Area of a circle
(length)(width)(height)
P=4s (s=side)
(pi)r²
A=½(base1+base2)(height)

13. The Perimeter of a rectangle
2(pi)rh
x/360 x 2(pi)r or x/360 x C
P=2(l+w)
180

14. 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)
(pi)r²
360°
180

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

16. For any given Area - the rectangle with the smallest perimeter is a
N-2
Square (versus a rectangle)
Parallelogram
Do not have slopes!

17. Circumference of a circle
90°
2(pi)rh
True
2(pi)r

18. If you measure all exterior angles in a polygon - they all equal
Square (versus a rectangle)
360°
Circumference/diameter c/d
True

19. In a rectangle - all angles are
Right
Square (versus a rectangle)
y2-y1/x2-x1
x/360 x 2(pi)r or x/360 x C

20. Slope of any line that goes down as you move from left to right is
Negative
2(lw+lh+wh)
A=½(base1+base2)(height)
Square (versus a rectangle)

21. The area of a sector formed by an arc and 2 radii
Parallelogram
zero
360°
x/360 x (pi)r² or x/360 x A

22. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
x/360 x (pi)r² or x/360 x A
90°
Positive

23. The consecutive angles in a parallelogram equal
180
Straight Angle
180°
Pi(diameter)

24. Circumference of a circle
x/360 x 2(pi)r or x/360 x C
Edge³
Square (versus a rectangle)
Pi(diameter)

25. In a Rectangle - each angles measures
Positive
90°
360/n
A=(side)² or A=½(diagonal)²

26. Volume of a Sphere
4/3(pi)r³
Isosceles Trapezoid
Right
Negative

27. Area of a Parallelogram:
A=(base)(height)
A=½(base1+base2)(height)
360°
D=Square root of (x2-x1)²+(y2-y1)²

28. The sum of the angles in a quadrilateral is
P=2(l+w)
Edge³
360°
Straight Angle

29. Area of a Rectangle:
D=Square root of (x2-x1)²+(y2-y1)²
Negative
A=(side)² or A=½(diagonal)²
45 45 90 Right triangles (x - x - x*square root of 2)

30. Surface area of a rectangular solid
2(pi)rh+2(pi)r²
(pi)r²h
2(lw+lh+wh)
2(pi)rh

31. For any given perimeter - the rectangle with the largest AREA is a
4/3(pi)r³
2(pi)rh
360°
Square (versus a rectangle)

32. In any Regular Polygon - the measure of each interior angle
Do not have slopes!
360/n
(n-2)x180/n
360°

33. Pi
Circumference/diameter c/d
Pi(diameter)
Isosceles Trapezoid
45 45 90 Right triangles (x - x - x*square root of 2)

34. Volume of a rectangular solid
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)rh+2(pi)r²
360°
(length)(width)(height)

35. Volume of a cube
D=Square root of (x2-x1)²+(y2-y1)²
Edge³
360°
360°

36. In any polygon - all external angles equal up to
360°
P=2(l+w)
90°
Pi(diameter)

37. An Angle that'S 180°
Straight Angle
180
True
Isosceles Trapezoid

38. Formula for the surface area of a cube
2(pi)rh
6e²
360°
Negative

39. What kind of trapezoid has equal parallel sides?
360/n
360°
Isosceles Trapezoid
(n-2)x180/n

40. Slope
N-2
Square (versus a rectangle)
y2-y1/x2-x1
True

41. The sum of all angles around a point
zero
y2-y1/x2-x1
360°
180°

42. Distance Formula
Right
(pi)r²
A=(base)(height)
D=Square root of (x2-x1)²+(y2-y1)²

43. Volume of a Cylinder
360°
Do not have slopes!
(pi)r²h
360/n

44. If one of the angles formed by an intersection is right - they'Re all right
2(pi)rh
True
Right
Square (versus a rectangle)

45. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
360°
N-2
2(pi)r
180