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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
True
360°
Positive
6e²

2. Circumference of a circle
x/360 x (pi)r² or x/360 x A
A=½(base1+base2)(height)
Pi(diameter)
(n-2) x 180

3. Area of a Trapezoid:
360°
2(pi)rh
P=4s (s=side)
A=½(base1+base2)(height)

4. The Perimeter of a rectangle
P=2(l+w)
x/360 x (pi)r² or x/360 x A
N-2
zero

5. If one of the angles formed by an intersection is right - they'Re all right
2(pi)rh
Square (versus a rectangle)
True
x/360 x (pi)r² or x/360 x A

6. In a rectangle - all angles are
Right
360°
True
Pi(diameter)

7. Formula for the surface area of a cube
A=½(base1+base2)(height)
360°
6e²
4/3(pi)r³

8. Slope of any line that goes down as you move from left to right is
Right
x/360 x (pi)r² or x/360 x A
Negative
Parallelogram

9. The surface area of a cynlinder plus top and bottom
Negative
2(pi)rh+2(pi)r²
180°
Circumference/diameter c/d

10. Circumference of a circle
2(pi)r
360°
2(pi)rh+2(pi)r²
180

11. The area of a sector formed by an arc and 2 radii
360°
D=Square root of (x2-x1)²+(y2-y1)²
x/360 x (pi)r² or x/360 x A
180

12. Formula for a diagonal
6e²
(pi)r²h
Isosceles Trapezoid
L²+w²+h²=d²

13. Any Horizontal line slope
P=2(l+w)
Right
Straight Angle
zero

14. Area of a Parallelogram:
Positive
True
360°
A=(base)(height)

15. The Perimeter of a Square
45 45 90 Right triangles (x - x - x*square root of 2)
True
P=4s (s=side)
Circumference/diameter c/d

16. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
x/360 x 2(pi)r or x/360 x C
(n-2)x180/n
(pi)r²

17. In a Regular Polygon - the measure of each exterior angle
A=(base)(height)
360/n
2(pi)rh+2(pi)r²
360°

18. Volume of a cube
180°
Edge³
(pi)r²
2(pi)rh+2(pi)r²

19. Surface area of a rectangular solid
Parallelogram
Square (versus a rectangle)
(length)(width)(height)
2(lw+lh+wh)

20. An Angle that'S 180°
2(pi)r
360°
L²+w²+h²=d²
Straight Angle

21. Each diagonal divides a square into 2
180°
45 45 90 Right triangles (x - x - x*square root of 2)
A=(base)(height)
Square (versus a rectangle)

22. A quadrilateral where two diagonals bisect each other
A=(side)² or A=½(diagonal)²
2(lw+lh+wh)
Parallelogram
Circumference/diameter c/d

23. The consecutive angles in a parallelogram equal
180
180°
2(pi)rh+2(pi)r²
Parallelogram

24. Volume of a rectangular solid
Circumference/diameter c/d
P=2(l+w)
(length)(width)(height)
6e²

25. Area of a Rectangle:
Circumference/diameter c/d
A=(side)² or A=½(diagonal)²
L²+w²+h²=d²
x/360 x (pi)r² or x/360 x A

26. For any given perimeter - the rectangle with the largest AREA is a
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)
Pi(diameter)
Straight Angle

27. In any polygon - all external angles equal up to
Parallelogram
180
360°
2(pi)r

28. The sum of the angles in a quadrilateral is
Edge³
Square (versus a rectangle)
360°
Right

29. Pi
(pi)r²
Circumference/diameter c/d
360°
2(pi)rh

30. The sum of the measures of the n angles in a polygon with n sides
y2-y1/x2-x1
P=4s (s=side)
(pi)r²
(n-2) x 180

31. What kind of trapezoid has equal parallel sides?
Straight Angle
Isosceles Trapezoid
y2-y1/x2-x1
360°

32. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
180
Square (versus a rectangle)
Negative

33. Surface area of a cylinder
2(pi)rh
L²+w²+h²=d²
Positive
2(pi)rh+2(pi)r²

34. 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
Straight Angle
Edge³
2(pi)rh

35. Vertical lines
Square (versus a rectangle)
Right
Do not have slopes!
D=Square root of (x2-x1)²+(y2-y1)²

36. In any Regular Polygon - the measure of each interior angle
L²+w²+h²=d²
(n-2)x180/n
N-2
Circumference/diameter c/d

37. For any given Area - the rectangle with the smallest perimeter is a
180
Square (versus a rectangle)
360/n
P=2(l+w)

38. Area of a circle
360/n
2(pi)rh
A=(side)² or A=½(diagonal)²
(pi)r²

39. Slope
Edge³
y2-y1/x2-x1
Square (versus a rectangle)
(pi)r²

40. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
(length)(width)(height)
y2-y1/x2-x1
2(pi)rh+2(pi)r²

41. Volume of a Cylinder
True
(n-2) x 180
2(pi)rh
(pi)r²h

42. The sum of all angles around a point
180
360°
2(pi)rh
Right

43. Volume of a Sphere
(n-2)x180/n
4/3(pi)r³
A=½(base1+base2)(height)
Parallelogram

44. If you measure all exterior angles in a polygon - they all equal
360°
Do not have slopes!
A=(base)(height)
N-2

45. In a Rectangle - each angles measures
Negative
(n-2)x180/n
360°
90°