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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 consecutive angles in a parallelogram equal
N-2
180°
360°
(n-2) x 180

2. The surface area of a cynlinder plus top and bottom
360°
2(pi)rh+2(pi)r²
Isosceles Trapezoid
zero

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

4. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
Pi(diameter)
360°
P=2(l+w)

5. Formula for the surface area of a cube
2(lw+lh+wh)
360°
6e²
zero

6. Vertical lines
Do not have slopes!
(pi)r²
6e²
Positive

7. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
(pi)r²
Do not have slopes!
2(pi)rh

8. Volume of a rectangular solid
A=(base)(height)
Parallelogram
N-2
(length)(width)(height)

9. Volume of a Sphere
L²+w²+h²=d²
(pi)r²
360°
4/3(pi)r³

10. Circumference of a circle
(n-2)x180/n
Do not have slopes!
360°
2(pi)r

11. The Perimeter of a rectangle
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²h
180
P=2(l+w)

12. Pi
Square (versus a rectangle)
Circumference/diameter c/d
x/360 x 2(pi)r or x/360 x C
Negative

13. Distance Formula
(pi)r²
360°
D=Square root of (x2-x1)²+(y2-y1)²
(n-2)x180/n

14. Slope of any line that goes up from left to right
zero
Positive
(n-2)x180/n
(length)(width)(height)

15. The sum of the measures of the n angles in a polygon with n sides
360°
(n-2) x 180
2(pi)rh+2(pi)r²
360°

16. Area of a Rectangle:
A=½(base1+base2)(height)
P=4s (s=side)
A=(side)² or A=½(diagonal)²
Edge³

17. Formula for a diagonal
y2-y1/x2-x1
(pi)r²
360°
L²+w²+h²=d²

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

19. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
Parallelogram
360°
90°

20. Circumference of a circle
L²+w²+h²=d²
Pi(diameter)
True
45 45 90 Right triangles (x - x - x*square root of 2)

21. In a Regular Polygon - the measure of each exterior angle
360/n
P=2(l+w)
x/360 x 2(pi)r or x/360 x C
L²+w²+h²=d²

22. If one of the angles formed by an intersection is right - they'Re all right
x/360 x (pi)r² or x/360 x A
360°
Straight Angle
True

23. The sum of all angles around a point
360°
2(pi)rh
Pi(diameter)
4/3(pi)r³

24. In a Rectangle - each angles measures
Positive
D=Square root of (x2-x1)²+(y2-y1)²
90°
(pi)r²h

25. Area of a Trapezoid:
180°
90°
A=½(base1+base2)(height)
(pi)r²

26. Each diagonal divides a square into 2
Straight Angle
A=(side)² or A=½(diagonal)²
Right
45 45 90 Right triangles (x - x - x*square root of 2)

27. In any polygon - all external angles equal up to
360°
Parallelogram
A=(base)(height)
x/360 x (pi)r² or x/360 x A

28. Surface area of a cylinder
2(pi)rh
A=½(base1+base2)(height)
2(pi)r
x/360 x (pi)r² or x/360 x A

29. Area of a Parallelogram:
Do not have slopes!
A=(base)(height)
L²+w²+h²=d²
360°

30. For any given perimeter - the rectangle with the largest AREA is a
P=2(l+w)
A=½(base1+base2)(height)
Circumference/diameter c/d
Square (versus a rectangle)

31. The Perimeter of a Square
x/360 x (pi)r² or x/360 x A
(pi)r²
P=4s (s=side)
4/3(pi)r³

32. Slope
2(pi)r
2(lw+lh+wh)
N-2
y2-y1/x2-x1

33. Slope of any line that goes down as you move from left to right is
6e²
360°
x/360 x (pi)r² or x/360 x A
Negative

34. Surface area of a rectangular solid
2(lw+lh+wh)
True
(n-2) x 180
P=2(l+w)

35. The sum of the angles in a quadrilateral is
360/n
(length)(width)(height)
Parallelogram
360°

36. Volume of a Cylinder
(pi)r²h
360/n
360°
Positive

37. For any given Area - the rectangle with the smallest perimeter is a
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²h
360/n
Square (versus a rectangle)

38. A quadrilateral where two diagonals bisect each other
Edge³
zero
Parallelogram
360/n

39. Volume of a cube
(n-2) x 180
6e²
Edge³
Straight Angle

40. Any Horizontal line slope
L²+w²+h²=d²
P=4s (s=side)
Square (versus a rectangle)
zero

41. 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)
180
x/360 x 2(pi)r or x/360 x C
2(pi)rh+2(pi)r²

42. Area of a circle
Right
(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²
90°

43. If you measure all exterior angles in a polygon - they all equal
Positive
4/3(pi)r³
360°
Pi(diameter)

44. An Angle that'S 180°
Circumference/diameter c/d
4/3(pi)r³
P=2(l+w)
Straight Angle

45. In a rectangle - all angles are
(n-2) x 180
Right
(length)(width)(height)
A=½(base1+base2)(height)