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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. Circumference of a circle
4/3(pi)r³
Pi(diameter)
A=(base)(height)
90°

2. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
45 45 90 Right triangles (x - x - x*square root of 2)
L²+w²+h²=d²
(length)(width)(height)

3. Slope of any line that goes down as you move from left to right is
2(pi)rh+2(pi)r²
Negative
360°
(pi)r²

4. Area of a circle
(pi)r²
360°
Straight Angle
D=Square root of (x2-x1)²+(y2-y1)²

5. Formula for the surface area of a cube
6e²
2(pi)r
A=(base)(height)
Right

6. The sum of all angles around a point
Negative
A=(base)(height)
360°
Edge³

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

8. Each diagonal divides a square into 2
(n-2) x 180
N-2
45 45 90 Right triangles (x - x - x*square root of 2)
360°

9. Surface area of a cylinder
2(pi)rh
True
Do not have slopes!
(n-2) x 180

10. Area of a Trapezoid:
(pi)r²h
Isosceles Trapezoid
2(pi)rh+2(pi)r²
A=½(base1+base2)(height)

11. 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
6e²
Positive
180
Parallelogram

12. Area of a Rectangle:
Isosceles Trapezoid
Positive
2(lw+lh+wh)
A=(side)² or A=½(diagonal)²

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

14. Circumference of a circle
2(pi)r
6e²
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²

15. The sum of the measures of the n angles in a polygon with n sides
Pi(diameter)
(n-2) x 180
A=½(base1+base2)(height)
x/360 x (pi)r² or x/360 x A

16. The sum of the angles in a quadrilateral is
A=½(base1+base2)(height)
zero
Parallelogram
360°

17. The consecutive angles in a parallelogram equal
Right
180°
A=(side)² or A=½(diagonal)²
2(pi)rh+2(pi)r²

18. Pi
(n-2)x180/n
Circumference/diameter c/d
Straight Angle
Negative

19. For any given Area - the rectangle with the smallest perimeter is a
P=4s (s=side)
2(pi)rh+2(pi)r²
Square (versus a rectangle)
Parallelogram

20. Surface area of a rectangular solid
6e²
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)
2(lw+lh+wh)

21. Slope of any line that goes up from left to right
A=½(base1+base2)(height)
(n-2) x 180
Positive
360°

22. For any given perimeter - the rectangle with the largest AREA is a
2(pi)rh
P=2(l+w)
360°
Square (versus a rectangle)

23. In any polygon - all external angles equal up to
Parallelogram
L²+w²+h²=d²
D=Square root of (x2-x1)²+(y2-y1)²
360°

24. Slope
y2-y1/x2-x1
Straight Angle
4/3(pi)r³
x/360 x 2(pi)r or x/360 x C

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

26. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
90°
zero
True
N-2

27. The Perimeter of a rectangle
P=2(l+w)
Square (versus a rectangle)
Isosceles Trapezoid
360°

28. An Angle that'S 180°
(pi)r²h
Square (versus a rectangle)
Straight Angle
360/n

29. Area of a Parallelogram:
(n-2) x 180
A=(base)(height)
360°
Do not have slopes!

30. If you measure all exterior angles in a polygon - they all equal
Right
360°
zero
A=½(base1+base2)(height)

31. Formula for a diagonal
Square (versus a rectangle)
L²+w²+h²=d²
Parallelogram
Square (versus a rectangle)

32. In a Rectangle - each angles measures
90°
N-2
D=Square root of (x2-x1)²+(y2-y1)²
A=½(base1+base2)(height)

33. The Perimeter of a Square
(n-2) x 180
2(lw+lh+wh)
P=4s (s=side)
180

34. Volume of a rectangular solid
(length)(width)(height)
A=(side)² or A=½(diagonal)²
True
2(pi)rh

35. A quadrilateral where two diagonals bisect each other
D=Square root of (x2-x1)²+(y2-y1)²
P=4s (s=side)
N-2
Parallelogram

36. Vertical lines
P=4s (s=side)
P=2(l+w)
(n-2) x 180
Do not have slopes!

37. In a rectangle - all angles are
(length)(width)(height)
6e²
Right
4/3(pi)r³

38. What kind of trapezoid has equal parallel sides?
360°
P=2(l+w)
Square (versus a rectangle)
Isosceles Trapezoid

39. If an arc measures x - the length of the arc is
2(pi)rh+2(pi)r²
x/360 x 2(pi)r or x/360 x C
Pi(diameter)
(n-2)x180/n

40. Volume of a Cylinder
360°
(pi)r²h
360°
(length)(width)(height)

41. Volume of a cube
45 45 90 Right triangles (x - x - x*square root of 2)
Pi(diameter)
Edge³
2(pi)rh

42. Any Horizontal line slope
P=4s (s=side)
2(lw+lh+wh)
P=2(l+w)
zero

43. In any Regular Polygon - the measure of each interior angle
x/360 x 2(pi)r or x/360 x C
(n-2)x180/n
N-2
360°

44. If one of the angles formed by an intersection is right - they'Re all right
True
P=2(l+w)
360°
Do not have slopes!

45. Volume of a Sphere
(pi)r²
P=2(l+w)
4/3(pi)r³
N-2