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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 sum of the angles in a quadrilateral is
(n-2) x 180
360°
Edge³
Isosceles Trapezoid

2. Circumference of a circle
90°
4/3(pi)r³
Right
Pi(diameter)

3. Any Horizontal line slope
zero
Parallelogram
N-2
(n-2) x 180

4. Surface area of a cylinder
(pi)r²h
P=2(l+w)
2(pi)rh
Square (versus a rectangle)

5. A quadrilateral where two diagonals bisect each other
(n-2)x180/n
Positive
x/360 x 2(pi)r or x/360 x C
Parallelogram

6. Surface area of a rectangular solid
Parallelogram
(n-2) x 180
N-2
2(lw+lh+wh)

7. Formula for the surface area of a cube
Straight Angle
45 45 90 Right triangles (x - x - x*square root of 2)
2(lw+lh+wh)
6e²

8. For any given perimeter - the rectangle with the largest AREA is a
Pi(diameter)
Square (versus a rectangle)
(n-2) x 180
P=2(l+w)

9. Volume of a Cylinder
Square (versus a rectangle)
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²h
2(lw+lh+wh)

10. If you measure all exterior angles in a polygon - they all equal
2(lw+lh+wh)
4/3(pi)r³
x/360 x 2(pi)r or x/360 x C
360°

11. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
360/n
Square (versus a rectangle)
Positive

12. The Perimeter of a Square
Edge³
P=4s (s=side)
A=(side)² or A=½(diagonal)²
360°

13. Area of a Parallelogram:
(n-2)x180/n
A=(base)(height)
(pi)r²
Square (versus a rectangle)

14. The sum of all angles around a point
4/3(pi)r³
Parallelogram
2(lw+lh+wh)
360°

15. Each diagonal divides a square into 2
True
360°
Square (versus a rectangle)
45 45 90 Right triangles (x - x - x*square root of 2)

16. Area of a circle
360/n
(pi)r²
360°
N-2

17. In a Regular Polygon - the measure of each exterior angle
Pi(diameter)
360/n
A=(side)² or A=½(diagonal)²
L²+w²+h²=d²

18. Area of a Trapezoid:
2(lw+lh+wh)
P=4s (s=side)
A=½(base1+base2)(height)
Edge³

19. Formula for a diagonal
(pi)r²
L²+w²+h²=d²
y2-y1/x2-x1
A=½(base1+base2)(height)

20. 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
Edge³
180
2(lw+lh+wh)
zero

21. Vertical lines
Edge³
Do not have slopes!
A=(base)(height)
(n-2) x 180

22. The consecutive angles in a parallelogram equal
True
180°
Straight Angle
Do not have slopes!

23. Pi
Circumference/diameter c/d
4/3(pi)r³
A=(base)(height)
2(pi)rh+2(pi)r²

24. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
360/n
(pi)r²h
P=4s (s=side)

25. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
x/360 x 2(pi)r or x/360 x C
y2-y1/x2-x1
(n-2) x 180
N-2

26. Volume of a rectangular solid
(length)(width)(height)
A=(side)² or A=½(diagonal)²
(n-2) x 180
P=2(l+w)

27. The area of a sector formed by an arc and 2 radii
360°
(pi)r²
Square (versus a rectangle)
x/360 x (pi)r² or x/360 x A

28. The Perimeter of a rectangle
360°
360°
D=Square root of (x2-x1)²+(y2-y1)²
P=2(l+w)

29. Slope
y2-y1/x2-x1
45 45 90 Right triangles (x - x - x*square root of 2)
Straight Angle
Right

30. For any given Area - the rectangle with the smallest perimeter is a
P=4s (s=side)
Square (versus a rectangle)
90°
Circumference/diameter c/d

31. Area of a Rectangle:
45 45 90 Right triangles (x - x - x*square root of 2)
A=(side)² or A=½(diagonal)²
180°
2(pi)r

32. An Angle that'S 180°
Straight Angle
90°
Positive
(pi)r²h

33. In a Rectangle - each angles measures
360°
90°
360°
(pi)r²

34. Circumference of a circle
360°
2(pi)r
Straight Angle
Square (versus a rectangle)

35. Distance Formula
360/n
D=Square root of (x2-x1)²+(y2-y1)²
180
360°

36. Volume of a Sphere
180
(pi)r²h
Negative
4/3(pi)r³

37. The surface area of a cynlinder plus top and bottom
A=½(base1+base2)(height)
zero
2(pi)rh+2(pi)r²
360°

38. Slope of any line that goes up from left to right
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
Circumference/diameter c/d
(n-2) x 180

39. Volume of a cube
(pi)r²h
2(pi)rh
Edge³
A=½(base1+base2)(height)

40. Slope of any line that goes down as you move from left to right is
2(pi)rh+2(pi)r²
Negative
Square (versus a rectangle)
2(lw+lh+wh)

41. If one of the angles formed by an intersection is right - they'Re all right
y2-y1/x2-x1
4/3(pi)r³
True
P=4s (s=side)

42. In any polygon - all external angles equal up to
Square (versus a rectangle)
360°
Right
Square (versus a rectangle)

43. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
D=Square root of (x2-x1)²+(y2-y1)²
360°
x/360 x 2(pi)r or x/360 x C

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

45. In a rectangle - all angles are
Do not have slopes!
45 45 90 Right triangles (x - x - x*square root of 2)
P=4s (s=side)
Right