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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. Any Horizontal line slope
zero
(pi)r²
y2-y1/x2-x1
True

2. Formula for the surface area of a cube
90°
N-2
2(pi)rh+2(pi)r²
6e²

3. An Angle that'S 180°
y2-y1/x2-x1
Do not have slopes!
Straight Angle
Negative

4. If you measure all exterior angles in a polygon - they all equal
360°
zero
Do not have slopes!
A=(side)² or A=½(diagonal)²

5. Volume of a rectangular solid
Isosceles Trapezoid
4/3(pi)r³
y2-y1/x2-x1
(length)(width)(height)

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

7. For any given Area - the rectangle with the smallest perimeter is a
y2-y1/x2-x1
A=(base)(height)
Square (versus a rectangle)
Pi(diameter)

8. Volume of a Cylinder
A=(side)² or A=½(diagonal)²
360°
2(pi)rh
(pi)r²h

9. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
L²+w²+h²=d²
(pi)r²h
zero

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

11. The consecutive angles in a parallelogram equal
A=(side)² or A=½(diagonal)²
Square (versus a rectangle)
P=2(l+w)
180°

12. In a rectangle - all angles are
x/360 x 2(pi)r or x/360 x C
Do not have slopes!
Right
360°

13. The surface area of a cynlinder plus top and bottom
6e²
2(pi)r
2(pi)rh+2(pi)r²
Circumference/diameter c/d

14. Area of a Parallelogram:
45 45 90 Right triangles (x - x - x*square root of 2)
4/3(pi)r³
A=½(base1+base2)(height)
A=(base)(height)

15. Volume of a Sphere
Square (versus a rectangle)
Do not have slopes!
4/3(pi)r³
(pi)r²h

16. Circumference of a circle
360/n
Negative
Pi(diameter)
y2-y1/x2-x1

17. A quadrilateral where two diagonals bisect each other
360/n
L²+w²+h²=d²
Parallelogram
2(pi)r

18. If an arc measures x - the length of the arc is
360°
zero
Edge³
x/360 x 2(pi)r or x/360 x C

19. Slope
y2-y1/x2-x1
(n-2)x180/n
Edge³
4/3(pi)r³

20. In a Regular Polygon - the measure of each exterior angle
360/n
Circumference/diameter c/d
x/360 x (pi)r² or x/360 x A
(n-2)x180/n

21. The sum of the angles in a quadrilateral is
A=(side)² or A=½(diagonal)²
D=Square root of (x2-x1)²+(y2-y1)²
360°
2(lw+lh+wh)

22. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
6e²
N-2
A=½(base1+base2)(height)
P=4s (s=side)

23. 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
2(lw+lh+wh)
Parallelogram
Circumference/diameter c/d

24. The Perimeter of a Square
x/360 x 2(pi)r or x/360 x C
P=4s (s=side)
Circumference/diameter c/d
(n-2)x180/n

25. Pi
A=(base)(height)
y2-y1/x2-x1
Circumference/diameter c/d
2(pi)rh

26. Volume of a cube
x/360 x (pi)r² or x/360 x A
Edge³
2(lw+lh+wh)
Circumference/diameter c/d

27. The area of a sector formed by an arc and 2 radii
360°
x/360 x (pi)r² or x/360 x A
Positive
180°

28. If one of the angles formed by an intersection is right - they'Re all right
2(pi)rh
Edge³
360°
True

29. Area of a circle
(pi)r²
360°
A=½(base1+base2)(height)
Circumference/diameter c/d

30. Circumference of a circle
360/n
Right
2(pi)r
2(pi)rh+2(pi)r²

31. Surface area of a cylinder
2(pi)rh
Edge³
(n-2) x 180
(n-2)x180/n

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

33. Slope of any line that goes down as you move from left to right is
Negative
True
180°
2(pi)rh

34. Area of a Rectangle:
90°
True
360°
A=(side)² or A=½(diagonal)²

35. Slope of any line that goes up from left to right
360°
Parallelogram
45 45 90 Right triangles (x - x - x*square root of 2)
Positive

36. Surface area of a rectangular solid
Square (versus a rectangle)
2(lw+lh+wh)
2(pi)rh+2(pi)r²
Pi(diameter)

37. Vertical lines
zero
Negative
Do not have slopes!
(pi)r²

38. The Perimeter of a rectangle
P=2(l+w)
Pi(diameter)
x/360 x (pi)r² or x/360 x A
(n-2)x180/n

39. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)r
360°
6e²

40. What kind of trapezoid has equal parallel sides?
Circumference/diameter c/d
Isosceles Trapezoid
(length)(width)(height)
P=4s (s=side)

41. In any polygon - all external angles equal up to
N-2
180
360°
6e²

42. Area of a Trapezoid:
6e²
A=½(base1+base2)(height)
zero
x/360 x (pi)r² or x/360 x A

43. Formula for a diagonal
360°
2(lw+lh+wh)
Parallelogram
L²+w²+h²=d²

44. In a Rectangle - each angles measures
90°
Square (versus a rectangle)
360°
(pi)r²h

45. The sum of all angles around a point
2(pi)rh
360/n
360°
Positive