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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. In a Rectangle - each angles measures
D=Square root of (x2-x1)²+(y2-y1)²
90°
L²+w²+h²=d²
360°

2. The consecutive angles in a parallelogram equal
P=2(l+w)
180°
2(pi)rh
Isosceles Trapezoid

3. An Angle that'S 180°
Do not have slopes!
Straight Angle
360°
2(pi)rh+2(pi)r²

4. The sum of the angles in a quadrilateral is
360°
2(pi)rh
(pi)r²
4/3(pi)r³

5. In a rectangle - all angles are
P=4s (s=side)
D=Square root of (x2-x1)²+(y2-y1)²
Right
180

6. Vertical lines
360/n
A=(base)(height)
2(lw+lh+wh)
Do not have slopes!

7. Volume of a Sphere
90°
True
4/3(pi)r³
45 45 90 Right triangles (x - x - x*square root of 2)

8. 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
2(pi)rh+2(pi)r²
180
2(pi)rh
360°

9. In a Regular Polygon - the measure of each exterior angle
360/n
Parallelogram
2(pi)rh+2(pi)r²
x/360 x 2(pi)r or x/360 x C

10. Any Horizontal line slope
(n-2) x 180
2(pi)rh+2(pi)r²
zero
P=4s (s=side)

11. In any polygon - all external angles equal up to
(length)(width)(height)
360°
x/360 x 2(pi)r or x/360 x C
D=Square root of (x2-x1)²+(y2-y1)²

12. If you measure all exterior angles in a polygon - they all equal
2(pi)rh+2(pi)r²
N-2
360°
x/360 x (pi)r² or x/360 x A

13. Distance Formula
Do not have slopes!
D=Square root of (x2-x1)²+(y2-y1)²
Edge³
180

14. Surface area of a rectangular solid
360/n
2(lw+lh+wh)
360°
A=(side)² or A=½(diagonal)²

15. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
360°
180°
360°

16. Circumference of a circle
90°
N-2
Pi(diameter)
180°

17. Volume of a cube
y2-y1/x2-x1
2(pi)rh+2(pi)r²
Edge³
Negative

18. Pi
Circumference/diameter c/d
(length)(width)(height)
P=2(l+w)
y2-y1/x2-x1

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

20. If an arc measures x - the length of the arc is
2(pi)rh
A=(base)(height)
2(pi)r
x/360 x 2(pi)r or x/360 x C

21. Formula for the surface area of a cube
y2-y1/x2-x1
Circumference/diameter c/d
Do not have slopes!
6e²

22. Formula for a diagonal
P=4s (s=side)
Circumference/diameter c/d
90°
L²+w²+h²=d²

23. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
L²+w²+h²=d²
(pi)r²h
Square (versus a rectangle)

24. Circumference of a circle
2(pi)r
2(pi)rh+2(pi)r²
Isosceles Trapezoid
4/3(pi)r³

25. The area of a sector formed by an arc and 2 radii
A=½(base1+base2)(height)
x/360 x (pi)r² or x/360 x A
(pi)r²
Straight Angle

26. Surface area of a cylinder
2(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)rh
A=(side)² or A=½(diagonal)²

27. Slope
360°
y2-y1/x2-x1
Parallelogram
360°

28. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
(pi)r²h
Edge³
zero

29. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
(n-2) x 180
Right
y2-y1/x2-x1

30. The sum of all angles around a point
Right
360°
180°
A=(base)(height)

31. Volume of a Cylinder
(pi)r²h
360°
x/360 x (pi)r² or x/360 x A
Negative

32. The Perimeter of a rectangle
Do not have slopes!
P=2(l+w)
y2-y1/x2-x1
360°

33. The sum of the measures of the n angles in a polygon with n sides
D=Square root of (x2-x1)²+(y2-y1)²
(n-2) x 180
2(lw+lh+wh)
180

34. Each diagonal divides a square into 2
Square (versus a rectangle)
Isosceles Trapezoid
L²+w²+h²=d²
45 45 90 Right triangles (x - x - x*square root of 2)

35. If one of the angles formed by an intersection is right - they'Re all right
Isosceles Trapezoid
4/3(pi)r³
True
2(pi)rh+2(pi)r²

36. What kind of trapezoid has equal parallel sides?
Positive
Negative
Isosceles Trapezoid
Square (versus a rectangle)

37. Area of a circle
360°
360°
(pi)r²
Do not have slopes!

38. Volume of a rectangular solid
True
(length)(width)(height)
360°
2(pi)r

39. A quadrilateral where two diagonals bisect each other
Parallelogram
Positive
(pi)r²
y2-y1/x2-x1

40. Slope of any line that goes down as you move from left to right is
True
Edge³
(pi)r²
Negative

41. Area of a Parallelogram:
A=(base)(height)
2(pi)rh+2(pi)r²
360°
y2-y1/x2-x1

42. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
Isosceles Trapezoid
Circumference/diameter c/d
Square (versus a rectangle)

43. Slope of any line that goes up from left to right
(pi)r²
Positive
90°
Circumference/diameter c/d

44. Area of a Trapezoid:
360/n
A=½(base1+base2)(height)
P=2(l+w)
6e²

45. The Perimeter of a Square
True
P=4s (s=side)
A=(side)² or A=½(diagonal)²
(n-2)x180/n