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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. An Angle that'S 180°
4/3(pi)r³
Straight Angle
180°
Square (versus a rectangle)

2. If you measure all exterior angles in a polygon - they all equal
P=4s (s=side)
(n-2) x 180
360°
45 45 90 Right triangles (x - x - x*square root of 2)

3. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
P=2(l+w)
(pi)r²h
N-2
Positive

4. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
Pi(diameter)
Parallelogram
x/360 x 2(pi)r or x/360 x C

5. In any polygon - all external angles equal up to
Square (versus a rectangle)
360°
360/n
Straight Angle

6. The sum of all angles around a point
360°
2(lw+lh+wh)
2(pi)rh
y2-y1/x2-x1

7. In a Regular Polygon - the measure of each exterior angle
2(pi)rh
45 45 90 Right triangles (x - x - x*square root of 2)
Isosceles Trapezoid
360/n

8. Any Horizontal line slope
zero
(n-2)x180/n
Square (versus a rectangle)
180

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

10. Area of a Rectangle:
(pi)r²
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
A=(base)(height)

11. A quadrilateral where two diagonals bisect each other
2(lw+lh+wh)
Parallelogram
(pi)r²
(n-2) x 180

12. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
A=(side)² or A=½(diagonal)²
180°
P=4s (s=side)

13. Distance Formula
P=4s (s=side)
D=Square root of (x2-x1)²+(y2-y1)²
360/n
2(pi)r

14. Area of a Trapezoid:
360°
Parallelogram
A=½(base1+base2)(height)
x/360 x 2(pi)r or x/360 x C

15. For any given Area - the rectangle with the smallest perimeter is a
D=Square root of (x2-x1)²+(y2-y1)²
Do not have slopes!
Square (versus a rectangle)
4/3(pi)r³

16. Volume of a cube
360°
x/360 x 2(pi)r or x/360 x C
2(pi)rh+2(pi)r²
Edge³

17. Pi
Circumference/diameter c/d
Edge³
2(pi)r
A=(base)(height)

18. Circumference of a circle
Right
Pi(diameter)
360°
2(pi)rh

19. Vertical lines
90°
Circumference/diameter c/d
Do not have slopes!
x/360 x 2(pi)r or x/360 x C

20. Surface area of a rectangular solid
2(lw+lh+wh)
Square (versus a rectangle)
2(pi)r
P=2(l+w)

21. The sum of the measures of the n angles in a polygon with n sides
L²+w²+h²=d²
(n-2) x 180
90°
x/360 x (pi)r² or x/360 x A

22. Volume of a rectangular solid
A=½(base1+base2)(height)
180°
Negative
(length)(width)(height)

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

24. The Perimeter of a Square
P=4s (s=side)
360°
4/3(pi)r³
P=2(l+w)

25. The sum of the angles in a quadrilateral is
360°
P=4s (s=side)
(n-2) x 180
(length)(width)(height)

26. If one of the angles formed by an intersection is right - they'Re all right
(n-2)x180/n
True
360°
Square (versus a rectangle)

27. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
360/n
2(pi)rh
180°

28. Formula for a diagonal
2(pi)rh
90°
x/360 x 2(pi)r or x/360 x C
L²+w²+h²=d²

29. Slope of any line that goes up from left to right
Negative
Positive
Isosceles Trapezoid
(n-2)x180/n

30. Volume of a Cylinder
2(pi)r
Right
(pi)r²h
Do not have slopes!

31. Volume of a Sphere
Parallelogram
4/3(pi)r³
zero
True

32. The consecutive angles in a parallelogram equal
2(pi)rh+2(pi)r²
180°
(n-2) x 180
Right

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

34. Circumference of a circle
2(pi)r
Right
Square (versus a rectangle)
Square (versus a rectangle)

35. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
Parallelogram
P=2(l+w)
N-2

36. The Perimeter of a rectangle
(pi)r²
P=2(l+w)
360/n
2(lw+lh+wh)

37. 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)r
y2-y1/x2-x1
180
2(pi)rh

38. Slope
Straight Angle
y2-y1/x2-x1
Edge³
Square (versus a rectangle)

39. In a rectangle - all angles are
zero
Right
2(pi)rh
True

40. Surface area of a cylinder
2(pi)rh
360°
(pi)r²h
2(pi)r

41. What kind of trapezoid has equal parallel sides?
(pi)r²h
A=(base)(height)
180
Isosceles Trapezoid

42. Area of a Parallelogram:
Do not have slopes!
A=(base)(height)
P=4s (s=side)
(pi)r²h

43. Area of a circle
A=(side)² or A=½(diagonal)²
360/n
N-2
(pi)r²

44. In a Rectangle - each angles measures
90°
Circumference/diameter c/d
(length)(width)(height)
(n-2) x 180

45. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
360°
Circumference/diameter c/d
2(pi)rh