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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 Regular Polygon - the measure of each exterior angle
(length)(width)(height)
zero
360/n
Straight Angle

2. An Angle that'S 180°
L²+w²+h²=d²
(length)(width)(height)
N-2
Straight Angle

3. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
360°
Right
A=(base)(height)

4. In a Rectangle - each angles measures
Do not have slopes!
90°
2(pi)r
P=4s (s=side)

5. Slope of any line that goes down as you move from left to right is
360/n
Negative
360°
A=½(base1+base2)(height)

6. The sum of all angles around a point
(n-2) x 180
Negative
360°
Pi(diameter)

7. The Perimeter of a rectangle
Edge³
180°
P=2(l+w)
90°

8. The consecutive angles in a parallelogram equal
Do not have slopes!
P=4s (s=side)
x/360 x 2(pi)r or x/360 x C
180°

9. Volume of a cube
Circumference/diameter c/d
Square (versus a rectangle)
P=4s (s=side)
Edge³

10. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
2(pi)r
90°
A=½(base1+base2)(height)

11. In any Regular Polygon - the measure of each interior angle
x/360 x 2(pi)r or x/360 x C
Isosceles Trapezoid
(n-2)x180/n
180°

12. Any Horizontal line slope
Square (versus a rectangle)
zero
4/3(pi)r³
L²+w²+h²=d²

13. Area of a circle
Pi(diameter)
Isosceles Trapezoid
360/n
(pi)r²

14. Circumference of a circle
Pi(diameter)
2(pi)r
N-2
True

15. The sum of the angles in a quadrilateral is
(n-2) x 180
Pi(diameter)
360°
(length)(width)(height)

16. Vertical lines
(pi)r²h
Do not have slopes!
L²+w²+h²=d²
90°

17. 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
P=2(l+w)
180
A=½(base1+base2)(height)
6e²

18. Formula for a diagonal
Do not have slopes!
360°
L²+w²+h²=d²
A=½(base1+base2)(height)

19. Surface area of a rectangular solid
2(pi)rh
180°
2(lw+lh+wh)
x/360 x (pi)r² or x/360 x A

20. The surface area of a cynlinder plus top and bottom
2(pi)r
2(pi)rh+2(pi)r²
Right
90°

21. Area of a Parallelogram:
(pi)r²
2(pi)rh+2(pi)r²
A=(base)(height)
(n-2) x 180

22. For any given perimeter - the rectangle with the largest AREA is a
360°
Square (versus a rectangle)
N-2
Isosceles Trapezoid

23. Circumference of a circle
(n-2) x 180
2(pi)rh+2(pi)r²
Pi(diameter)
Positive

24. Volume of a Sphere
4/3(pi)r³
6e²
Circumference/diameter c/d
Square (versus a rectangle)

25. Volume of a Cylinder
(n-2) x 180
Do not have slopes!
45 45 90 Right triangles (x - x - x*square root of 2)
(pi)r²h

26. Formula for the surface area of a cube
45 45 90 Right triangles (x - x - x*square root of 2)
P=2(l+w)
x/360 x 2(pi)r or x/360 x C
6e²

27. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
Positive
(pi)r²h
Negative

28. Slope of any line that goes up from left to right
Right
D=Square root of (x2-x1)²+(y2-y1)²
Circumference/diameter c/d
Positive

29. If an arc measures x - the length of the arc is
x/360 x 2(pi)r or x/360 x C
Edge³
2(pi)rh
(pi)r²h

30. For any given Area - the rectangle with the smallest perimeter is a
6e²
Isosceles Trapezoid
Square (versus a rectangle)
Straight Angle

31. In any polygon - all external angles equal up to
(n-2)x180/n
90°
360°
N-2

32. What kind of trapezoid has equal parallel sides?
Square (versus a rectangle)
(n-2)x180/n
Square (versus a rectangle)
Isosceles Trapezoid

33. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
True
A=(base)(height)
N-2
180

34. Pi
Circumference/diameter c/d
True
2(lw+lh+wh)
360/n

35. If one of the angles formed by an intersection is right - they'Re all right
P=4s (s=side)
True
360°
(length)(width)(height)

36. The Perimeter of a Square
A=(side)² or A=½(diagonal)²
Edge³
P=4s (s=side)
x/360 x 2(pi)r or x/360 x C

37. Surface area of a cylinder
2(pi)rh
A=½(base1+base2)(height)
180°
Square (versus a rectangle)

38. Each diagonal divides a square into 2
Parallelogram
Right
45 45 90 Right triangles (x - x - x*square root of 2)
Negative

39. Slope
x/360 x 2(pi)r or x/360 x C
y2-y1/x2-x1
360°
A=(side)² or A=½(diagonal)²

40. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)r
180
2(pi)rh

41. If you measure all exterior angles in a polygon - they all equal
Square (versus a rectangle)
360°
y2-y1/x2-x1
Negative

42. A quadrilateral where two diagonals bisect each other
2(pi)rh
(pi)r²
Parallelogram
Circumference/diameter c/d

43. Volume of a rectangular solid
(length)(width)(height)
Edge³
Do not have slopes!
360°

44. Area of a Trapezoid:
180
360°
A=½(base1+base2)(height)
P=4s (s=side)

45. In a rectangle - all angles are
Isosceles Trapezoid
Right
x/360 x (pi)r² or x/360 x A
Positive