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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 area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
A=½(base1+base2)(height)
Square (versus a rectangle)
P=4s (s=side)

2. If one of the angles formed by an intersection is right - they'Re all right
A=½(base1+base2)(height)
True
6e²
Positive

3. Formula for the surface area of a cube
(n-2) x 180
x/360 x (pi)r² or x/360 x A
360/n
6e²

4. Area of a Parallelogram:
L²+w²+h²=d²
A=(base)(height)
90°
360/n

5. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
Do not have slopes!
180
Pi(diameter)

6. 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
Right
2(pi)rh
(pi)r²
180

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

8. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
180
360°
y2-y1/x2-x1

9. Vertical lines
Do not have slopes!
P=4s (s=side)
Negative
180°

10. The sum of the angles in a quadrilateral is
2(pi)r
Pi(diameter)
360°
A=(base)(height)

11. For any given Area - the rectangle with the smallest perimeter is a
360°
Square (versus a rectangle)
Right
Negative

12. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
180°
y2-y1/x2-x1
(n-2)x180/n

13. Pi
2(pi)rh
Circumference/diameter c/d
180
2(lw+lh+wh)

14. The Perimeter of a Square
6e²
P=4s (s=side)
(n-2) x 180
Do not have slopes!

15. Slope of any line that goes down as you move from left to right is
Straight Angle
Negative
Circumference/diameter c/d
360°

16. Surface area of a cylinder
D=Square root of (x2-x1)²+(y2-y1)²
True
P=4s (s=side)
2(pi)rh

17. Volume of a Sphere
4/3(pi)r³
A=(base)(height)
Right
Positive

18. In a rectangle - all angles are
Straight Angle
Edge³
x/360 x 2(pi)r or x/360 x C
Right

19. The sum of all angles around a point
Negative
A=½(base1+base2)(height)
360°
Right

20. If you measure all exterior angles in a polygon - they all equal
4/3(pi)r³
y2-y1/x2-x1
Pi(diameter)
360°

21. Circumference of a circle
2(pi)r
x/360 x (pi)r² or x/360 x A
A=(side)² or A=½(diagonal)²
Negative

22. Volume of a Cylinder
(pi)r²h
(length)(width)(height)
360°
True

23. Formula for a diagonal
Right
Pi(diameter)
2(lw+lh+wh)
L²+w²+h²=d²

24. If an arc measures x - the length of the arc is
2(lw+lh+wh)
Negative
N-2
x/360 x 2(pi)r or x/360 x C

25. Area of a circle
A=(base)(height)
2(pi)rh
360°
(pi)r²

26. In any Regular Polygon - the measure of each interior angle
2(pi)r
(n-2)x180/n
A=(base)(height)
Parallelogram

27. An Angle that'S 180°
Straight Angle
Negative
Circumference/diameter c/d
(length)(width)(height)

28. Area of a Rectangle:
Edge³
Isosceles Trapezoid
4/3(pi)r³
A=(side)² or A=½(diagonal)²

29. In a Rectangle - each angles measures
Negative
2(pi)rh
90°
True

30. Any Horizontal line slope
Circumference/diameter c/d
4/3(pi)r³
zero
(length)(width)(height)

31. A quadrilateral where two diagonals bisect each other
P=2(l+w)
Isosceles Trapezoid
360/n
Parallelogram

32. Distance Formula
P=2(l+w)
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²
(n-2)x180/n

33. The Perimeter of a rectangle
360°
360°
Isosceles Trapezoid
P=2(l+w)

34. Slope
360°
y2-y1/x2-x1
True
(n-2) x 180

35. Volume of a rectangular solid
360/n
Circumference/diameter c/d
(length)(width)(height)
4/3(pi)r³

36. In a Regular Polygon - the measure of each exterior angle
(pi)r²
Do not have slopes!
360/n
2(pi)rh+2(pi)r²

37. In any polygon - all external angles equal up to
360°
A=½(base1+base2)(height)
360/n
4/3(pi)r³

38. Area of a Trapezoid:
2(pi)rh
A=½(base1+base2)(height)
A=(base)(height)
A=(side)² or A=½(diagonal)²

39. The sum of the measures of the n angles in a polygon with n sides
Square (versus a rectangle)
N-2
y2-y1/x2-x1
(n-2) x 180

40. Circumference of a circle
360°
Pi(diameter)
A=½(base1+base2)(height)
Parallelogram

41. Volume of a cube
2(lw+lh+wh)
Positive
Edge³
x/360 x 2(pi)r or x/360 x C

42. Slope of any line that goes up from left to right
360°
Positive
Negative
Pi(diameter)

43. Surface area of a rectangular solid
2(lw+lh+wh)
Square (versus a rectangle)
360°
180

44. The surface area of a cynlinder plus top and bottom
(length)(width)(height)
Straight Angle
A=½(base1+base2)(height)
2(pi)rh+2(pi)r²

45. The consecutive angles in a parallelogram equal
180°
Do not have slopes!
360°
x/360 x 2(pi)r or x/360 x C