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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. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
90°
Edge³
A=½(base1+base2)(height)

2. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
Parallelogram
Square (versus a rectangle)
x/360 x 2(pi)r or x/360 x C

3. The sum of all angles around a point
Isosceles Trapezoid
360°
True
Square (versus a rectangle)

4. The sum of the measures of the n angles in a polygon with n sides
180
P=4s (s=side)
x/360 x (pi)r² or x/360 x A
(n-2) x 180

5. Distance Formula
x/360 x 2(pi)r or x/360 x C
Isosceles Trapezoid
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²

6. Area of a circle
Pi(diameter)
(pi)r²
360/n
zero

7. In a rectangle - all angles are
Isosceles Trapezoid
A=½(base1+base2)(height)
Right
Positive

8. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
45 45 90 Right triangles (x - x - x*square root of 2)
Parallelogram
(n-2)x180/n
N-2

9. 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(pi)rh
Do not have slopes!
P=4s (s=side)

10. The sum of the angles in a quadrilateral is
P=2(l+w)
A=½(base1+base2)(height)
D=Square root of (x2-x1)²+(y2-y1)²
360°

11. Formula for the surface area of a cube
6e²
D=Square root of (x2-x1)²+(y2-y1)²
Negative
Pi(diameter)

12. Surface area of a cylinder
2(pi)rh
A=(base)(height)
(n-2)x180/n
360/n

13. Each diagonal divides a square into 2
Pi(diameter)
Isosceles Trapezoid
360°
45 45 90 Right triangles (x - x - x*square root of 2)

14. Pi
45 45 90 Right triangles (x - x - x*square root of 2)
360°
N-2
Circumference/diameter c/d

15. An Angle that'S 180°
Straight Angle
6e²
360°
Pi(diameter)

16. Volume of a Sphere
4/3(pi)r³
(pi)r²
P=2(l+w)
Right

17. The surface area of a cynlinder plus top and bottom
P=4s (s=side)
90°
2(pi)rh+2(pi)r²
Straight Angle

18. In a Rectangle - each angles measures
90°
x/360 x (pi)r² or x/360 x A
Positive
P=4s (s=side)

19. Vertical lines
(pi)r²h
Do not have slopes!
A=(side)² or A=½(diagonal)²
y2-y1/x2-x1

20. A quadrilateral where two diagonals bisect each other
(n-2)x180/n
Parallelogram
A=(base)(height)
(n-2) x 180

21. If one of the angles formed by an intersection is right - they'Re all right
True
y2-y1/x2-x1
2(pi)rh+2(pi)r²
360°

22. Volume of a Cylinder
True
(pi)r²h
Do not have slopes!
Edge³

23. Volume of a cube
Edge³
zero
Right
Negative

24. The Perimeter of a rectangle
6e²
(length)(width)(height)
(n-2)x180/n
P=2(l+w)

25. The consecutive angles in a parallelogram equal
Right
L²+w²+h²=d²
360°
180°

26. Circumference of a circle
Negative
A=½(base1+base2)(height)
A=(base)(height)
Pi(diameter)

27. The Perimeter of a Square
P=4s (s=side)
360°
Circumference/diameter c/d
(n-2)x180/n

28. Any Horizontal line slope
360°
zero
Square (versus a rectangle)
N-2

29. If you measure all exterior angles in a polygon - they all equal
x/360 x (pi)r² or x/360 x A
6e²
360°
P=4s (s=side)

30. The area of a sector formed by an arc and 2 radii
Positive
2(pi)r
x/360 x (pi)r² or x/360 x A
L²+w²+h²=d²

31. Area of a Parallelogram:
Straight Angle
4/3(pi)r³
A=(base)(height)
2(lw+lh+wh)

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

33. In a Regular Polygon - the measure of each exterior angle
True
N-2
360/n
A=(side)² or A=½(diagonal)²

34. In any Regular Polygon - the measure of each interior angle
Negative
(n-2)x180/n
Isosceles Trapezoid
Square (versus a rectangle)

35. Slope of any line that goes up from left to right
True
(pi)r²h
Positive
L²+w²+h²=d²

36. Circumference of a circle
360°
Positive
2(pi)r
P=4s (s=side)

37. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
180
(pi)r²h
Square (versus a rectangle)

38. Volume of a rectangular solid
Positive
Right
Pi(diameter)
(length)(width)(height)

39. Slope of any line that goes down as you move from left to right is
P=2(l+w)
x/360 x 2(pi)r or x/360 x C
2(pi)r
Negative

40. Area of a Trapezoid:
360°
(n-2) x 180
A=½(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

41. Surface area of a rectangular solid
zero
2(pi)r
2(lw+lh+wh)
4/3(pi)r³

42. Formula for a diagonal
4/3(pi)r³
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²
True

43. Slope
y2-y1/x2-x1
A=(base)(height)
Square (versus a rectangle)
Negative

44. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
Right
360/n
A=(side)² or A=½(diagonal)²

45. In any polygon - all external angles equal up to
A=½(base1+base2)(height)
180
(pi)r²h
360°