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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 sum of all angles around a point
45 45 90 Right triangles (x - x - x*square root of 2)
6e²
A=(base)(height)
360°

2. Volume of a rectangular solid
Negative
N-2
(length)(width)(height)
4/3(pi)r³

3. Area of a Rectangle:
x/360 x (pi)r² or x/360 x A
2(pi)r
360°
A=(side)² or A=½(diagonal)²

4. The Perimeter of a Square
(pi)r²h
P=4s (s=side)
(length)(width)(height)
True

5. Slope of any line that goes down as you move from left to right is
Straight Angle
Negative
Right
N-2

6. In a Regular Polygon - the measure of each exterior angle
Positive
360/n
x/360 x 2(pi)r or x/360 x C
(pi)r²h

7. The area of a sector formed by an arc and 2 radii
360°
x/360 x (pi)r² or x/360 x A
6e²
A=½(base1+base2)(height)

8. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
(pi)r²h
45 45 90 Right triangles (x - x - x*square root of 2)
x/360 x 2(pi)r or x/360 x C

9. The sum of the measures of the n angles in a polygon with n sides
360°
(n-2) x 180
Square (versus a rectangle)
(pi)r²

10. Formula for a diagonal
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²
Parallelogram
A=½(base1+base2)(height)

11. The sum of the angles in a quadrilateral is
2(pi)rh
360°
Straight Angle
A=½(base1+base2)(height)

12. If an arc measures x - the length of the arc is
(length)(width)(height)
A=½(base1+base2)(height)
2(lw+lh+wh)
x/360 x 2(pi)r or x/360 x C

13. A quadrilateral where two diagonals bisect each other
(length)(width)(height)
360/n
(n-2) x 180
Parallelogram

14. Circumference of a circle
Pi(diameter)
2(pi)rh+2(pi)r²
360°
2(pi)rh

15. What kind of trapezoid has equal parallel sides?
180
Parallelogram
Isosceles Trapezoid
2(pi)r

16. Distance Formula
Edge³
N-2
(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²

17. Area of a circle
180°
(length)(width)(height)
6e²
(pi)r²

18. Formula for the surface area of a cube
Pi(diameter)
6e²
Square (versus a rectangle)
Square (versus a rectangle)

19. Vertical lines
Circumference/diameter c/d
y2-y1/x2-x1
Do not have slopes!
2(pi)rh

20. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
Square (versus a rectangle)
True
N-2
P=2(l+w)

21. 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
True
A=(side)² or A=½(diagonal)²
180
2(pi)rh

22. Area of a Parallelogram:
Straight Angle
Square (versus a rectangle)
6e²
A=(base)(height)

23. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
L²+w²+h²=d²
Do not have slopes!
360/n

24. Pi
Isosceles Trapezoid
Edge³
Circumference/diameter c/d
zero

25. If one of the angles formed by an intersection is right - they'Re all right
Positive
L²+w²+h²=d²
True
Circumference/diameter c/d

26. Surface area of a rectangular solid
2(lw+lh+wh)
x/360 x 2(pi)r or x/360 x C
Right
A=½(base1+base2)(height)

27. The consecutive angles in a parallelogram equal
360/n
P=4s (s=side)
Edge³
180°

28. In a Rectangle - each angles measures
Positive
D=Square root of (x2-x1)²+(y2-y1)²
90°
x/360 x (pi)r² or x/360 x A

29. In a rectangle - all angles are
360/n
Right
90°
x/360 x (pi)r² or x/360 x A

30. Slope
360°
180°
y2-y1/x2-x1
360°

31. Volume of a cube
zero
Isosceles Trapezoid
Edge³
Do not have slopes!

32. Each diagonal divides a square into 2
(pi)r²
45 45 90 Right triangles (x - x - x*square root of 2)
360°
360°

33. Surface area of a cylinder
6e²
A=(side)² or A=½(diagonal)²
Edge³
2(pi)rh

34. Any Horizontal line slope
zero
P=2(l+w)
360°
2(pi)r

35. Area of a Trapezoid:
2(pi)r
2(pi)rh+2(pi)r²
A=½(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

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

37. Circumference of a circle
2(lw+lh+wh)
Do not have slopes!
2(pi)r
(n-2)x180/n

38. An Angle that'S 180°
Right
Straight Angle
360°
zero

39. Slope of any line that goes up from left to right
P=4s (s=side)
Positive
N-2
(n-2) x 180

40. For any given perimeter - the rectangle with the largest AREA is a
True
Square (versus a rectangle)
Circumference/diameter c/d
P=4s (s=side)

41. In any polygon - all external angles equal up to
Edge³
A=(base)(height)
360°
6e²

42. If you measure all exterior angles in a polygon - they all equal
360°
N-2
True
4/3(pi)r³

43. The Perimeter of a rectangle
2(pi)r
(pi)r²h
P=2(l+w)
Straight Angle

44. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
360/n
y2-y1/x2-x1
A=(base)(height)

45. Volume of a Sphere
4/3(pi)r³
Do not have slopes!
zero
(pi)r²h