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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. Surface area of a cylinder
Edge³
90°
2(pi)rh
(n-2)x180/n

2. Area of a Parallelogram:
A=(side)² or A=½(diagonal)²
N-2
A=(base)(height)
D=Square root of (x2-x1)²+(y2-y1)²

3. Volume of a Cylinder
180
x/360 x 2(pi)r or x/360 x C
(pi)r²h
Parallelogram

4. The surface area of a cynlinder plus top and bottom
Circumference/diameter c/d
2(pi)rh+2(pi)r²
P=2(l+w)
360°

5. Vertical lines
(n-2)x180/n
Do not have slopes!
x/360 x 2(pi)r or x/360 x C
Isosceles Trapezoid

6. The sum of the angles in a quadrilateral is
Right
2(pi)rh
360°
2(pi)rh+2(pi)r²

7. Any Horizontal line slope
360°
(pi)r²
zero
D=Square root of (x2-x1)²+(y2-y1)²

8. Volume of a rectangular solid
90°
zero
(length)(width)(height)
(pi)r²h

9. Slope of any line that goes down as you move from left to right is
Negative
Straight Angle
x/360 x (pi)r² or x/360 x A
(n-2) x 180

10. The sum of all angles around a point
Square (versus a rectangle)
360°
P=4s (s=side)
P=2(l+w)

11. An Angle that'S 180°
Straight Angle
360/n
Pi(diameter)
(length)(width)(height)

12. In any Regular Polygon - the measure of each interior angle
A=½(base1+base2)(height)
Positive
(n-2)x180/n
D=Square root of (x2-x1)²+(y2-y1)²

13. Formula for a diagonal
P=2(l+w)
360°
(n-2)x180/n
L²+w²+h²=d²

14. The Perimeter of a Square
P=4s (s=side)
A=(base)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
Right

15. In a Regular Polygon - the measure of each exterior angle
360/n
Positive
Pi(diameter)
A=½(base1+base2)(height)

16. 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
90°
360°
180
360°

17. In a Rectangle - each angles measures
90°
Straight Angle
4/3(pi)r³
A=(side)² or A=½(diagonal)²

18. Pi
A=½(base1+base2)(height)
Circumference/diameter c/d
True
N-2

19. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
L²+w²+h²=d²
360°
D=Square root of (x2-x1)²+(y2-y1)²

20. In any polygon - all external angles equal up to
180
360°
Circumference/diameter c/d
L²+w²+h²=d²

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

22. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
360°
180
(pi)r²

23. Distance Formula
Edge³
A=½(base1+base2)(height)
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²

24. If one of the angles formed by an intersection is right - they'Re all right
Positive
True
Straight Angle
360°

25. Slope
180
2(pi)r
(n-2) x 180
y2-y1/x2-x1

26. The Perimeter of a rectangle
Positive
P=2(l+w)
360°
4/3(pi)r³

27. If an arc measures x - the length of the arc is
6e²
(n-2) x 180
45 45 90 Right triangles (x - x - x*square root of 2)
x/360 x 2(pi)r or x/360 x C

28. Area of a Trapezoid:
(pi)r²
(length)(width)(height)
A=½(base1+base2)(height)
Do not have slopes!

29. Slope of any line that goes up from left to right
360°
P=2(l+w)
N-2
Positive

30. Circumference of a circle
2(pi)r
Do not have slopes!
Edge³
A=(base)(height)

31. For any given Area - the rectangle with the smallest perimeter is a
6e²
180°
Square (versus a rectangle)
45 45 90 Right triangles (x - x - x*square root of 2)

32. Area of a circle
Positive
(pi)r²
x/360 x 2(pi)r or x/360 x C
A=(side)² or A=½(diagonal)²

33. If you measure all exterior angles in a polygon - they all equal
Parallelogram
2(pi)r
360°
D=Square root of (x2-x1)²+(y2-y1)²

34. For any given perimeter - the rectangle with the largest AREA is a
Edge³
90°
360°
Square (versus a rectangle)

35. What kind of trapezoid has equal parallel sides?
P=2(l+w)
y2-y1/x2-x1
A=(side)² or A=½(diagonal)²
Isosceles Trapezoid

36. Circumference of a circle
A=½(base1+base2)(height)
Pi(diameter)
2(pi)rh+2(pi)r²
(n-2) x 180

37. Volume of a cube
2(lw+lh+wh)
180°
Edge³
360/n

38. The area of a sector formed by an arc and 2 radii
A=(base)(height)
x/360 x 2(pi)r or x/360 x C
Parallelogram
x/360 x (pi)r² or x/360 x A

39. The consecutive angles in a parallelogram equal
Parallelogram
180°
(length)(width)(height)
2(pi)rh

40. In a rectangle - all angles are
A=½(base1+base2)(height)
Right
Negative
Straight Angle

41. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
2(pi)rh
Parallelogram
2(lw+lh+wh)

42. Volume of a Sphere
Right
180
(pi)r²
4/3(pi)r³

43. A quadrilateral where two diagonals bisect each other
(n-2) x 180
Parallelogram
(pi)r²h
A=(side)² or A=½(diagonal)²

44. Formula for the surface area of a cube
Parallelogram
x/360 x 2(pi)r or x/360 x C
6e²
Square (versus a rectangle)

45. Surface area of a rectangular solid
A=½(base1+base2)(height)
360°
Straight Angle
2(lw+lh+wh)