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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
2(pi)rh
Right
180°
6e²

2. Volume of a Cylinder
2(pi)rh+2(pi)r²
(n-2)x180/n
(pi)r²h
Isosceles Trapezoid

3. Circumference of a circle
(pi)r²h
180
2(pi)r
D=Square root of (x2-x1)²+(y2-y1)²

4. Formula for the surface area of a cube
Do not have slopes!
A=½(base1+base2)(height)
6e²
y2-y1/x2-x1

5. 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
(n-2) x 180
180
Positive
Do not have slopes!

6. Slope of any line that goes up from left to right
Positive
P=4s (s=side)
360°
P=2(l+w)

7. Surface area of a rectangular solid
(pi)r²
2(lw+lh+wh)
zero
A=½(base1+base2)(height)

8. Slope of any line that goes down as you move from left to right is
Square (versus a rectangle)
P=2(l+w)
(length)(width)(height)
Negative

9. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
180
N-2
2(lw+lh+wh)
Do not have slopes!

10. For any given perimeter - the rectangle with the largest AREA is a
P=4s (s=side)
2(lw+lh+wh)
90°
Square (versus a rectangle)

11. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
2(pi)r
Pi(diameter)
Edge³

12. Volume of a cube
Square (versus a rectangle)
L²+w²+h²=d²
(n-2) x 180
Edge³

13. In any Regular Polygon - the measure of each interior angle
360°
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)
(n-2)x180/n

14. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
360°
A=½(base1+base2)(height)
Parallelogram

15. Area of a Trapezoid:
Circumference/diameter c/d
A=½(base1+base2)(height)
360°
Do not have slopes!

16. In a Regular Polygon - the measure of each exterior angle
x/360 x 2(pi)r or x/360 x C
Circumference/diameter c/d
A=(base)(height)
360/n

17. Vertical lines
Straight Angle
Do not have slopes!
A=(base)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

18. Volume of a rectangular solid
360/n
(length)(width)(height)
Edge³
45 45 90 Right triangles (x - x - x*square root of 2)

19. In any polygon - all external angles equal up to
D=Square root of (x2-x1)²+(y2-y1)²
360°
6e²
L²+w²+h²=d²

20. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
(n-2) x 180
Pi(diameter)
(length)(width)(height)

21. The sum of the measures of the n angles in a polygon with n sides
A=(side)² or A=½(diagonal)²
L²+w²+h²=d²
Positive
(n-2) x 180

22. The Perimeter of a Square
Right
x/360 x 2(pi)r or x/360 x C
2(pi)r
P=4s (s=side)

23. An Angle that'S 180°
Edge³
(pi)r²
2(pi)r
Straight Angle

24. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!
2(lw+lh+wh)
(pi)r²h

25. Pi
Straight Angle
Circumference/diameter c/d
zero
(n-2)x180/n

26. If an arc measures x - the length of the arc is
L²+w²+h²=d²
2(lw+lh+wh)
x/360 x 2(pi)r or x/360 x C
(n-2) x 180

27. If you measure all exterior angles in a polygon - they all equal
Parallelogram
45 45 90 Right triangles (x - x - x*square root of 2)
360°
2(pi)rh+2(pi)r²

28. Slope
y2-y1/x2-x1
360°
Positive
Do not have slopes!

29. The consecutive angles in a parallelogram equal
A=(side)² or A=½(diagonal)²
45 45 90 Right triangles (x - x - x*square root of 2)
180°
Do not have slopes!

30. Area of a Rectangle:
180°
True
180
A=(side)² or A=½(diagonal)²

31. Circumference of a circle
180
(length)(width)(height)
Square (versus a rectangle)
Pi(diameter)

32. Distance Formula
2(pi)rh
2(lw+lh+wh)
D=Square root of (x2-x1)²+(y2-y1)²
180°

33. A quadrilateral where two diagonals bisect each other
2(pi)r
4/3(pi)r³
Parallelogram
2(pi)rh

34. In a Rectangle - each angles measures
90°
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²
y2-y1/x2-x1

35. Formula for a diagonal
360°
A=½(base1+base2)(height)
L²+w²+h²=d²
P=2(l+w)

36. Any Horizontal line slope
N-2
360°
zero
A=(base)(height)

37. Area of a Parallelogram:
A=(base)(height)
(pi)r²h
Pi(diameter)
2(lw+lh+wh)

38. In a rectangle - all angles are
Right
Circumference/diameter c/d
2(lw+lh+wh)
360°

39. The surface area of a cynlinder plus top and bottom
Square (versus a rectangle)
2(pi)rh+2(pi)r²
P=4s (s=side)
Square (versus a rectangle)

40. The Perimeter of a rectangle
2(pi)rh
Square (versus a rectangle)
P=2(l+w)
Pi(diameter)

41. The sum of the angles in a quadrilateral is
360°
Square (versus a rectangle)
Isosceles Trapezoid
y2-y1/x2-x1

42. The sum of all angles around a point
P=4s (s=side)
360°
L²+w²+h²=d²
x/360 x (pi)r² or x/360 x A

43. If one of the angles formed by an intersection is right - they'Re all right
2(pi)rh
True
2(lw+lh+wh)
(length)(width)(height)

44. Volume of a Sphere
(pi)r²h
Right
4/3(pi)r³
True

45. Area of a circle
(pi)r²
Circumference/diameter c/d
Negative
(n-2)x180/n