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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 the angles in a quadrilateral is
(n-2) x 180
Square (versus a rectangle)
N-2
360°

2. 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
Square (versus a rectangle)
Negative
180
2(pi)rh

3. Surface area of a cylinder
2(pi)rh
P=4s (s=side)
Circumference/diameter c/d
180

4. Volume of a Sphere
4/3(pi)r³
x/360 x (pi)r² or x/360 x A
360/n
Edge³

5. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
Square (versus a rectangle)
180°
P=2(l+w)

6. Pi
Isosceles Trapezoid
Parallelogram
P=2(l+w)
Circumference/diameter c/d

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

8. Slope
N-2
(n-2)x180/n
y2-y1/x2-x1
(length)(width)(height)

9. The Perimeter of a Square
(pi)r²
2(lw+lh+wh)
A=½(base1+base2)(height)
P=4s (s=side)

10. In any polygon - all external angles equal up to
360°
y2-y1/x2-x1
Do not have slopes!
(n-2) x 180

11. Volume of a rectangular solid
(pi)r²
Straight Angle
(length)(width)(height)
P=4s (s=side)

12. If you measure all exterior angles in a polygon - they all equal
360°
D=Square root of (x2-x1)²+(y2-y1)²
(length)(width)(height)
zero

13. Formula for the surface area of a cube
P=2(l+w)
6e²
Edge³
Circumference/diameter c/d

14. Surface area of a rectangular solid
(length)(width)(height)
2(lw+lh+wh)
90°
180°

15. In a Rectangle - each angles measures
4/3(pi)r³
True
2(pi)r
90°

16. A quadrilateral where two diagonals bisect each other
6e²
D=Square root of (x2-x1)²+(y2-y1)²
Square (versus a rectangle)
Parallelogram

17. Any Horizontal line slope
2(lw+lh+wh)
zero
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!

18. Vertical lines
Positive
Do not have slopes!
Circumference/diameter c/d
Right

19. Volume of a cube
Circumference/diameter c/d
Edge³
360°
6e²

20. Formula for a diagonal
zero
L²+w²+h²=d²
x/360 x 2(pi)r or x/360 x C
y2-y1/x2-x1

21. If one of the angles formed by an intersection is right - they'Re all right
360°
2(pi)r
(pi)r²h
True

22. Area of a Trapezoid:
360°
(length)(width)(height)
x/360 x (pi)r² or x/360 x A
A=½(base1+base2)(height)

23. Circumference of a circle
2(lw+lh+wh)
Pi(diameter)
4/3(pi)r³
A=(base)(height)

24. In any Regular Polygon - the measure of each interior angle
Edge³
(n-2)x180/n
2(pi)rh
P=2(l+w)

25. The surface area of a cynlinder plus top and bottom
360/n
y2-y1/x2-x1
2(pi)rh+2(pi)r²
360°

26. Slope of any line that goes up from left to right
Positive
Parallelogram
x/360 x (pi)r² or x/360 x A
180

27. An Angle that'S 180°
(pi)r²
Straight Angle
Parallelogram
A=(side)² or A=½(diagonal)²

28. The sum of the measures of the n angles in a polygon with n sides
360°
2(lw+lh+wh)
(n-2) x 180
Straight Angle

29. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
360°
2(pi)r
L²+w²+h²=d²

30. Slope of any line that goes down as you move from left to right is
(length)(width)(height)
Negative
360°
Pi(diameter)

31. The area of a sector formed by an arc and 2 radii
180°
x/360 x (pi)r² or x/360 x A
4/3(pi)r³
L²+w²+h²=d²

32. For any given perimeter - the rectangle with the largest AREA is a
A=(base)(height)
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
2(pi)r

33. The sum of all angles around a point
2(pi)r
Straight Angle
x/360 x 2(pi)r or x/360 x C
360°

34. Circumference of a circle
zero
Straight Angle
A=(side)² or A=½(diagonal)²
2(pi)r

35. In a Regular Polygon - the measure of each exterior angle
360/n
2(pi)rh+2(pi)r²
D=Square root of (x2-x1)²+(y2-y1)²
Right

36. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
45 45 90 Right triangles (x - x - x*square root of 2)
A=(base)(height)
P=2(l+w)

37. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
360°
180
45 45 90 Right triangles (x - x - x*square root of 2)

38. In a rectangle - all angles are
2(pi)rh
(n-2)x180/n
Positive
Right

39. The consecutive angles in a parallelogram equal
Negative
A=½(base1+base2)(height)
zero
180°

40. Area of a Parallelogram:
180°
True
x/360 x (pi)r² or x/360 x A
A=(base)(height)

41. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
360°
Straight Angle
Negative

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

43. Volume of a Cylinder
A=(side)² or A=½(diagonal)²
360°
(pi)r²h
2(pi)rh+2(pi)r²

44. The Perimeter of a rectangle
360/n
A=(side)² or A=½(diagonal)²
P=4s (s=side)
P=2(l+w)

45. Area of a circle
4/3(pi)r³
90°
Isosceles Trapezoid
(pi)r²