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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. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
360°
2(lw+lh+wh)
P=4s (s=side)

2. In a Rectangle - each angles measures
90°
360/n
x/360 x (pi)r² or x/360 x A
Square (versus a rectangle)

3. Volume of a Cylinder
360°
Do not have slopes!
(pi)r²h
Right

4. The sum of the measures of the n angles in a polygon with n sides
360°
2(pi)rh+2(pi)r²
(pi)r²
(n-2) x 180

5. Circumference of a circle
zero
Square (versus a rectangle)
Right
Pi(diameter)

6. Surface area of a rectangular solid
Straight Angle
Do not have slopes!
2(lw+lh+wh)
180

7. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
x/360 x (pi)r² or x/360 x A
Isosceles Trapezoid
y2-y1/x2-x1

8. In any polygon - all external angles equal up to
360/n
2(pi)rh+2(pi)r²
360°
y2-y1/x2-x1

9. The area of a sector formed by an arc and 2 radii
Square (versus a rectangle)
x/360 x (pi)r² or x/360 x A
Negative
D=Square root of (x2-x1)²+(y2-y1)²

10. The sum of all angles around a point
Pi(diameter)
y2-y1/x2-x1
Do not have slopes!
360°

11. Formula for a diagonal
2(lw+lh+wh)
(n-2)x180/n
N-2
L²+w²+h²=d²

12. 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
4/3(pi)r³
Circumference/diameter c/d
2(lw+lh+wh)

13. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
A=½(base1+base2)(height)
N-2
(pi)r²h
Right

14. Surface area of a cylinder
A=(side)² or A=½(diagonal)²
2(pi)rh
A=(base)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

15. Area of a Trapezoid:
4/3(pi)r³
(n-2)x180/n
A=(base)(height)
A=½(base1+base2)(height)

16. Slope of any line that goes down as you move from left to right is
A=(base)(height)
Negative
L²+w²+h²=d²
Do not have slopes!

17. Slope of any line that goes up from left to right
Straight Angle
Circumference/diameter c/d
Positive
N-2

18. If an arc measures x - the length of the arc is
Positive
Circumference/diameter c/d
x/360 x 2(pi)r or x/360 x C
N-2

19. The Perimeter of a Square
(n-2) x 180
Right
360°
P=4s (s=side)

20. Volume of a rectangular solid
2(pi)r
Straight Angle
Isosceles Trapezoid
(length)(width)(height)

21. The consecutive angles in a parallelogram equal
y2-y1/x2-x1
360/n
180°
D=Square root of (x2-x1)²+(y2-y1)²

22. Formula for the surface area of a cube
6e²
zero
Do not have slopes!
Straight Angle

23. For any given Area - the rectangle with the smallest perimeter is a
(n-2) x 180
2(pi)rh
Edge³
Square (versus a rectangle)

24. In a Regular Polygon - the measure of each exterior angle
360/n
(pi)r²
45 45 90 Right triangles (x - x - x*square root of 2)
Square (versus a rectangle)

25. An Angle that'S 180°
(n-2)x180/n
P=2(l+w)
Straight Angle
360°

26. If one of the angles formed by an intersection is right - they'Re all right
360°
360°
Square (versus a rectangle)
True

27. Area of a circle
x/360 x (pi)r² or x/360 x A
(pi)r²
Do not have slopes!
zero

28. In a rectangle - all angles are
Circumference/diameter c/d
Right
180°
2(pi)rh+2(pi)r²

29. Volume of a cube
Right
True
Edge³
P=4s (s=side)

30. If you measure all exterior angles in a polygon - they all equal
Circumference/diameter c/d
6e²
360°
2(pi)rh+2(pi)r²

31. Vertical lines
Do not have slopes!
2(pi)rh
N-2
45 45 90 Right triangles (x - x - x*square root of 2)

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

33. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
True
L²+w²+h²=d²
(length)(width)(height)

34. Pi
Isosceles Trapezoid
y2-y1/x2-x1
180°
Circumference/diameter c/d

35. Slope
(pi)r²
Isosceles Trapezoid
y2-y1/x2-x1
Circumference/diameter c/d

36. Area of a Parallelogram:
360°
360°
360/n
A=(base)(height)

37. A quadrilateral where two diagonals bisect each other
Circumference/diameter c/d
180°
Parallelogram
N-2

38. The Perimeter of a rectangle
360°
2(pi)rh
A=½(base1+base2)(height)
P=2(l+w)

39. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
(n-2) x 180
Do not have slopes!
True

40. Any Horizontal line slope
A=(base)(height)
zero
(n-2)x180/n
2(pi)r

41. Volume of a Sphere
4/3(pi)r³
A=(side)² or A=½(diagonal)²
2(pi)rh
2(pi)r

42. The sum of the angles in a quadrilateral is
(n-2)x180/n
360°
360/n
(n-2) x 180

43. The surface area of a cynlinder plus top and bottom
360°
A=½(base1+base2)(height)
2(pi)rh+2(pi)r²
x/360 x 2(pi)r or x/360 x C

44. What kind of trapezoid has equal parallel sides?
360°
2(pi)rh+2(pi)r²
Isosceles Trapezoid
(n-2) x 180

45. Circumference of a circle
x/360 x 2(pi)r or x/360 x C
Do not have slopes!
2(pi)r
(pi)r²