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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. Volume of a rectangular solid
90°
Square (versus a rectangle)
(length)(width)(height)
Parallelogram

2. A quadrilateral where two diagonals bisect each other
True
180
45 45 90 Right triangles (x - x - x*square root of 2)
Parallelogram

3. Circumference of a circle
Pi(diameter)
A=(side)² or A=½(diagonal)²
P=2(l+w)
Square (versus a rectangle)

4. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
2(lw+lh+wh)
A=½(base1+base2)(height)
y2-y1/x2-x1

5. Area of a Parallelogram:
P=4s (s=side)
A=(base)(height)
A=(side)² or A=½(diagonal)²
True

6. Surface area of a cylinder
2(pi)rh
x/360 x 2(pi)r or x/360 x C
Negative
2(pi)r

7. The consecutive angles in a parallelogram equal
Square (versus a rectangle)
180°
x/360 x 2(pi)r or x/360 x C
P=2(l+w)

8. In any Regular Polygon - the measure of each interior angle
Negative
(n-2)x180/n
A=(side)² or A=½(diagonal)²
True

9. The sum of all angles around a point
360°
180°
Negative
Square (versus a rectangle)

10. The Perimeter of a rectangle
(n-2)x180/n
Circumference/diameter c/d
P=2(l+w)
D=Square root of (x2-x1)²+(y2-y1)²

11. Volume of a Sphere
6e²
4/3(pi)r³
Square (versus a rectangle)
2(pi)r

12. Pi
y2-y1/x2-x1
A=½(base1+base2)(height)
Circumference/diameter c/d
Pi(diameter)

13. What kind of trapezoid has equal parallel sides?
2(pi)rh
Isosceles Trapezoid
(n-2)x180/n
D=Square root of (x2-x1)²+(y2-y1)²

14. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
Edge³
Square (versus a rectangle)
90°

15. Slope
2(lw+lh+wh)
Negative
y2-y1/x2-x1
45 45 90 Right triangles (x - x - x*square root of 2)

16. If an arc measures x - the length of the arc is
360°
x/360 x 2(pi)r or x/360 x C
A=(side)² or A=½(diagonal)²
2(pi)rh

17. Area of a Trapezoid:
Edge³
360°
A=½(base1+base2)(height)
Circumference/diameter c/d

18. Volume of a Cylinder
2(pi)r
(pi)r²h
P=2(l+w)
Circumference/diameter c/d

19. In a Rectangle - each angles measures
90°
P=4s (s=side)
zero
L²+w²+h²=d²

20. The Perimeter of a Square
(n-2) x 180
(pi)r²h
45 45 90 Right triangles (x - x - x*square root of 2)
P=4s (s=side)

21. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
6e²
2(pi)r
Circumference/diameter c/d

22. 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
180
Isosceles Trapezoid
P=4s (s=side)

23. The surface area of a cynlinder plus top and bottom
Pi(diameter)
2(pi)rh+2(pi)r²
2(pi)r
Edge³

24. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
P=2(l+w)
360°
A=(base)(height)
N-2

25. An Angle that'S 180°
x/360 x 2(pi)r or x/360 x C
Straight Angle
2(pi)r
Isosceles Trapezoid

26. Any Horizontal line slope
zero
P=4s (s=side)
360°
Positive

27. Formula for a diagonal
Isosceles Trapezoid
L²+w²+h²=d²
(n-2) x 180
zero

28. In a Regular Polygon - the measure of each exterior angle
Square (versus a rectangle)
(pi)r²
x/360 x (pi)r² or x/360 x A
360/n

29. Circumference of a circle
360°
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)r
Do not have slopes!

30. In any polygon - all external angles equal up to
y2-y1/x2-x1
P=2(l+w)
360°
x/360 x 2(pi)r or x/360 x C

31. Area of a circle
90°
True
D=Square root of (x2-x1)²+(y2-y1)²
(pi)r²

32. If one of the angles formed by an intersection is right - they'Re all right
90°
True
x/360 x (pi)r² or x/360 x A
180°

33. The sum of the angles in a quadrilateral is
True
360°
N-2
Pi(diameter)

34. Vertical lines
Negative
Do not have slopes!
A=(base)(height)
360/n

35. Slope of any line that goes up from left to right
Straight Angle
Parallelogram
180
Positive

36. For any given Area - the rectangle with the smallest perimeter is a
(n-2) x 180
True
Isosceles Trapezoid
Square (versus a rectangle)

37. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
x/360 x (pi)r² or x/360 x A
Parallelogram
(n-2)x180/n

38. Volume of a cube
360°
P=4s (s=side)
A=½(base1+base2)(height)
Edge³

39. If you measure all exterior angles in a polygon - they all equal
2(pi)rh+2(pi)r²
Pi(diameter)
6e²
360°

40. Formula for the surface area of a cube
Do not have slopes!
Negative
6e²
90°

41. Surface area of a rectangular solid
2(pi)rh+2(pi)r²
A=½(base1+base2)(height)
2(lw+lh+wh)
Isosceles Trapezoid

42. The area of a sector formed by an arc and 2 radii
2(pi)rh
x/360 x (pi)r² or x/360 x A
Pi(diameter)
zero

43. Slope of any line that goes down as you move from left to right is
A=(base)(height)
Circumference/diameter c/d
360°
Negative

44. In a rectangle - all angles are
Right
2(pi)r
(length)(width)(height)
Circumference/diameter c/d

45. Distance Formula
Square (versus a rectangle)
4/3(pi)r³
45 45 90 Right triangles (x - x - x*square root of 2)
D=Square root of (x2-x1)²+(y2-y1)²