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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 surface area of a cynlinder plus top and bottom
Right
6e²
2(pi)rh+2(pi)r²
Positive

2. The consecutive angles in a parallelogram equal
(n-2)x180/n
Parallelogram
180°
zero

3. Formula for a diagonal
2(pi)rh+2(pi)r²
Circumference/diameter c/d
L²+w²+h²=d²
2(lw+lh+wh)

4. Surface area of a cylinder
2(pi)rh
Pi(diameter)
360°
Parallelogram

5. The area of a sector formed by an arc and 2 radii
Isosceles Trapezoid
D=Square root of (x2-x1)²+(y2-y1)²
90°
x/360 x (pi)r² or x/360 x A

6. The Perimeter of a rectangle
P=2(l+w)
N-2
2(pi)rh
zero

7. In any polygon - all external angles equal up to
360°
4/3(pi)r³
45 45 90 Right triangles (x - x - x*square root of 2)
Edge³

8. Distance Formula
(pi)r²h
A=(base)(height)
D=Square root of (x2-x1)²+(y2-y1)²
Circumference/diameter c/d

9. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)rh
Isosceles Trapezoid
90°

10. In a Rectangle - each angles measures
2(pi)r
P=4s (s=side)
Positive
90°

11. Circumference of a circle
Square (versus a rectangle)
Pi(diameter)
90°
Straight Angle

12. Slope of any line that goes up from left to right
A=½(base1+base2)(height)
360°
6e²
Positive

13. Pi
90°
Circumference/diameter c/d
A=(side)² or A=½(diagonal)²
Square (versus a rectangle)

14. Slope of any line that goes down as you move from left to right is
Negative
Straight Angle
Square (versus a rectangle)
360°

15. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
4/3(pi)r³
(pi)r²h
P=4s (s=side)

16. Area of a Parallelogram:
Straight Angle
A=(base)(height)
Square (versus a rectangle)
Right

17. If you measure all exterior angles in a polygon - they all equal
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)rh
A=½(base1+base2)(height)
360°

18. In a Regular Polygon - the measure of each exterior angle
x/360 x 2(pi)r or x/360 x C
360/n
Square (versus a rectangle)
(length)(width)(height)

19. The sum of the angles in a quadrilateral is
(length)(width)(height)
360°
180°
Isosceles Trapezoid

20. For any given perimeter - the rectangle with the largest AREA is a
Square (versus a rectangle)
Pi(diameter)
180
(n-2)x180/n

21. Volume of a Cylinder
180
(pi)r²h
zero
A=(side)² or A=½(diagonal)²

22. Volume of a cube
360°
D=Square root of (x2-x1)²+(y2-y1)²
Isosceles Trapezoid
Edge³

23. Circumference of a circle
zero
Square (versus a rectangle)
2(pi)r
Pi(diameter)

24. Area of a Rectangle:
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
2(lw+lh+wh)
360/n

25. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
x/360 x (pi)r² or x/360 x A
True
Negative
N-2

26. In a rectangle - all angles are
45 45 90 Right triangles (x - x - x*square root of 2)
Right
(pi)r²
zero

27. Surface area of a rectangular solid
4/3(pi)r³
Right
Straight Angle
2(lw+lh+wh)

28. Volume of a rectangular solid
Right
(length)(width)(height)
2(pi)r
x/360 x (pi)r² or x/360 x A

29. A quadrilateral where two diagonals bisect each other
Parallelogram
(n-2)x180/n
360°
360/n

30. Any Horizontal line slope
(pi)r²
2(pi)rh+2(pi)r²
Square (versus a rectangle)
zero

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

32. In any Regular Polygon - the measure of each interior angle
2(pi)r
(n-2)x180/n
zero
P=4s (s=side)

33. The Perimeter of a Square
D=Square root of (x2-x1)²+(y2-y1)²
4/3(pi)r³
P=4s (s=side)
Isosceles Trapezoid

34. Volume of a Sphere
45 45 90 Right triangles (x - x - x*square root of 2)
4/3(pi)r³
x/360 x (pi)r² or x/360 x A
(n-2)x180/n

35. 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)
180
360°
45 45 90 Right triangles (x - x - x*square root of 2)

36. The sum of the measures of the n angles in a polygon with n sides
Square (versus a rectangle)
4/3(pi)r³
360°
(n-2) x 180

37. Vertical lines
360°
Do not have slopes!
Positive
2(lw+lh+wh)

38. Formula for the surface area of a cube
x/360 x 2(pi)r or x/360 x C
Parallelogram
6e²
N-2

39. Area of a Trapezoid:
A=½(base1+base2)(height)
Square (versus a rectangle)
4/3(pi)r³
Do not have slopes!

40. Slope
y2-y1/x2-x1
Straight Angle
180°
N-2

41. For any given Area - the rectangle with the smallest perimeter is a
2(pi)rh+2(pi)r²
360/n
2(pi)rh
Square (versus a rectangle)

42. Area of a circle
A=(side)² or A=½(diagonal)²
(n-2)x180/n
(pi)r²
180

43. An Angle that'S 180°
True
P=2(l+w)
Straight Angle
180

44. If one of the angles formed by an intersection is right - they'Re all right
True
2(pi)r
D=Square root of (x2-x1)²+(y2-y1)²
Parallelogram

45. The sum of all angles around a point
360°
x/360 x 2(pi)r or x/360 x C
2(pi)rh
45 45 90 Right triangles (x - x - x*square root of 2)