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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. An Angle that'S 180°
A=(side)² or A=½(diagonal)²
Straight Angle
360°
Negative

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
360°
180
x/360 x (pi)r² or x/360 x A
4/3(pi)r³

3. In a Rectangle - each angles measures
90°
zero
Right
4/3(pi)r³

4. Slope of any line that goes up from left to right
Positive
Pi(diameter)
(n-2)x180/n
(length)(width)(height)

5. Any Horizontal line slope
zero
Do not have slopes!
360°
360°

6. For any given Area - the rectangle with the smallest perimeter is a
x/360 x (pi)r² or x/360 x A
2(pi)rh+2(pi)r²
360°
Square (versus a rectangle)

7. If you measure all exterior angles in a polygon - they all equal
zero
(pi)r²h
360°
Do not have slopes!

8. In any Regular Polygon - the measure of each interior angle
y2-y1/x2-x1
L²+w²+h²=d²
2(pi)rh
(n-2)x180/n

9. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
Edge³
360/n
Positive

10. 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
4/3(pi)r³
A=(side)² or A=½(diagonal)²

11. Pi
2(lw+lh+wh)
A=(side)² or A=½(diagonal)²
Square (versus a rectangle)
Circumference/diameter c/d

12. The surface area of a cynlinder plus top and bottom
360°
360/n
Parallelogram
2(pi)rh+2(pi)r²

13. Circumference of a circle
Straight Angle
Square (versus a rectangle)
2(lw+lh+wh)
Pi(diameter)

14. The Perimeter of a Square
2(lw+lh+wh)
y2-y1/x2-x1
360°
P=4s (s=side)

15. Area of a Trapezoid:
x/360 x 2(pi)r or x/360 x C
A=½(base1+base2)(height)
360°
Square (versus a rectangle)

16. Volume of a Cylinder
(pi)r²h
Edge³
180
2(pi)rh

17. Formula for the surface area of a cube
y2-y1/x2-x1
360°
6e²
Positive

18. In a Regular Polygon - the measure of each exterior angle
2(pi)rh+2(pi)r²
Negative
90°
360/n

19. Surface area of a rectangular solid
2(lw+lh+wh)
Isosceles Trapezoid
L²+w²+h²=d²
180°

20. In a rectangle - all angles are
360°
Parallelogram
Right
2(pi)rh

21. Area of a Parallelogram:
Straight Angle
A=(base)(height)
(pi)r²h
Do not have slopes!

22. Vertical lines
Do not have slopes!
Pi(diameter)
360°
Negative

23. Volume of a Sphere
Straight Angle
4/3(pi)r³
Positive
180°

24. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
4/3(pi)r³
N-2
(length)(width)(height)
P=2(l+w)

25. In any polygon - all external angles equal up to
90°
Isosceles Trapezoid
45 45 90 Right triangles (x - x - x*square root of 2)
360°

26. The sum of all angles around a point
6e²
P=2(l+w)
90°
360°

27. Each diagonal divides a square into 2
P=4s (s=side)
Square (versus a rectangle)
45 45 90 Right triangles (x - x - x*square root of 2)
Edge³

28. Area of a Rectangle:
180°
A=(base)(height)
A=(side)² or A=½(diagonal)²
x/360 x (pi)r² or x/360 x A

29. The consecutive angles in a parallelogram equal
Negative
L²+w²+h²=d²
180°
360/n

30. Volume of a cube
Pi(diameter)
Square (versus a rectangle)
Negative
Edge³

31. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
45 45 90 Right triangles (x - x - x*square root of 2)
Do not have slopes!
360°

32. Area of a circle
4/3(pi)r³
360°
(pi)r²h
(pi)r²

33. The area of a sector formed by an arc and 2 radii
D=Square root of (x2-x1)²+(y2-y1)²
x/360 x (pi)r² or x/360 x A
Parallelogram
180°

34. Formula for a diagonal
L²+w²+h²=d²
Isosceles Trapezoid
Parallelogram
True

35. Slope of any line that goes down as you move from left to right is
Negative
2(pi)rh
zero
Pi(diameter)

36. If an arc measures x - the length of the arc is
Straight Angle
360°
x/360 x 2(pi)r or x/360 x C
Right

37. Slope
Right
y2-y1/x2-x1
Square (versus a rectangle)
6e²

38. The Perimeter of a rectangle
(n-2)x180/n
360°
Negative
P=2(l+w)

39. A quadrilateral where two diagonals bisect each other
360°
Parallelogram
Straight Angle
6e²

40. The sum of the angles in a quadrilateral is
Do not have slopes!
y2-y1/x2-x1
90°
360°

41. Surface area of a cylinder
Isosceles Trapezoid
(length)(width)(height)
2(pi)rh
180

42. What kind of trapezoid has equal parallel sides?
90°
(n-2) x 180
Isosceles Trapezoid
y2-y1/x2-x1

43. Volume of a rectangular solid
2(lw+lh+wh)
(length)(width)(height)
A=(base)(height)
Square (versus a rectangle)

44. Circumference of a circle
Pi(diameter)
Positive
P=2(l+w)
2(pi)r

45. If one of the angles formed by an intersection is right - they'Re all right
4/3(pi)r³
True
(n-2) x 180
360°