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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. In any polygon - all external angles equal up to
360°
Straight Angle
True
180

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
(n-2) x 180
True
180
x/360 x (pi)r² or x/360 x A

3. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
Straight Angle
(length)(width)(height)
(n-2)x180/n

4. Area of a Trapezoid:
D=Square root of (x2-x1)²+(y2-y1)²
Square (versus a rectangle)
360°
A=½(base1+base2)(height)

5. For any given perimeter - the rectangle with the largest AREA is a
6e²
Do not have slopes!
Square (versus a rectangle)
A=(base)(height)

6. If one of the angles formed by an intersection is right - they'Re all right
Circumference/diameter c/d
zero
True
Isosceles Trapezoid

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

8. The sum of the angles in a quadrilateral is
Pi(diameter)
2(lw+lh+wh)
360°
90°

9. For any given Area - the rectangle with the smallest perimeter is a
Square (versus a rectangle)
A=(base)(height)
360°
(n-2)x180/n

10. The Perimeter of a Square
P=4s (s=side)
(n-2)x180/n
Parallelogram
360°

11. Slope of any line that goes up from left to right
Positive
360°
360°
P=2(l+w)

12. If an arc measures x - the length of the arc is
Negative
45 45 90 Right triangles (x - x - x*square root of 2)
x/360 x 2(pi)r or x/360 x C
x/360 x (pi)r² or x/360 x A

13. Vertical lines
Parallelogram
Isosceles Trapezoid
Do not have slopes!
360°

14. Formula for the surface area of a cube
360/n
A=(side)² or A=½(diagonal)²
6e²
Positive

15. A quadrilateral where two diagonals bisect each other
(n-2)x180/n
Parallelogram
(n-2) x 180
y2-y1/x2-x1

16. An Angle that'S 180°
x/360 x (pi)r² or x/360 x A
Isosceles Trapezoid
True
Straight Angle

17. Each diagonal divides a square into 2
Isosceles Trapezoid
N-2
45 45 90 Right triangles (x - x - x*square root of 2)
360/n

18. The Perimeter of a rectangle
Negative
Do not have slopes!
(n-2) x 180
P=2(l+w)

19. The sum of all angles around a point
2(pi)r
360°
P=2(l+w)
2(pi)rh+2(pi)r²

20. Area of a circle
Straight Angle
(pi)r²
P=4s (s=side)
180

21. Slope
True
y2-y1/x2-x1
2(lw+lh+wh)
P=2(l+w)

22. Slope of any line that goes down as you move from left to right is
90°
y2-y1/x2-x1
(pi)r²h
Negative

23. Surface area of a cylinder
P=2(l+w)
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)rh
Straight Angle

24. Volume of a Cylinder
(pi)r²h
360°
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)

25. Surface area of a rectangular solid
Do not have slopes!
360°
2(lw+lh+wh)
Parallelogram

26. Volume of a rectangular solid
P=4s (s=side)
(length)(width)(height)
180°
4/3(pi)r³

27. Any Horizontal line slope
360°
D=Square root of (x2-x1)²+(y2-y1)²
zero
2(lw+lh+wh)

28. In a Rectangle - each angles measures
360°
2(pi)rh
90°
(n-2)x180/n

29. The sum of the measures of the n angles in a polygon with n sides
A=(side)² or A=½(diagonal)²
(n-2) x 180
Square (versus a rectangle)
360°

30. Area of a Rectangle:
x/360 x 2(pi)r or x/360 x C
Isosceles Trapezoid
A=(side)² or A=½(diagonal)²
P=2(l+w)

31. In a Regular Polygon - the measure of each exterior angle
Parallelogram
Isosceles Trapezoid
x/360 x (pi)r² or x/360 x A
360/n

32. Formula for a diagonal
(n-2) x 180
6e²
D=Square root of (x2-x1)²+(y2-y1)²
L²+w²+h²=d²

33. Circumference of a circle
Pi(diameter)
D=Square root of (x2-x1)²+(y2-y1)²
Parallelogram
Isosceles Trapezoid

34. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
180
N-2
360°
Square (versus a rectangle)

35. Distance Formula
zero
2(lw+lh+wh)
D=Square root of (x2-x1)²+(y2-y1)²
P=2(l+w)

36. Area of a Parallelogram:
A=(base)(height)
(n-2)x180/n
Parallelogram
360°

37. Volume of a cube
360°
Edge³
y2-y1/x2-x1
Square (versus a rectangle)

38. What kind of trapezoid has equal parallel sides?
360/n
(n-2)x180/n
Isosceles Trapezoid
True

39. Volume of a Sphere
True
A=(base)(height)
4/3(pi)r³
2(pi)r

40. The consecutive angles in a parallelogram equal
90°
zero
Pi(diameter)
180°

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

42. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
180°
45 45 90 Right triangles (x - x - x*square root of 2)
Isosceles Trapezoid

43. Circumference of a circle
360°
4/3(pi)r³
2(pi)r
Negative

44. Pi
Circumference/diameter c/d
360/n
2(pi)r
Straight Angle

45. If you measure all exterior angles in a polygon - they all equal
360°
180
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)rh+2(pi)r²