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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. What kind of trapezoid has equal parallel sides?
Pi(diameter)
Isosceles Trapezoid
P=2(l+w)
45 45 90 Right triangles (x - x - x*square root of 2)

2. Circumference of a circle
2(pi)r
45 45 90 Right triangles (x - x - x*square root of 2)
N-2
2(pi)rh

3. Area of a circle
(pi)r²
45 45 90 Right triangles (x - x - x*square root of 2)
6e²
180

4. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
360°
P=2(l+w)
90°

5. For any given Area - the rectangle with the smallest perimeter is a
Isosceles Trapezoid
x/360 x 2(pi)r or x/360 x C
Square (versus a rectangle)
Circumference/diameter c/d

6. Surface area of a rectangular solid
2(lw+lh+wh)
Positive
Negative
A=½(base1+base2)(height)

7. If one of the angles formed by an intersection is right - they'Re all right
2(pi)rh
True
Right
2(pi)r

8. In any Regular Polygon - the measure of each interior angle
2(pi)rh+2(pi)r²
x/360 x 2(pi)r or x/360 x C
(n-2)x180/n
(pi)r²h

9. Area of a Trapezoid:
Square (versus a rectangle)
A=½(base1+base2)(height)
Straight Angle
zero

10. The sum of the measures of the n angles in a polygon with n sides
(n-2)x180/n
Pi(diameter)
(n-2) x 180
360°

11. In a Rectangle - each angles measures
x/360 x 2(pi)r or x/360 x C
360°
y2-y1/x2-x1
90°

12. Slope of any line that goes down as you move from left to right is
A=½(base1+base2)(height)
Negative
90°
360/n

13. In a Regular Polygon - the measure of each exterior angle
Isosceles Trapezoid
A=(side)² or A=½(diagonal)²
360/n
2(pi)rh

14. Formula for a diagonal
L²+w²+h²=d²
2(lw+lh+wh)
(pi)r²h
True

15. Volume of a Cylinder
Isosceles Trapezoid
(pi)r²h
Square (versus a rectangle)
Edge³

16. Vertical lines
Pi(diameter)
Do not have slopes!
Parallelogram
4/3(pi)r³

17. The Perimeter of a rectangle
P=2(l+w)
True
Positive
180

18. Formula for the surface area of a cube
2(pi)rh+2(pi)r²
6e²
2(lw+lh+wh)
45 45 90 Right triangles (x - x - x*square root of 2)

19. The sum of all angles around a point
180°
(length)(width)(height)
Negative
360°

20. Any Horizontal line slope
zero
(length)(width)(height)
(pi)r²h
180

21. Pi
Circumference/diameter c/d
(n-2)x180/n
(n-2) x 180
(length)(width)(height)

22. Area of a Rectangle:
x/360 x (pi)r² or x/360 x A
360°
Straight Angle
A=(side)² or A=½(diagonal)²

23. Volume of a Sphere
y2-y1/x2-x1
(pi)r²
Right
4/3(pi)r³

24. Volume of a cube
N-2
Isosceles Trapezoid
Edge³
2(pi)rh

25. If you measure all exterior angles in a polygon - they all equal
zero
180°
P=2(l+w)
360°

26. Each diagonal divides a square into 2
Pi(diameter)
360°
45 45 90 Right triangles (x - x - x*square root of 2)
Right

27. An Angle that'S 180°
Straight Angle
45 45 90 Right triangles (x - x - x*square root of 2)
2(lw+lh+wh)
4/3(pi)r³

28. In a rectangle - all angles are
Pi(diameter)
Right
P=2(l+w)
(length)(width)(height)

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

30. The area of a sector formed by an arc and 2 radii
D=Square root of (x2-x1)²+(y2-y1)²
2(pi)rh
x/360 x (pi)r² or x/360 x A
A=(side)² or A=½(diagonal)²

31. Circumference of a circle
Pi(diameter)
2(pi)r
Positive
(pi)r²h

32. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
A=(side)² or A=½(diagonal)²
Positive
Negative

33. Slope
Pi(diameter)
y2-y1/x2-x1
Square (versus a rectangle)
360°

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

35. Surface area of a cylinder
180
2(pi)rh+2(pi)r²
2(pi)rh
Right

36. Volume of a rectangular solid
2(pi)rh+2(pi)r²
Pi(diameter)
180
(length)(width)(height)

37. 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
A=½(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
2(lw+lh+wh)

38. The surface area of a cynlinder plus top and bottom
2(pi)rh+2(pi)r²
2(pi)rh
90°
P=2(l+w)

39. The Perimeter of a Square
P=4s (s=side)
180
(pi)r²h
2(pi)r

40. The sum of the angles in a quadrilateral is
2(pi)rh
Positive
180
360°

41. In any polygon - all external angles equal up to
P=2(l+w)
N-2
360°
(pi)r²h

42. Slope of any line that goes up from left to right
Positive
360°
Circumference/diameter c/d
True

43. A quadrilateral where two diagonals bisect each other
Parallelogram
True
(pi)r²
360°

44. The consecutive angles in a parallelogram equal
P=2(l+w)
180°
Pi(diameter)
(pi)r²h

45. Area of a Parallelogram:
(n-2) x 180
6e²
(length)(width)(height)
A=(base)(height)