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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. Each diagonal divides a square into 2
A=½(base1+base2)(height)
45 45 90 Right triangles (x - x - x*square root of 2)
zero
Negative

2. Formula for the surface area of a cube
x/360 x (pi)r² or x/360 x A
45 45 90 Right triangles (x - x - x*square root of 2)
6e²
2(lw+lh+wh)

3. What kind of trapezoid has equal parallel sides?
Square (versus a rectangle)
Positive
Isosceles Trapezoid
Right

4. The Perimeter of a Square
y2-y1/x2-x1
P=4s (s=side)
A=½(base1+base2)(height)
180

5. In any polygon - all external angles equal up to
360°
180
Parallelogram
A=½(base1+base2)(height)

6. The sum of all angles around a point
180°
Do not have slopes!
N-2
360°

7. Any Horizontal line slope
N-2
Pi(diameter)
x/360 x (pi)r² or x/360 x A
zero

8. Volume of a rectangular solid
(pi)r²
360°
y2-y1/x2-x1
(length)(width)(height)

9. The surface area of a cynlinder plus top and bottom
180
2(pi)rh+2(pi)r²
x/360 x (pi)r² or x/360 x A
Pi(diameter)

10. Surface area of a rectangular solid
2(lw+lh+wh)
360°
Square (versus a rectangle)
P=4s (s=side)

11. In a rectangle - all angles are
Right
Straight Angle
2(pi)rh+2(pi)r²
Edge³

12. The Perimeter of a rectangle
4/3(pi)r³
P=2(l+w)
Square (versus a rectangle)
y2-y1/x2-x1

13. Area of a Trapezoid:
L²+w²+h²=d²
x/360 x (pi)r² or x/360 x A
A=½(base1+base2)(height)
(pi)r²h

14. Surface area of a cylinder
360°
360°
2(pi)rh
180°

15. An Angle that'S 180°
4/3(pi)r³
P=4s (s=side)
Straight Angle
Square (versus a rectangle)

16. Area of a circle
360°
A=(side)² or A=½(diagonal)²
(pi)r²
Negative

17. If you measure all exterior angles in a polygon - they all equal
Straight Angle
Negative
L²+w²+h²=d²
360°

18. In a Rectangle - each angles measures
2(pi)r
True
A=(base)(height)
90°

19. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
N-2
360°
360°
2(pi)r

20. In any Regular Polygon - the measure of each interior angle
(n-2)x180/n
x/360 x (pi)r² or x/360 x A
Square (versus a rectangle)
6e²

21. Volume of a cube
Positive
45 45 90 Right triangles (x - x - x*square root of 2)
360°
Edge³

22. Pi
Do not have slopes!
x/360 x (pi)r² or x/360 x A
Circumference/diameter c/d
True

23. Slope of any line that goes up from left to right
6e²
Positive
(length)(width)(height)
45 45 90 Right triangles (x - x - x*square root of 2)

24. Slope of any line that goes down as you move from left to right is
360°
360/n
Negative
x/360 x 2(pi)r or x/360 x C

25. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
x/360 x 2(pi)r or x/360 x C
P=2(l+w)
y2-y1/x2-x1

26. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
4/3(pi)r³
Right
(n-2) x 180

27. Volume of a Cylinder
(pi)r²h
180°
D=Square root of (x2-x1)²+(y2-y1)²
45 45 90 Right triangles (x - x - x*square root of 2)

28. Area of a Rectangle:
Pi(diameter)
A=(side)² or A=½(diagonal)²
(n-2)x180/n
(pi)r²

29. Circumference of a circle
N-2
Pi(diameter)
2(lw+lh+wh)
A=(base)(height)

30. Formula for a diagonal
L²+w²+h²=d²
Circumference/diameter c/d
4/3(pi)r³
x/360 x 2(pi)r or x/360 x C

31. Circumference of a circle
A=(base)(height)
A=½(base1+base2)(height)
2(pi)r
(pi)r²

32. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
Isosceles Trapezoid
zero
Square (versus a rectangle)

33. Volume of a Sphere
y2-y1/x2-x1
90°
P=4s (s=side)
4/3(pi)r³

34. Area of a Parallelogram:
(n-2) x 180
N-2
180
A=(base)(height)

35. The sum of the angles in a quadrilateral is
360°
2(pi)rh+2(pi)r²
2(pi)r
Circumference/diameter c/d

36. 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
6e²
y2-y1/x2-x1
N-2
180

37. In a Regular Polygon - the measure of each exterior angle
(n-2)x180/n
360/n
x/360 x 2(pi)r or x/360 x C
Pi(diameter)

38. For any given Area - the rectangle with the smallest perimeter is a
360°
45 45 90 Right triangles (x - x - x*square root of 2)
Square (versus a rectangle)
zero

39. If one of the angles formed by an intersection is right - they'Re all right
2(pi)rh
Square (versus a rectangle)
Parallelogram
True

40. Vertical lines
Do not have slopes!
Straight Angle
360°
Square (versus a rectangle)

41. The consecutive angles in a parallelogram equal
True
P=2(l+w)
180°
P=4s (s=side)

42. If an arc measures x - the length of the arc is
(n-2)x180/n
2(pi)rh+2(pi)r²
2(pi)rh
x/360 x 2(pi)r or x/360 x C

43. For any given perimeter - the rectangle with the largest AREA is a
6e²
(pi)r²
2(lw+lh+wh)
Square (versus a rectangle)

44. Slope
2(pi)r
y2-y1/x2-x1
A=½(base1+base2)(height)
6e²

45. A quadrilateral where two diagonals bisect each other
Negative
2(pi)r
Parallelogram
A=(side)² or A=½(diagonal)²