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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 Perimeter of a Square
Straight Angle
2(pi)rh
P=4s (s=side)
P=2(l+w)

2. Vertical lines
D=Square root of (x2-x1)²+(y2-y1)²
Do not have slopes!
zero
(n-2) x 180

3. For any given Area - the rectangle with the smallest perimeter is a
D=Square root of (x2-x1)²+(y2-y1)²
Square (versus a rectangle)
Circumference/diameter c/d
Straight Angle

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

5. The Perimeter of a rectangle
P=4s (s=side)
x/360 x 2(pi)r or x/360 x C
P=2(l+w)
A=½(base1+base2)(height)

6. A quadrilateral where two diagonals bisect each other
2(pi)rh+2(pi)r²
Parallelogram
zero
6e²

7. Formula for the surface area of a cube
Square (versus a rectangle)
6e²
Isosceles Trapezoid
A=(side)² or A=½(diagonal)²

8. Area of a Trapezoid:
Isosceles Trapezoid
A=½(base1+base2)(height)
P=4s (s=side)
180

9. Any Horizontal line slope
zero
4/3(pi)r³
y2-y1/x2-x1
6e²

10. Volume of a Cylinder
360°
(pi)r²h
Pi(diameter)
2(pi)r

11. What kind of trapezoid has equal parallel sides?
Negative
(n-2) x 180
Isosceles Trapezoid
x/360 x (pi)r² or x/360 x A

12. Area of a Rectangle:
90°
2(lw+lh+wh)
6e²
A=(side)² or A=½(diagonal)²

13. The consecutive angles in a parallelogram equal
Pi(diameter)
180°
Straight Angle
2(pi)rh+2(pi)r²

14. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
P=2(l+w)
Do not have slopes!
360°
N-2

15. The area of a sector formed by an arc and 2 radii
A=(side)² or A=½(diagonal)²
(n-2) x 180
x/360 x (pi)r² or x/360 x A
Edge³

16. Formula for a diagonal
360/n
Circumference/diameter c/d
L²+w²+h²=d²
True

17. Each diagonal divides a square into 2
45 45 90 Right triangles (x - x - x*square root of 2)
Straight Angle
Positive
(n-2) x 180

18. Surface area of a cylinder
Do not have slopes!
2(pi)rh
Pi(diameter)
Edge³

19. If an arc measures x - the length of the arc is
Right
4/3(pi)r³
x/360 x 2(pi)r or x/360 x C
180

20. Circumference of a circle
(n-2) x 180
2(pi)r
360/n
Square (versus a rectangle)

21. In a Regular Polygon - the measure of each exterior angle
P=4s (s=side)
45 45 90 Right triangles (x - x - x*square root of 2)
D=Square root of (x2-x1)²+(y2-y1)²
360/n

22. If you measure all exterior angles in a polygon - they all equal
y2-y1/x2-x1
Square (versus a rectangle)
360°
A=½(base1+base2)(height)

23. Circumference of a circle
L²+w²+h²=d²
Pi(diameter)
(length)(width)(height)
A=(base)(height)

24. Volume of a cube
Edge³
Straight Angle
2(lw+lh+wh)
90°

25. Slope of any line that goes down as you move from left to right is
x/360 x 2(pi)r or x/360 x C
D=Square root of (x2-x1)²+(y2-y1)²
A=(base)(height)
Negative

26. In a Rectangle - each angles measures
360°
A=½(base1+base2)(height)
4/3(pi)r³
90°

27. In any polygon - all external angles equal up to
2(pi)rh
x/360 x (pi)r² or x/360 x A
Straight Angle
360°

28. 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
zero
180°
A=(base)(height)
180

29. Area of a circle
Isosceles Trapezoid
A=(base)(height)
360°
(pi)r²

30. The sum of all angles around a point
360°
Square (versus a rectangle)
Do not have slopes!
x/360 x 2(pi)r or x/360 x C

31. Surface area of a rectangular solid
2(lw+lh+wh)
(pi)r²h
180°
6e²

32. In any Regular Polygon - the measure of each interior angle
A=(side)² or A=½(diagonal)²
4/3(pi)r³
D=Square root of (x2-x1)²+(y2-y1)²
(n-2)x180/n

33. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
Negative
zero
360°

34. Pi
Circumference/diameter c/d
Straight Angle
Square (versus a rectangle)
2(pi)rh

35. If one of the angles formed by an intersection is right - they'Re all right
True
Parallelogram
x/360 x (pi)r² or x/360 x A
zero

36. The sum of the measures of the n angles in a polygon with n sides
180
(n-2) x 180
Pi(diameter)
2(pi)rh

37. Area of a Parallelogram:
180
A=(base)(height)
(length)(width)(height)
zero

38. Slope
P=4s (s=side)
y2-y1/x2-x1
Straight Angle
Positive

39. Slope of any line that goes up from left to right
Edge³
A=½(base1+base2)(height)
N-2
Positive

40. The sum of the angles in a quadrilateral is
(n-2) x 180
2(pi)rh
A=(side)² or A=½(diagonal)²
360°

41. Volume of a rectangular solid
2(pi)r
360°
Positive
(length)(width)(height)

42. An Angle that'S 180°
45 45 90 Right triangles (x - x - x*square root of 2)
360/n
Straight Angle
Pi(diameter)

43. The surface area of a cynlinder plus top and bottom
6e²
2(pi)rh
2(pi)rh+2(pi)r²
Edge³

44. In a rectangle - all angles are
2(pi)rh+2(pi)r²
360°
N-2
Right

45. Volume of a Sphere
4/3(pi)r³
y2-y1/x2-x1
Square (versus a rectangle)
2(lw+lh+wh)