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Test your basic knowledge |
GRE Math: Geometry
Start Test
Study First
Subjects
:
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. Area of a Parallelogram:
45 45 90 Right triangles (x - x - x*square root of 2)
Isosceles Trapezoid
4/3(pi)r³
A=(base)(height)
2. In a Regular Polygon - the measure of each exterior angle
Circumference/diameter c/d
360/n
Isosceles Trapezoid
zero
3. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
180°
Right
N-2
4. If you measure all exterior angles in a polygon - they all equal
360°
2(pi)rh+2(pi)r²
180
(n-2)x180/n
5. If one of the angles formed by an intersection is right - they'Re all right
Pi(diameter)
90°
True
Parallelogram
6. Formula for a diagonal
2(pi)rh+2(pi)r²
2(pi)r
(pi)r²
L²+w²+h²=d²
7. Surface area of a rectangular solid
(n-2)x180/n
2(lw+lh+wh)
L²+w²+h²=d²
(pi)r²h
8. Vertical lines
360°
Pi(diameter)
zero
Do not have slopes!
9. Volume of a Cylinder
2(lw+lh+wh)
(pi)r²h
N-2
180°
10. An Angle that'S 180°
360°
180
(n-2) x 180
Straight Angle
11. In a Rectangle - each angles measures
D=Square root of (x2-x1)²+(y2-y1)²
90°
Edge³
Straight Angle
12. Circumference of a circle
Pi(diameter)
(pi)r²
L²+w²+h²=d²
Parallelogram
13. Each diagonal divides a square into 2
(length)(width)(height)
x/360 x 2(pi)r or x/360 x C
45 45 90 Right triangles (x - x - x*square root of 2)
180°
14. Slope of any line that goes up from left to right
Negative
Positive
4/3(pi)r³
A=(side)² or A=½(diagonal)²
15. For any given Area - the rectangle with the smallest perimeter is a
A=(base)(height)
Square (versus a rectangle)
(length)(width)(height)
2(pi)rh+2(pi)r²
16. In any polygon - all external angles equal up to
Circumference/diameter c/d
360°
6e²
Do not have slopes!
17. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
2(pi)r
(length)(width)(height)
(pi)r²h
18. Formula for the surface area of a cube
6e²
Circumference/diameter c/d
360°
Isosceles Trapezoid
19. The consecutive angles in a parallelogram equal
(n-2) x 180
180°
x/360 x (pi)r² or x/360 x A
A=(base)(height)
20. Volume of a rectangular solid
(length)(width)(height)
180°
2(pi)rh+2(pi)r²
2(lw+lh+wh)
21. A quadrilateral where two diagonals bisect each other
Right
A=(base)(height)
Edge³
Parallelogram
22. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
2(lw+lh+wh)
N-2
Square (versus a rectangle)
Do not have slopes!
23. Area of a Rectangle:
A=(side)² or A=½(diagonal)²
A=(base)(height)
P=2(l+w)
Negative
24. If an arc measures x - the length of the arc is
D=Square root of (x2-x1)²+(y2-y1)²
90°
(n-2)x180/n
x/360 x 2(pi)r or x/360 x C
25. Volume of a cube
2(pi)r
Edge³
4/3(pi)r³
Straight Angle
26. Any Horizontal line slope
90°
Square (versus a rectangle)
x/360 x (pi)r² or x/360 x A
zero
27. The Perimeter of a rectangle
Positive
P=2(l+w)
Negative
360/n
28. Slope
y2-y1/x2-x1
2(pi)r
P=2(l+w)
360°
29. Area of a circle
zero
Straight Angle
2(lw+lh+wh)
(pi)r²
30. The sum of the angles in a quadrilateral is
P=4s (s=side)
Negative
360°
2(pi)rh
31. What kind of trapezoid has equal parallel sides?
Isosceles Trapezoid
90°
y2-y1/x2-x1
180
32. Slope of any line that goes down as you move from left to right is
45 45 90 Right triangles (x - x - x*square root of 2)
Negative
360°
(n-2)x180/n
33. In any Regular Polygon - the measure of each interior angle
2(pi)rh+2(pi)r²
Positive
x/360 x (pi)r² or x/360 x A
(n-2)x180/n
34. Volume of a Sphere
4/3(pi)r³
P=4s (s=side)
A=½(base1+base2)(height)
Square (versus a rectangle)
35. For any given perimeter - the rectangle with the largest AREA is a
Negative
360°
Square (versus a rectangle)
Right
36. Pi
Circumference/diameter c/d
P=4s (s=side)
Parallelogram
A=½(base1+base2)(height)
37. The surface area of a cynlinder plus top and bottom
P=2(l+w)
2(pi)rh+2(pi)r²
Edge³
A=(base)(height)
38. Area of a Trapezoid:
90°
A=(side)² or A=½(diagonal)²
A=½(base1+base2)(height)
Edge³
39. 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
90°
360°
L²+w²+h²=d²
40. Surface area of a cylinder
Square (versus a rectangle)
A=(side)² or A=½(diagonal)²
2(pi)rh
True
41. Circumference of a circle
L²+w²+h²=d²
Isosceles Trapezoid
Positive
2(pi)r
42. In a rectangle - all angles are
Pi(diameter)
Right
360°
Edge³
43. The sum of all angles around a point
45 45 90 Right triangles (x - x - x*square root of 2)
Square (versus a rectangle)
(pi)r²h
360°
44. Distance Formula
2(pi)r
N-2
D=Square root of (x2-x1)²+(y2-y1)²
(n-2)x180/n
45. The Perimeter of a Square
Square (versus a rectangle)
Positive
D=Square root of (x2-x1)²+(y2-y1)²
P=4s (s=side)