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