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