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