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