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