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