List of top Quantitative Aptitude Questions on Geometry asked in GRE

In the rectangular coordinate plane, point A has coordinates (-4, 0), point B has coordinates (0, 4), point C has coordinates (4, 0), and point D has coordinates (0, -4). What is the area of quadrilateral ABCD?
If the inside diameter of a cylindrical garden hose is 1 inch, what is the length, in inches, of a straight hose that can hold a maximum of 1 gallon of water? (1 gallon = 231 cubic inches)
A square dart board has four dark circular regions of radius 3 inches as shown in the design above. Each point on the dart board is equally likely to be hit by a dart that hits the board. What is the probability that a dart that hits the board will hit one of the circular regions?
In the figure above, the areas of square regions X and Y are 1 and 4, respectively. What is the area of the triangular region?


Column A: The area of the triangular region
Column B: 6

In a rectangular coordinate system, line k has x-intercept 4 and slope –2.
Column A: The y-intercept of k
Column B: 2

Column A: The perimeter of a square with sides of length 5 
Column B: The perimeter of a rectangle with length 10 and width 2


Column A: r
Column B: v

Column AColumn B
\(y\)\(4x\)

\(\triangle XQY\) and \(\triangle ZYR\) are equilateral triangles, and the ratio of ZR to PR is 1 to 4.
 

Column AColumn B
The perimeter of \(\triangle XQY\)The perimeter of parallelogram PXYZ


 

The vertices of an equilateral triangle are on a circle.
 

Column AColumn B
The length of a side of the triangleThe diameter of the circle


 

In the rectangular coordinate system, line \(k\) passes through the points (0,0) and (4,8); line \(m\) passes through the points (0,1) and (4,9).

Column AColumn B
The slope of line \(k\)The slope of line \(m\)


 

If the area of the shaded region of the square above is 20, what is the perimeter of the square? 

 

ABCD is a rectangle with diagonals AC and DB.

Column AColumn B
\(r + u + v\)\(r + u + w\)

The three small rectangles have the same dimensions

Column AColumn B
\(\frac{PS}{RS}\)\(\frac{1}{2}\)
Column AColumn B
The area of triangular region OPQThe area of triangular region ORS
Column AColumn B
\(x\)\(5\)
The curve below consists of three semicircles: AB, BC, and CD. The diameter of AB is 2, the diameter of BC is twice the diameter of AB, and the diameter of CD is twice the diameter of BC. What is the total length of the curve?
A rectangular solid has a square base and altitude of 7. If the volume of the solid is 252, then the perimeter of the square base is
In the xy-coordinate system, the point (x, y) lies on the circle with equation \(x^2 + y^2 = 1\).
Column A: \(x + y\)
Column B: 1.01
Column A: x
Column B: 80
\(PQ = OQ = 5\)
Column A: The area of region OPQ
Column B: 10
The square is inscribed in the circle.
Column A: The length of a diagonal of the square
Column B: The length of a diameter of the circle
In the rectangular coordinate system, the circle with center P is tangent to both the x- and y-axes.
Column A: The x-coordinate of P
Column B: The y-coordinate of P
The measures of two angles of a parallelogram differ by 52 degrees. The number of degrees in the smaller angle is