PS-Geometry

PS Questions of Geometry

In parallelogram ABCD, AB = x + 4, BC = x – 6, and CD = 2x – 16. Find AD.
CONCEPT: The problem tests on the basic skills of Geometry SOLUTION:   In a parallelogram; AB = CD and AD = BC From what is given to us, we can assume- x+4...
Tue, 12 Oct, 2021 at 2:00 PM
Which of the following statements is true regarding triangle ABC?
CONCEPT: The question tests on the basic skills of Geometry SOLUTION: Sum of angles in a triangle =180 degree Hence third angle opposite to BC(angle A) = ...
Tue, 12 Oct, 2021 at 2:00 PM
The circumference of a circle whose area is 16π is
CONCEPT: The question applies the Basics in Geometry(from the area of circle) SOLUTION: Area of a circle=πr^2 and here πr^2=16π => r^2=16 => r=4 Ci...
Tue, 12 Oct, 2021 at 2:00 PM
The area of a trapezoid whose bases are 10 and 12 and whose altitude is 3 is
CONCEPT: The question applies the basics of Geometry(Traphezoids) SOLUTION:   Area of a trapezoid =(1/2)*height(h)*(sum of parallel sides) =(1/2)*3*(10+12)...
Tue, 12 Oct, 2021 at 2:00 PM
A is the center of the top face of the right circular cylinder in the figure above. If the degree measure of ∠BAC∠BAC is four times that of ∠ACB∠ACB, and the height of the cylinder is equal to the diameter of its base, then the volume of th
CONCEPT:The question discusses and applies the concepts of Mensuration and Geometry basics SOLUTION: Let us assume ∠ACB=x, therefore ∠BAC=4x, ∠ABC=x (△ABC...
Tue, 12 Oct, 2021 at 2:00 PM
In the linear function f, if f(–3) = 3 and if the slope of the graph of f in the xy-plane is 3, what is the equation of the graph of f ?
CONCEPTS: The question is from the area of coordinate geometry. SOLUTION: We know y=mx +c [m is slope] Here x= -3 y=3 m=3 Hence 3 = (-9) + c => c= 12 U...
Tue, 12 Oct, 2021 at 2:00 PM
In the linear function g, if g(4) = –9 and g(–2) = 6, what is the y-intercept of the graph of g in the xy-plane?
CONCEPT: The question tests on the concepts of Coordinate Geometry SOLUTION: g(4) = –9 and g(–2) = 6 Hence the points are (4,-9) and (-2,6) Thus slope in ...
Tue, 12 Oct, 2021 at 2:04 PM
The graph shown in the xy-plane above could represent which of the following equations?
CONCEPT: The question tests on the area of graphs and functions SOLUTION:   The equation |y| = x^2 represents the union of two equations, y=x^2 and -y=x^2 ...
Tue, 12 Oct, 2021 at 2:04 PM
Which of the following is the equations best defines the graph shown below in the xy-plane?
CONCEPT: The question tests on the area of graphs and functions  SOLUTION:  The equation |x| = 1/y^2 represents the union of the equations: x = 1/y^2 (Gra...
Tue, 12 Oct, 2021 at 2:04 PM
What is the perimeter of the triangle in the figure above?
CONCEPTS: The question tests on the basics of Geometry and basic formulas of Geometry SOLUTION:   In the right angled triangle EDF: ED^2 +EF^2 = DF^2 Thus...
Tue, 12 Oct, 2021 at 2:05 PM