PS-Geometry

PS Questions of Geometry

In the figure above, if the coordinates of A are (1, 4)
Concept: The question tests on basics of of Coordinate Geometry Solution: If we take point C as (1, 1), we get a right angled triangle with base length = ...
Tue, 12 Oct, 2021 at 2:15 PM
In the triangle shown below, what is the value of x?
Concept:  The question tests on basics of Triangles Solution: In a 45 - 45 - 90 triangle the ratio of sides opposite to 45 45 90 = 1 : 1 : 2√2 Therefore ...
Tue, 12 Oct, 2021 at 2:15 PM
In the figure below, AC is tangent to the circle at point B
Concept:  The question tests on basics of Circles Solution: Since O is the Centre, the length of minor arc DE = Angle DOE Angle BCO = 180 - 140 = 40 (Sum...
Tue, 12 Oct, 2021 at 2:15 PM
Find the number of degrees in arc AB
Concept:  The question tests on Geometry Solution:  By the rule of Secants which intersect outside a circle, angle APB =1/2(AB−CD) Arc angle AB = 2 * ∠A...
Tue, 12 Oct, 2021 at 2:15 PM
Rectangle ABCD is constructed in the xy plane so that sides AB and CD
Solution: As the rectangle is parallel to coordinate axes, the coordinates of the points of the rectangle would be (x1, y1), (x2, y1), (x2, y2), (x1,y2)  ...
Tue, 12 Oct, 2021 at 2:15 PM
What is the equation of the line that is the perpendicular bisector
Concept: The question tests on the basics of Coordinate Geometry Solution: The product of slopes of 2 perpendicular lines = -1 Slope of the line containi...
Tue, 12 Oct, 2021 at 2:15 PM
In the xy-plane, what is the equation of the line with slope 3
Concept: The question tests on the basics of Coordinate Geometry Solution: Using the slope point form, y - y1 = m(x - x1) y - 3 = 3(x - (-3)) y - 3 = 3x...
Tue, 12 Oct, 2021 at 2:16 PM
The area of right triangle XYZ is 12
Concept: The question tests on the basics of Geometry Solution: Area = (1/2) * base * height  = (1/2) * 6 * h = 12 Therefore h = 4 By Pythagoras's ...
Tue, 12 Oct, 2021 at 2:16 PM
A rectangle and a square have the same area. The square
Concept: The question tests on basics of Mensuration  Solution: Perimeter of the square = 4 * Side = 32 Therefore Side = 32/4 = 8 Area = a^2=64 Area of...
Tue, 12 Oct, 2021 at 2:16 PM
What is the perimeter of the triangle above?
Concept: The question tests on basics of Geometry Solution: Angle ACB = 180 - 75 - 30 = 75 Therefore ABC is an isosceles triangle where AB = BC = 4 the ...
Tue, 12 Oct, 2021 at 2:16 PM