Properties of quadrilaterals and types of quadrilaterals

Properties of Quadrilaterals – rectangle, square, parallelogram, rhombus, trapezium

A 8 minute read

In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties

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Lines and angles GMAT quant preparation e-GMAT

Lines and Angles – Definitions, Properties, Types, Practice Questions

A 7 minute read

Ancient mathematicians introduced the concept of lines to represent straight objects which had negligible width and depth. Considered as a breadth less length by Euclid, lines form the basis of Euclidean geometry. When two rays (part of a straight line) intersect each other in the same plane, they form an angle. The point of intersection

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The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. What is the radius, in meters, of the tabletop when all four leaves are up? – OGQR 2020 Question #99 with Solution

A 2 minute read

OGQR 2020: Question No. 99 The figure above shows a drop-leaf table. With all four leaves down the tabletop is a square, and with all four leaves up the tabletop is a circle. What is the radius, in meters, of the tabletop when all four leaves are up? Source OGQR 2020 Type Problem Solving Topic

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P is a particle on the circle shown above. What is the length of the path travelled by P in one complete revolution around the circle? – OGQR 2020 Question #212 with Solution

A 2 minute read

OGQR 2020: Question No. 212 P is a particle on the circle shown above. What is the length of the path traveled by P in one complete revolution around the circle? The diameter of the circle is 1.5 meters. The particle P moves in a clockwise direction at 0.5 meter per second. Source OGQR 2020 Type Data Sufficiency Topic Geometry/Word Problems Sub-Topic

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In a rectangular coordinate system, straight-line k passes through points (0, 0) and (3, 2). Which of the following are coordinates of a point on k? – OGQR 2020 Question #78 with Solution

A 2 minute read

OGQR 2020: Question No. 78 In a rectangular coordinate system, straight-line k passes through points (0, 0) and (3, 2). Which of the following are coordinates of a point on k? Source OGQR 2020 Type Problem Solving Topic Geometry Sub-Topic Coordinate Geometry Difficulty Easy-Medium Solution Given In this question, we are given In a rectangular

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Is quadrilateral PQRS a parallelogram? – OG 2020 Question #324 with Solution

A 2 minute read

OG 2020: Question No. 324 Is quadrilateral PQRS a parallelogram? Adjacent sides PQ and QR have the same length. Adjacent sides RS and SP have the same length. Source OG 2020 Type Data Sufficiency Topic Geometry Sub-Topic Quadrilateral Difficulty Medium Solution Steps 1 & 2: Understand Question and Draw Inferences In this question, we are

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The figure above shows a portion of a road map on which the measures of certain angles are indicated. If all lines shown are straight and intersect as shown, is road PQ parallel to road RS? – OGQR 2020 Question #222 with Solution

A 2 minute read

OGQR 2020: Question No. 222 The figure above shows a portion of a road map on which the measures of certain angles are indicated. If all lines shown are straight and intersect as shown, is road PQ parallel to road RS? Source OGQR 2020 Type Data Sufficiency Topic Geometry Sub-Topic Lines and Angles Difficulty Easy – Medium Solution

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What is the area, in square meters, of the building plot shown in the figure above? – OGQR 2020 Question #218 with Solution

A 2 minute read

OGQR 2020: Question No. 218 What is the area, in square meters, of the building plot shown in the figure above? KM = MP = 30 meters JK = KL = LM = MN = NP = 15 meters Source OGQR 2020 Type Data Sufficiency Topic Geometry Sub-Topic Polygons Difficulty Medium Solution Steps 1 & 2: Understand Question and Draw Inferences In this question, we are given: A diagram of

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