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

Read More# Properties of Triangle – types & formulas [Video & Practice]

In this article, we are going to learn about the simplest form of a polygon, a triangle. All polygons can be divided into triangles, or in other words, they are formed by combining two or more triangles. Thus, understanding the basic properties of a triangle and its types is essential. There are six types of

Read More# Lines and Angles – Definitions, Properties, Types, Practice Questions

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

Read More# 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

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

Read More# 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

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

Read More# If Car A took n hours to travel 2 miles and Car B took m hours to travel 3 miles, which of the following expresses the time it would take Car C, traveling at the average (arithmetic mean) of those rates, to travel 5 miles? – OGQR 2020 Question #79 with Solution

OGQR 2020: Question No. 79 If Car A took n hours to travel 2 miles and Car B took m hours to travel 3 miles, which of the following expresses the time it would take Car C, traveling at the average (arithmetic mean) of those rates, to travel 5 miles? Source OGQR 2020 Type Problem

Read More# 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

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

Read More# Which of the following gives all possible values of x in the figure above? – OGQR 2020 Question #91 with Solution

OGQR 2020: Question No. 91 Which of the following gives all possible values of x in the figure above? Source OGQR 2020 Type Problem Solving Topic Geometry Sub-Topic Triangle Difficulty Easy – Medium Solution Given In this question, we are given The diagram of a triangle PQR, with side lengths PQ = 3, QR =

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

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

Read More# If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? – OG 2020 Question #381 with Solution

OG 2020: Question No. 381 If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? The selling price of the sofa was greater than 140 percent of the purchase price. The merchant’s gross profit from the purchase and sale of the sofa

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