Introduction to Geometry

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Introduction to Geometry: Overview

This topic contains concepts like Geometry, Origin of the Word Geometry, Application of Geometry in Ancient Times and Geometrical Figures.

Important Questions on Introduction to Geometry

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The number of points a line can have been:

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The sides of a quadrilateral are extended to make the angles as shown below.

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What is the value x?

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In a trapezium ABCD,ABCD and the diagonals meet at point O. If AB=6 cm and DC=3 cm, then the ratio of ar(AOB) and ar(COD) will be ____ .

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ABCD is a square. M is the mid-point of AB and N is the mid-point of BCDM and AN are joined and they meet at O. Then which of the following is not correct?

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In ABC, AB=5 cm,  AC=7 cm. If AD is the angle bisector of A, then BD : CD is-

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ABC is an isosceles triangle with AB=AC. A circle through B touching AC at the middle point Intersects AB at P. Find AP:AB is:

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A polygon has 54 diagonals. Find the number of sides in the polygon?

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The area of an equilateral triangle is 43 cm2. The length of each side of the triangle is:

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If points A (1,  1), B (5, 2) and C (9, 5) are collinear, then which option is correct?

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If the area of an equilateral triangle is 243 cm2. Then its perimeter is -

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In quadrilateral PQRS, name:

Two points which are exterior of the quadrilateral.

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AB is a chord of a circle with centre O and P is any point on the circle. If APB = 122°, then what is the measure of OAB?

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Two circles of radius 15 cm and 37 cm intersect each other at points A and B. If the length of the common chord is 24 cm, what is the distance (in cm) between the centres of the circles?

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In the given figure, the value of m is

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In a circle with centre O and radius 13 cm, a chord AB is drawn. Tangents at A and B intersects at P such that APB = 60°. If the distance of AB from the centre O is 5 cm, then what is the length (in cm) of AP?

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ABCD is a cyclic quadrilateral. AB and DC meet at F, when produced. AD and BC meet at E, when produced. If BAD = 68° and AEB = 27°, then what is the measure of BFC?

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A chord AB of circle C1 of radius 17 cm touches circle C2 which is concentric to C1. The radius of C2 is 8 cm. What is the length (in cm) of AB?

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ABCD is a cyclic quadrilateral such that AB is the diameter of the circle and ADC = 145°, then what is the measure of BAC?

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A ΔABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.

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If a triangle ABC is right- Triangle at A, then what is the value of sinB+C2cosB+C2?