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Maharashtra State BoardSSC (English Medium) 9th Standard

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not. Point A B C D E Co-ordinate -3 5 2 -7 9 - Geometry

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Question

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

Point A B C D E
Co-ordinate -3 5 2 -7 9

seg BC and seg AD

Sum

Solution

The co-ordinates of points B and C are 5 and 2 respectively.

We know that 5 > 2

∴ l(BC) = 5 − 2 

∴ l(BC) = 3

The co-ordinates of points A and D are −3  and −7 respectively.

We know that −3 > −7

∴ l(AD) = − 3 − (−7)

∴ l(AD) = − 3 + 7

∴ l(AD) = 4

∴ l(BC) ≠ l(AD)

∴ seg BC and seg AD are not congruent.

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Chapter 1: Basic Concepts in Geometry - Practice set 1.2 [Page 7]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 1 Basic Concepts in Geometry
Practice set 1.2 | Q 1. (ii) | Page 7
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