In Question 4 Point C Is Called A Mid Point Of The Line Segment Ab In question 4, point c is called a mid point of line segment ab. prove that every line segment has one and only one mid point. solution: we know that the things which coincide with one another are equal to one another. let us consider that line segment ab has two midpoints ‘c’ and ‘d’ as shown in the figure below. In que 4 point c is called a midpoint | prove that every line segment has one and only one midpoint | class 9th | class 9th | ak mtcourse | by anand kushwaha.
Proof Of Midpoint Formula Youtube Also, euclid’s axiom (4) says that things which coincide with one another are equal to one another. so, it can be deduced that ad bd = ab from this, we can say that 2ad = ab (ii) now, from equation (i) and (ii) we will get ad = ac and this is only possible when c and d are the same points. From equations (1) and (2), we get : ⇒ ac = ad. ⇒ c has to coincide with d for ac to be equal to ad. according to euclid's axiom 4: things which coincide with one another are equal to one another. hence, proved that a line segment has only one midpoint. answered by. 2 likes. in question 4, point c is called a mid point of line segment ab. In question 4,point c is called a mid point of the line segment ab i prove that every line segment has one and only one mid point i class 9 i introduction to. Given three points a, b, and c such that c lies between a and b and ac = bc, we need to prove that ac is half of ab or ac = 1 2 ab. we can draw a figure where we mark points a, b, and c on a straight line ab and use the properties of line segments to prove that ac = 1 2 ab. therefore, if ac = bc and c lies between a and b, then ac is half of ab.
Point C Is The Mid Point Of Line Segment Ab Prove That Every Line In question 4,point c is called a mid point of the line segment ab i prove that every line segment has one and only one mid point i class 9 i introduction to. Given three points a, b, and c such that c lies between a and b and ac = bc, we need to prove that ac is half of ab or ac = 1 2 ab. we can draw a figure where we mark points a, b, and c on a straight line ab and use the properties of line segments to prove that ac = 1 2 ab. therefore, if ac = bc and c lies between a and b, then ac is half of ab. Show that the mid point of the line segment joining the points $(5, 7)$ and $(3, 9)$ is also the mid point of the line segment joining the points $(8, 6)$ and $(0, 10)$. Ex 5.1, 5 in the above question, point c is called a mid point of line segment ab, prove that every line segment has one and only one mid point. in previous question, c was mid point of ab.
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