In Que 4 Point C Is Called A Midpoint Prove That Every Line Segment Has One And Only One Midpoint

How To Find The Midpoint Gcse Maths Steps Examples 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. Point c is called a mid point of line segment ab. prove that every line segment has one and only one mid point.

In Que 4 Point C Is Called A Midpoint Prove That Ever Vrog Step by step video & image solution for 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. by maths experts to help you in doubts & scoring excellent marks in class 9 exams. Let c and d are two mid points of line segment ab. according to question 4, we have, ac = 1 2 ab and ad = 1 2 ab ⇒ ac = ad [things which are equal to the same thing are equal to one another] it is possible only if c and d coincide with each other. hence, the mid point c is unique. 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. 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.

Midpoint Formula Chilimath 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. 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. Q. prove that every line segment has a unique mid point. q. show that every line segment has one and only one middle point. q. write the turth value (t f) of each of the following statements: (i) two lines intersect in a point. (ii) two lines may intersect in two points. (iii) a segment has no length. (iv) two distinct points always determine a. Prove that every line segment has a unique midpoint. view solution. q 4. point c is called a mid point of line segment ab. prove that every line segment has one and only one mid point. view solution. q 5.