A point C is called the midpoint of a line segment $¯ ¯¯¯¯¯¯ ¯ A B$ if

(a) C is an interior of AB

(b) AC=CB

(c) C is an interior point of AB such that $¯ ¯¯¯¯¯¯ ¯ A C = ¯ ¯¯¯¯¯¯ ¯ C B$

(d) AC+CB=AB

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Solution

ANSWER:
(c) C is an interior point of AB, such that AC = CB

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Similar questions

Q. A point C is called the mid-point of a line segment

A B

if
(a) C is an interior point of AB
(b) AC = CB
(c) C is an interior point of AB, such that

A C = C B

(d) AC + CB = AB

In the given figure?

a) is AC + CB = AB?

b) is AB + AC = CB?

c) is AB + BC = CA?

Draw any line segment, say $¯ ¯¯¯¯¯¯ ¯ A B$ . Take any point $C$ lying in between $A$ and $B$ . Measure the lengths of $A B, B C,$ and $A C$ . Is $A B = A C + C B$ ?

[Note: If $A, B, C$ are any three points on a line, such that $A C + C B = A B$ , then we can be sure that $C$ lies between $A$ and $B$ .]

Draw any line segment, say. Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC + CB?

[Note: If A, B, C are any three points on a line such that AC + CB = AB, then we can be sure that C lies between A and B]

Divide a line segment AB of any length putting a point C such that $\frac{A C}{C B}$ is 3:1.

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A point C is called the midpoint of a line segment ¯¯¯¯¯¯¯¯AB if (a) C is an interior of AB (b) AC=CB (c) C is an interior point of AB such that ¯¯¯¯¯¯¯¯AC=¯¯¯¯¯¯¯¯CB (d) AC+CB=AB

ANSWER: (c) C is an interior point of AB, such that AC = CB

A point C is called the midpoint of a line segment $¯ ¯¯¯¯¯¯ ¯ A B$ if

(a) C is an interior of AB

(b) AC=CB

(c) C is an interior point of AB such that $¯ ¯¯¯¯¯¯ ¯ A C = ¯ ¯¯¯¯¯¯ ¯ C B$

(d) AC+CB=AB

ANSWER:
(c) C is an interior point of AB, such that AC = CB