Question

With respect to the figure, name the five line segments

A) ND, GI, LN, BL, CM
B) ND, GI, LN, BM CM
C) ND, GI, BN, BM, CM
D) ND, GI, BN, BL, CM

Answer 1

Hint: A line segment is a line having two endpoints so we will find all such lines which have two end points and then check each of the options and observe whether they are true or false.

Complete step-by-step answer:
We now that a line segment is a line having two endpoints
Hence all such lines having two end points are:-
BL, BG, CH, CM, DI, IN, BC, BD, LM, LN, GH, GI, DN, GL, HM, MN, HI ……………………….(1)
Now let us check for all the options
A) ND, GI, LN, BL, CM
According to the above stated line segments in (1)
ND is a line segment.
GI is a line segment.
LN is a line segment.
BL is a line segment.
CM is a line segment.
Hence option A is correct.
B) ND, GI, LN, BM CM
According to the above stated line segments in (1)
ND is a line segment.
GI is a line segment.
LN is a line segment.
BM is not a line segment.
CM is a line segment.
Hence option B is incorrect.
C) ND, GI, BN, BM, CM
According to the above stated line segments in (1)
ND is a line segment.
GI is a line segment.
BN is not a line segment.
BM is not a line segment.
CM is a line segment.
Hence option C is incorrect.
D) ND, GI, BN, BL, CM
According to the above stated line segments in (1)
ND is a line segment.
GI is a line segment.
BN is not a line segment.
BL is a line segment.
CM is a line segment.
Hence option D is incorrect.

Hence the answer is option A.

Note: Students might make a mistake in determining the line segment and a line.
They should note that a line segment has two endpoints while a line does not have any end point.
A line segment is represented as:

A line is represented as: