Count the number of line segments drawn in each of the following figures and name them.
(i) Figure
(ii) Figure
(iii) Figure
(iv) Figure

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Solution

(i) There are 6 line segments. These are:
$\bar{A B} (w i t h e n d p o i n t s A a n d B) \bar{A C} (w i t h e n d p o i n t s A a n d C) \bar{A D} (w i t h e n d p o i n t s A a n d D) \bar{B C} (w i t h e n d p o i n t s B a n d C) \bar{B D} (w i t h e n d p o i n t s B a n d D) \bar{C D} (w i t h e n d p o i n t s C a n d D)$

(ii) There are 10 line segments. These are:
$\bar{A B} (w i t h e n d p o i n t s A a n d B) \bar{B C} (w i t h e n d p o i n t s B a n d C) \bar{C D} (w i t h e n d p o i n t s C a n d D) \bar{A D} (w i t h e n d p o i n t s A a n d D) \bar{A C} (w i t h e n d p o i n t s A a n c C) \bar{B D} (w i t h e n d p o i n t s B a n d D) \bar{A O} (w i t h e n d p o i n t s A a n d O) \bar{C O} (w i t h e n d p o i n t s C a n d O) \bar{B O} (w i t h e n d p o i n t s B a n d O) \bar{D O} (w i t h e n d p o i n t s D a n d O)$

(iii) There are 6 line segments. They are:
$\bar{A B}, \bar{A F}, \bar{F B}, \bar{E C}, \bar{E D}, \bar{D C}$

(iv) There are 12 line segments. They are:
$\bar{A B}, \bar{A D}, \bar{A E} \bar{B C}, \bar{B F} \bar{C G}, \bar{C D} \bar{H G}, \bar{H E}, \bar{D H} \bar{E F}, \bar{G F}$

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Similar questions

In figure name the following :

(i) Five line segments

(ii) Five rays

(iii) Four collinear points

(iv) Two pairs of non-intersecting line segments

In the figure, name the following :

(i) Five line segments.

(ii) Five rays.

(iii) Four collinear points.

(iv) Two pairs of non-intersecting line segments.

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