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Question

Use the following information to answer the next question.

How many diagonals containing point B or point D can be drawn in the given polygon?


A

7

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B

9

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C

10

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D

12

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Solution

The correct option is B

9


The diagonal of a polygon can be defined as the line segment joining the non-adjacent vertices of the polygon.

Therefore, required diagonals can be drawn in the given polygon as

It can be seen that diagonals containing point B or point D are BD, BE, BF, BG, BH, DA, DF, DG, and DH.

Thus, 9 diagonals containing point B or point D can be drawn in the given polygon.


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