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Question

Measurements of which of the following parts would be sufficient to construct a quadrilateral?

A
5 sides and 3 diagonals
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B
3 sides only
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C
3 angles and their 2 included sides
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D
2 diagonals only
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Solution

The correct option is C 3 angles and their 2 included sides
There are only 4 sides and 2 diagonals in a quadrilateral. So, option (1) is not valid.
Only 3 sides are not sufficient to draw a quadrilateral. So, option (2) is also invalid.
Only 2 diagonals are not sufficient to draw a quadrilateral. So, option (4) is also not valid.
A quadrilateral requires a minimum of five measurements. So, 3 angles and 2 included sides is a sufficient condition for constructing a quadrilateral. So, option (3) is correct.

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