Question

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

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

Answer 1

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.