Complete each of the following, so as to make a true statement:

Question:

Complete each of the following, so as to make a true statement:

(i) A quadrilateral has ....... sides.

(ii) A quadrilateral has ...... angles.

(iii) A quadrilateral has ..... vertices, no three of which are .....

(iv) A quadrilateral has .... diagonals.

(v) The number of pairs of adjacent angles of a quadrilateral is .......

(vi) The number of pairs of opposite angles of a quadrilateral is .......

(vii) The sum of the angles of a quadrilateral is ......

(viii) A diagonal of a quadrilateral is a line segment that joins two ...... vertices of the quadrilateral.

(ix) The sum of the angles of a quiadrilateral is .... right angles.

(x) The measure of each angle of a convex quadrilateral is ..... 180°.

(xi) In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.

(xii) A point is in the interior of a convex quadrilateral, if it is in the ..... of its two opposite angles.

(xiii) A quadrilateral is convex if for each side, the remaining .... lie on the same side of the line containing the side.

Solution:

(i) four

(ii) four

(iii) four, collinear

(iv) two

(v) four

(vi) two

(vii) 360°

(viii) opposite

(ix) four

(x) less than

(xi) the interior

(xii) interiors

(xiii) vertices

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