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 ____, 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 quadrilateral 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 **** 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.

Answer 1

(i) A quadrilateral has four sides.

(ii) A quadrilateral has four angles.

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

(iv) A quadrilateral has two diagonals.

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

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

(vii) The sum of the angles of a quadrilateral is 3600.

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

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

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

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

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

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