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 lies in ________ of the quadrilateral. (xii) A point os 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.

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&#xB0;. (xi) In a quadrilateral the point of intersection of the diagonals lies in ________ of the quadrilateral. (xii) A point os 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.

Philoid · Accepted Answer

(i) A quadrilateral has Four sides.

(ii) A quadrilateral has Four angles.

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

(iv) A quadrilateral has two diagonals.

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

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

(vii) The sum of the angles of a quadrilateral is 360°.

(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 lies in interior of the quadrilateral.

(xii) A point os 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.