Q3 of 24 Page 16

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.

(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.


More from this chapter

All 24 →
1

Define the following terms:

(i) Quadrilateral


(ii) Convex Quadrilateral

 2

In a quadrilateral, define each of the following:

(i) Sides


(ii) Vertices


(iii) Angles


(iv) Diagonals


(v) Adjacent angles


(vi) Adjacents sides


(vii) Opposite sides


(viii) Opposite angles


(ix) Interior


(x) Exterior

 4

In Fig. 16.19, ABCD is a quadrilateral.


(i) Name a pair of adjacent sides.


(ii) Name a pair of opposite sides.


(iii) How many pairs of adjacent sides are there?


(iv) How many pairs of opposite sides are there?


(v) Name a pair of adjacent angles.


(vi) Name a pair of opposite angles.


(vii) How many pairs of adjacent angles are there?


(viii) How many pairs of opposite angles are there?

 5

The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.