A quadrilateral has _______ diagonals.

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Solution

Quadrilateral : A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
Therefore, there are only two pairs of opposite vertices in a quadrilateral.
We know that a line segment joining two opposite vertices is known as a diagonal.
Let a quadrilateral $A B C D$ where $A, B, C, D$ are the vertices.

Then, $B D$ and $A C$ are its diagonals.

Hence, a quadrilateral has two diagonals.

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Similar questions

Q. Fill in the blanks:
(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) A diagonal of a quadrilateral is a line segment that joins two ......... vertices of the quadrilateral.
(vi) The sum of the angles of a quadrilateral is.........

Fill in the blanks :
(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) A diagonal of a quadrilateral is a line segment that joins two ___ vertices of the quadrilateral.
(vi) The sum of the angles of a quadrilateral is ___.

Complete the following:

(a) A quadrilateral has ____________ sides.

(b) A quadrilateral has ____________ diagonals.

(d) In an isosceles trapezium, the base angles are ____________.

(e) In a rhombus, the diagonals bisect each other in ____________ angles.

(f) In a square, all the sides are ____________.

Q. 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.

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 quadilateral 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 ______ $180 \circ$ .
(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.

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