A diagonal of a quadrilateral is a line segment that joins two __________ vertices of the quadrilateral.

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Solution

A diagonal line is a line segment that connects the two vertices of a shape, which are not already joined by an edge. It does not go straight up, down or across.
In other words, a diagonal is a straight line that connects the opposite corners of a polygon through its vertex.
Hence, A diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral.

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Similar questions

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 ___.

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.........

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.

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.

Question 5

A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.

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