If both the diagonals lie inside a quadrilateral then it is called _________ .

convex quadrilateral

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concave quadrilateral

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interior quadrilateral

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exterior quadrilateral

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Solution

The correct option is A convex quadrilateral
If each angle of a quadrilateral is less than 180° and both diagonals lie inside, then it is a convex quadrilateral.
Ex:

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Similar questions

Q. If the diagonals of a Quadrilateral do not lie in the interior of the Quadrilateral, then what kind of Quadrilateral is it?

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.

Q. If the diagonals of a quadrilateral bisect each other then quadrilateral is a parallelograms. Prove it

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.

If the diagonals bisect each other in a quadrilateral, then, it is a parallelogram.

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If both the diagonals lie inside a quadrilateral then it is called _________ .

The correct option is A convex quadrilateralIf each angle of a quadrilateral is less than 180° and both diagonals lie inside, then it is a convex quadrilateral.​ Ex:

The correct option is A convex quadrilateral
If each angle of a quadrilateral is less than 180° and both diagonals lie inside, then it is a convex quadrilateral.
Ex: