The diagonals of the quadrilateral $D E F G$ are and .

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Solution

A line joining opposite vertices of quadrilateral are the diagonal of the quadrilateral.
Here in the quadrilateral $D E F G$ , $D F a n d E G$ are the diagonals of the quadrilateral.

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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 ___.

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

Q. The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if
(a) ABCD is a rhombus
(b) diagonals of ABCD are equal
(c) diagonals of ABCD are perpendicular
(d) diagonals of ABCD are equal and perpendicular

Q. The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if
(a) ABCD is a Parallelogram
(b) ABCD is rectangle
(c) diagonals of ABCD are equal
(d) diagonals of ABCD are perpendicular to each other.

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The diagonals of the quadrilateral DEFG are __________ and __________.

A line joining opposite vertices of quadrilateral are the diagonal of the quadrilateral.Here in the quadrilateral DEFG ,DFandEG are the diagonals of the quadrilateral.

The diagonals of the quadrilateral $D E F G$ are and .

A line joining opposite vertices of quadrilateral are the diagonal of the quadrilateral.
Here in the quadrilateral $D E F G$ , $D F a n d E G$ are the diagonals of the quadrilateral.