Properties of Diagonal of a Parallelogram
Trending Questions
Q. E and F are points on diagonal AC of parallelogram ABCD, such that, AE = CF. We can conclude that, BFDE is a ____.
- Trapezium
- Parallelogram
- Rectangle
- Kite
Q.
A diagonal of a parallelogram divides it into two congruent triangles.
True
False
Q.
If the diagonals bisect each other in a quadrilateral, then, it is a parallelogram.
False
True
Q. ___ is a quadrilateral whose diagonals are not equal but bisect each other at right angle.
- Square
- Rhombus
- Trapezium
- Rectangle
Q. Match List – I with List – II and select the correct answer using the codes given below the lists:
PropertiesQuadrilateralsIn a parallelogram ABCDIf ∠D=115∘, then the measure of ∠A =68∘PQRS is a square such that PR and SQ intersect at Othen the measure of ∠POQ=58∘The diagonals of a rectangle ABCD meet at O. If ∠BOC=44∘, then the measure of ∠OAD = 90∘If ABCD is a rectangle with ∠BAC=32∘, then the measure of∠DBC is =65∘
Choose the correct option:
PropertiesQuadrilateralsIn a parallelogram ABCDIf ∠D=115∘, then the measure of ∠A =68∘PQRS is a square such that PR and SQ intersect at Othen the measure of ∠POQ=58∘The diagonals of a rectangle ABCD meet at O. If ∠BOC=44∘, then the measure of ∠OAD = 90∘If ABCD is a rectangle with ∠BAC=32∘, then the measure of∠DBC is =65∘
Choose the correct option:
- (A)→p;(B)→q;(C)→r;(D)→s
- (A)→s;(B)→r;(C)→q;(D)→p
- (A)→s;(B)→r;(C)→p;(D)→q
- (A)→r;(B)→s;(C)→q;(D)→p
Q. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
- False
- True
Q. If the diagonals of a parallelogram are equal and don't intersect at right angles, then it is called a .
- rhombus
- rectangle
- kite
- Square
Q.
Assertion : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
Reason : The opposite angles of a parallelogram are equal.
Which of the following is correct?
- A is false and R is true.
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true and R is not the correct explanation of A.
- A is true and R is false.
Q. In a parallelogram ABCD diagonals AC and BD intersects at O and AC =12.8 cm and BD=7.6 cm, then the measure of OC and OD respectively equal to
- 3.8 cm and 3.2 cm
- 3.8 cm, 3.8 cm
- 6.4 cm and 3.8 cm
- 1.9 cm and 6.4 cm
Q. Given below is a parallelogram ABCD. Find the value of x and y.

- 4 cm, 6 cm
- 2 cm, 4 cm
- 1 cm, 2 cm
- 3 cm, 4 cm