Question 1 :
D and E are mid-points of the sides AB and AC of ∆ABC and O is any point on the side BC. O is joined to A. If P and Q are mid-points of OB and OC respectively, then DEQP is

Question 2 :
A quadrilateral in which the diagonals are equal and bisect each other at right angles is a

Question 4 :
In the given figure, ABCD is a trapezium with parallel sides AB = a cm and DC = b cm. E and F are mid-points of the non parallel sides. The ratio of area of ABEF and area of EFCD is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d6a46c669e046ac22d1db" /width=210>

Question 5 :
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a

Question 6 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if

Question 8 :
The mid-points of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to

Question 9 :
In the given figure, O is the centre of the circle. If OA = 5 cm, AB = 8 cm and OD &perp; AB, then length of CD is equal to<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3762001ce34bec8e2ef6" />

Question 10 :
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠D AC = 32° and ∠AOB = 70°, then ∠DBC is equal to