Question 1 :
If P is a point in the interior of a circle with centre O and radius r, then

Question 2 :
If triangle ABC is obtuse angled and ∠C is obtuse, then

Question 3 :
If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a

Question 4 :
Which of the following is not a criterion for congruency of triangles?

Question 5 :
If the sides of a rectangular plot are 15 m and 8 m, then the length of its diagonal is

Question 6 :
If the lengths of two sides of an isosceles are 4 cm and 10 cm, then the length of the third side is

Question 8 :
In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to

Question 9 :
If a ladder 10 m long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is

Question 11 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus if

Question 12 :
ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB is

Question 13 :
In the adjoining figure, ABCD is a quadrilateral in which BN and DM are drawn perpendiculars to AC such that BN = DM. If OB = 4 cm, then BD is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d89c97ba776464e7f2913" /width=190>

Question 14 :
In the adjoining figure, O is mid point of AB. If &ang;ACO = &ang;BDO, then &ang;OAC is equal to<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d89787ba776464e7f290d" /width=250>

Question 15 :
Two sides of a triangle are of lenghts 5 cm and 1.5 cm. The length of the third side of the triangle can not be

Question 16 :
The figure formed by joining the mid points of the sides of a quadrilateral ABCD, taken in order, is a square only if

Question 17 :
If PQRS is a parallelogram, then ∠Q – ∠S is equal to

Question 18 :
A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is

Question 19 :
In a ∆ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm. If D and E are mid-points of AB and BC respectively, then the length of DE is

Question 20 :
In the given figure, AB || DC and AB &ne; DC. If the diagonals AC and BD of the trapezium ABCD intersect at O, then which of the following statements is not true?<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c375f98e8ad4b910e5680">

Question 21 :
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 22 :
A quadrilateral in which the diagonals are equal and bisect each other at right angles is a

Question 25 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if

Question 26 :
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 27 :
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 28 :
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a