Question 2 :
If P and Q are any two points on a circle, then the line segment PQ is called a
Question 3 :
If a, b, c are the lengths of the sides of a triangle, then
Question 4 :
If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a
Question 5 :
Which of the following is not a criterion for congruency of triangles?
Question 7 :
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 :
Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is
Question 10 :
If P is a point in the interior of a circle with centre O and radius r, then
Question 11 :
If triangle ABC is obtuse angled and ∠C is obtuse, then
Question 13 :
If the sides of a rectangular plot are 15 m and 8 m, then the length of its diagonal is
Question 14 :
It is not possible to construct a triangle when the lengths of its sides are
Question 15 :
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 16 :
If PQRS is a parallelogram, then ∠Q – ∠S is equal to
Question 17 :
In ∆PQR, ∠R = ∠P, QR = 4 cm and PR = 5 cm. Then the length of PQ is
Question 18 : In the adjoining figure, AB = CF, EF=BD and ∠AFE = ∠DBC. Then the rule by which ∆AFE ≅ ∆CBD is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3782006e1e13a9a97004">
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, area of parallelogram ABCD is<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c375d001ce34bec8e2eeb">
Question 21 :
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of the side of the rhombus is
Question 22 :
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 23 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus if
Question 24 : 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 25 :
In ∆ABC and APQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
Question 26 :
A ladder reaches a window 12 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9 m high. If the length of the ladder is 15 m, then the width of the street is
Question 27 :
A girl walks 200 m towards East and then she walks 150 m towards North. The distance of the girl from the starting point is
Question 28 :
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is
Question 29 : In the given figure, AB || DC and AB ≠ 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 30 :
If a side of a rhombus is 10 cm and one of the diagonals is 16 cm, then the length of the other diagonal is
Question 31 : In the adjoining figure, AC = BD. If ∠CAB = ∠DBA, then ∠ACB is equal to <br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3783006e1e13a9a97008">
Question 32 :
A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is
Question 33 :
In ∆ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm. IfD and E are mid-points of AB and BC respectively, then the length of DE is
Question 34 :
If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of area of the triangle to the area of parallelogram is
Question 35 : In the adjoining figure, O is mid point of AB. If ∠ACO = ∠BDO, then ∠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 36 :
The figure formed by joining the mid points of the sides of a quadrilateral ABCD, taken in order, is a square only if
Question 37 : In the given figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d6b047ba776464e7f2633" /width=190>
Question 38 :
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
Question 39 : In the given figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5ff2dbb94e882678264ece2b" />
Question 40 : In the adjoining figure, AB ⊥ BE and FE ⊥ BE. If AB = FE and BC = DE, then<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d8944c669e046ac22d4da" /width=190>
Question 41 :
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 43 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if
Question 44 : In the given figure, O is the centre of the circle. If OA = 5 cm, AB = 8 cm and OD ⊥ 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 46 :
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
Question 47 :
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 48 :
AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, then the distance of AB from the centre of circle is
Question 49 :
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
Question 50 :
A quadrilateral in which the diagonals are equal and bisect each other at right angles is a
