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English Medium Class 9 - CBSE Question Bank Solutions

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How many planes can be made to pass through a line and a point not on the line?

[7] Introduction to Euclid’s Geometry: Axioms and Postulates
Chapter: [7] Introduction to Euclid’s Geometry: Axioms and Postulates
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How many planes can be made to pass through two points?

[7] Introduction to Euclid’s Geometry: Axioms and Postulates
Chapter: [7] Introduction to Euclid’s Geometry: Axioms and Postulates
Concept: undefined >> undefined

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How many planes can be made to pass through three distinct points?

[7] Introduction to Euclid’s Geometry: Axioms and Postulates
Chapter: [7] Introduction to Euclid’s Geometry: Axioms and Postulates
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Find the area of a triangle whose base and altitude are 5 cm and 4 cm respectively.

 
[12] Area and Perimeter
Chapter: [12] Area and Perimeter
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Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.

 
[12] Area and Perimeter
Chapter: [12] Area and Perimeter
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Find the area of an isosceles triangle having the base x cm and one side y cm.

 
[12] Area and Perimeter
Chapter: [12] Area and Perimeter
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Find the measure of each angle of an equilateral triangle.

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ΔBCE.

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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Prove that the sum of three altitudes of a triangle is less than the sum of its sides.

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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In the given figure, if AB = AC and ∠B = ∠C. Prove that BQ = CP.

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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Mark the correct alternative in each of the following:

If ABC ≅  ΔLKM, then side of ΔLKM equal to side AC of ΔABC is

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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If ΔABC ≅  ΔABC is isosceles with

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined

In triangles ABC and PQR three equality relations between some parts are as follows:
AB = QP, ∠B = ∠P and BC = PR

State which of the congruence conditions applies:

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined

In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
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In ΔPQR ≅ ΔEFD then ED =

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined

If ΔPQR≅ ΔEFD, then ∠E =

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined

In a ΔABC, if AB = AC and BC is produced to D such that ∠ACD = 100°, then ∠A =

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined

Which of the following is not a criterion for congruence of triangles?

[9] Triangles: Congruence Theorems
Chapter: [9] Triangles: Congruence Theorems
Concept: undefined >> undefined
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