Exercise – 10.1-class seven

Read More »## Exercise 10.1|Class seven| Congruence| Part – 1

Problem – 1: In the figure, CD is the perpendicular bisector of AB, Prove that ∆ADC ≅ ∆BDC. Solution: Particular enunciation: Given that, in the figure, CD is the perpendicular bisector of AB. i.e., AD = BD. We have to prove that, ∆ADC ≅ ∆BDC. Proof: In ∆ADC and ∆BDC, ...

Read More »## Conditions of congruence of triangles

Definition of congruence: If two figures exactly cover each other then they are called congruent. Definition of congruence of triangles: If a triangle when placed on another, exactly covers the other, the triangles are congruent. Two triangles will be congruence if – Side Angle Side( SAS): If two pairs ...

Read More »## Basic properties of congruence and their proved

i) a ≡ b (mod n) Proof: For any integer a, we have 0/n = 0 ⟹ (a – a) / n = 0 ⟹ a – a = 0.n ⟹ a ≡ a (mod n) (proved) ii) If a ≡ b (mod n) then b ≡ a(mod n) ...

Read More »## Congruence

Definition: Let n be a fixed positive integer. Two integers a and b are said to be congruent modulo n, symbolized by a ≡ b (mod n) if divides the difference a – b ; that is, provided that a – b = kn for some integer k. a is ...

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