Maths-
General
Easy

Question

State the property of congruence and write symbolically the congruency in the correct order.
(i) 
(ii) 

hintHint:

From the figure, find the congruence rule and then write congruent triangles.

The correct answer is: Congruent triangles.


    (i) ASA congruence rule (Angle - Side -  Angle)
    Two angles are said to be congruent if two angles and the included side of one
    triangle is equal to two angles and the included side of another triangle.
    Here,
    straight angle C A B equals straight angle R P Q comma straight angle C B A equals straight angle R Q P and AB = PQ
    Comparing these correspondence between sides and angles, we have
    ΔABC ⩭ ΔPQR
    (ii) RHS congruence rule (Right angle - Hypotenuse - Side)
    Two right angles are congruent if the hypotenuse and one side of first triangle are
    respectively equal to the hypotenuse and one side of the second triangle.
    Here,
    straight angle X equals straight angle L equals 90 to the power of ring operator, XY = LN= 3 cm and YZ = NM = 5cm
    Comparing these correspondence between sides and eagles, we have
    ΔXYZ ⩭ ΔLNM

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