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Mathematics

Grade9

Easy

Question

Complete the congruence statement.
$capital delta R A C approximately equal to capital delta$ ____.

OEG
OGE
EGO
GOE

hint Hint:

In two triangles, if the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle, then the two triangles are congruent. Also, check the order of Congruence to match with diagram and property.

The correct answer is: OEG

Given, As per diagram sides length
RA = OE (the given notation in the diagram indicates both sides are equal)
AC = EG (the given notation in the diagram indicates both sides are equal)
CR = GO (the given notation in the diagram indicates both sides are equal)
Here the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle. By SSS rule ,
Δ RAC ≅ Δ OEG(Here, The order of equal sides and angles must coincide with order of Δ RAC≅ΔOEG)

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