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Question

Given two triangles ΔABC and ΔDEF such: BC=6 cm,AC=4 cm,mB=35,
EF=6 cm,DF=4 cm,mE=35, then ΔABCΔDEF

A
True.
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B
False
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Solution

The correct option is B False
Given two triangles ΔABC and ΔDEF with the given information:
BC=6 cm,AC=4 cm,mB=35,
EF=6 cm,DF=4 cm,mE=35

Here, we can not apply SAS rule because equal angle i.e. 35o is not included between equal sides here.

Here, If we draw the diagrams for both the triangles, we see the following two cases:
Clearly as C is not fixed, we can have the above two orientations both satisfying the given condition.

We can't say for sure that the two triangles will be congruent.

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