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Your Friend claims that two isosceles triangles ABC and DEF are congrent if two corresponding sides are congruent. He explains that there are only two different lengths of sides, so if AB is congruent to DE and BC is congruent to Ef then it must follow that CA is congren to FD. Explain the error in his reasonin

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Yna9141
First of all, an isosceles triangle is that which has a pair of sides with the same lengths. Therefore, there could only be two measurements for the sides comprising the perimeter of the triangle. Those are the sides of the triangle and the base. 

The error in the reasoning is that there are 3 pairs of congruent sides where in fact there should only be 2. 
raphealnwobi

For CA to be congruent to FD, ∠B must be equal to ∠E.

Congruent figures

Two figures are said to be congruent if they have the same shape and all the corresponding sides and angles of the two figures are congruent to each other.

For triangles ABC and DEF to be congruent, since AB is congruent to DE and BC is congruent to EF. CA might not be congruent to FD. For CA to be congruent to FD, ∠B must be equal to ∠E.

Find out more on Congruent figures at: https://brainly.com/question/1675117

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