State if the following is true or false.

All isosceles triangles are similar.

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True

False

answer is B.

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Detailed Solution

We need to find whether all isosceles triangles are similar.
We know,
Two triangles are similar,
(i) Two pairs of corresponding angles are equal
(ii) Three pairs of corresponding sides are proportional.
There may be two isosceles triangles with two equal sides, but it is not necessary that the proportion of their corresponding sides are the same.
Hence, all isosceles triangles are not similar.
Therefore, the statement is false.
Hence, option 2 is correct.

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