Answer :

(1) False

For equilateral triangles, all the six correspondences are similarity. But in triangles other than equilateral, the measures of all the angles are not same.

(2) True

Congruent triangles are equal with respect to size and shape, while for triangles to be similar, it is sufficient that their shapes are same.

(3) False

Similar triangles are equal in shape but not in size. For triangles to be congruent, they must be equal in both, shape as well as size. Hence, all similar triangles are not congruent.

(4) True

For ∆ABC, the correspondence ABC↔BAC is a similarity.

∴ ∠A≅∠B

∴BC≅AC

Hence, two sides of ABC are congruent and therefore ∆ABC is an isosceles triangle.

(5) Given statement is true.

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