Similar figures are always congruent, whereas the congruent figures are not necessarily similar.

True

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False

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Solution

The correct option is B
False

Congruent figures are always similar, whereas the similar figures are not necessarily congruent. In case of similar figures we consider only the shapes whereas, in the case of congruent triangles, we consider both the shapes and sizes of the figure. Congruent triangles can be treated as the special case of the similar triangles when the ratio of corresponding sides is equal to 1.

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Similar questions

All congruent figures are similar but similar figures need not be congruent.

All congruent figures are similar but the similar figures need not be congruent.

Q. Dilated figures are similar but not congruent.

State, true or false :
(i) Two similar polygons are necessarily congruent.
(ii) Two congruent polygons are necessarily similar.
(iii) All equiangular triangles are similar.
(iv) All isosceles triangles are similar.
(v) Two isosceles-right triangles are similar.
(vi) Two isosceles triangles are similar if an angle of one is congruent to the corresponding angle of the other.
(vii) The diagonals of a trapezium divide each other into proportional segments.

Q. Write True / False for the following statement:
Any two congruent figure are similar.

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