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.
Write the truth value (T/F) of each of the following statements. (i) Any two similar figures are congruent. (ii) Any two congruent figures are similar. (iii) Two polygons are similar, if their corresponding sides are porportional (iv) Two polygons are similar, if their corresponding angles are porportional (v) Two triangles are similar if their corresponding angles are proportional. (v) Two triangles are similar if their corresponding angles are equal.