All isosceles triangles are similar.
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.
Fill in the blanks using correct word given in the brackets:−
(i) All circles are __________. (congruent, similar)
(ii) All squares are __________. (similar, congruent)
(iii) All __________ triangles are similar. (isosceles, equilateral)
(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and (b) their corresponding sides are __________. (equal, proportional)