What are properties of all isosceles triangles ?

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Solution

Properties of an isosceles triangle
(1) two sides are equal
(2) Corresponding angles opposite to these sides are equal.
(3) Perpendicular drawn to the third side from the corresponding vertex will bisect the third side.
(4) Hence the altitude drawn will divide the isosceles triangle into two congruent right triangles.
(5) Equilateral triangle is a special case of an isosceles triangle with all three sides and their corresponding angles equal.

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All equilateral triangle are isosceles, but not all isosceles are equilateral. why ?

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. All equilateral triangles are isosceles, but not all isosceles triangles are equilateral.

Q. Which of the following are the properties of an isosceles triangle?

properties of isosceles triangle